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NSR database version of April 11, 2024.

Search: Author = F.Pan

Found 98 matches.

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2024PA10      Phys.Lett. B 848, 138340 (2024)

F.Pan, Y.Zhang, L.Dai, J.P.Draayer, D.Kekejian

A multi-shell extension of the interacting boson model

NUCLEAR STRUCTURE 152Sm; calculated strength distributions, energy levels, J, π, B(Eλ), electric quadrupole moments with a multi-shell extension of the IBM for even-even nuclei that includes multiple excitations. Comparison with available data.

doi: 10.1016/j.physletb.2023.138340
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2023PA33      Nucl.Phys. A1040, 122746 (2023)

F.Pan, L.Dai, J.P.Draayer

Wigner coefficients of U(4) SUS(2) (X) SUT(2)

doi: 10.1016/j.nuclphysa.2023.122746
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2022HE08      Phys.Rev. C 105, 044332 (2022)

B.C.He, S.Y.Zhang, L.Li, Y.A.Luo, Y.Zhang, F.Pan, J.P.Draayer

Even-even Nd isotopes in an SD-pair shell model

NUCLEAR STRUCTURE 144,146,148,150,152,154,156Nd; calculated levels, J, π, B(E2). Nucleon pair shell model truncated to SD collective pair subspace (SDPSM). Comparison to experimental data.

doi: 10.1103/PhysRevC.105.044332
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2022LI12      Int.J.Mod.Phys. E31, 2250014 (2022)

Z.W.Li, B.C.He, L.Li, Y.A.Luo, L.N.Bao, F.Pan, J.P.Draayer

Nucleon-pair shell model: Effect of non-collective pairs for odd 123-129Sn

NUCLEAR STRUCTURE 123,124,125,126,127,128,129Sn; calculated energy levels, J, π, relative angular momenta, B(E2) within the framework of nucleon-pair shell model (NPSM).

doi: 10.1142/S0218301322500148
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2022LI33      Nucl.Phys. A1024, 122476 (2022)

B.Li, F.Pan, X.-X.Ding, J.P.Draayer

Transitional patterns in the spherical mean-field plus quadrupole-quadrupole and pairing model within two-j shells

doi: 10.1016/j.nuclphysa.2022.122476
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2022XU02      Phys.Rev. C 105, 014304 (2022)

H.T.Xue, X.R.Zhou, S.Y.Zhang, B.C.He, Y.A.Luo, L.Li, F.Pan, J.P.Draayer

Neutrinoless double-β decay in the nucleon-pair shell model

RADIOACTIVITY 130Te, 134,136Xe(2β-); calculated nuclear matrix elements (NMEs) of g.s. to g.s. neutrinoless double-β decay (0νββ) in the nucleon pair shell-model framework, with surface-δ approximation (SDI) and the BCS approximation. Comparison with shell model (SM), quasiparticle random-phase approximation (QRPA), and IBM2 theoretical calculations.

NUCLEAR STRUCTURE 130,134,136Xe, 130Te, 134,136Ba; calculated low-lying positive-parity levels p to 10+ using shell model in the surface-δ approximation (SD)-pair or the SDG-pair subspace. Comparison with experimental data taken from the ENSDF database at NNDC, BNL.

doi: 10.1103/PhysRevC.105.014304
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2021DO07      J.Phys.(London) G48, 045103 (2021)

W.-T.Dong, Y.Zhang, B.-C.He, F.Pan, Y.-A.Luo, J.P.Draayer, S.Karampagia

Statistical analysis of the excited-state quantum phase transitions in the interacting boson model

doi: 10.1088/1361-6471/abdd8c
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2021JA06      Phys.Rev. C 103, 024317 (2021)

A.Jalili Majarshin, Y.-A.Luo, F.Pan, H.T.Fortune, J.P.Draayer

Nuclear structure and band mixing in 194Pt

NUCLEAR STRUCTURE 194Pt; calculated levels, J, π, B(E2), potential-energy surface in (β, γ) plane, E2 strengths and transition matrix elements; deduced that slightly more collective of the lower basis-state band than that of the excited-state band. Transitional Hamiltonian of the interacting boson model with two-particle and two-hole configuration mixing, with the addition of configuration mixing Hamiltonian in pairing model.

doi: 10.1103/PhysRevC.103.024317
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2021JA07      Chin.Phys.C 45, 024103 (2021)

A.Jalili Majarshin, Y.-A.Luo, F.Pan, J.P.Draayer

Band mixing in 96, 98Mo isotopes

NUCLEAR STRUCTURE 96,98Mo; calculated energy spectra, J, π, B(E2), mixing amplitudes and mixing potentials. Coexistence mixing configuration (CMC).

doi: 10.1088/1674-1137/abcc59
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2021MA44      Phys.Rev. C 104, 014321 (2021)

A.J.Majarshin, Y.-A.Luo, F.Pan, H.T.Fortune

Structure of rotational bands in 109Rh

NUCLEAR STRUCTURE 109Rh; calculated levels, J, π, rotational bands, B(E2), B(M1) using interacting boson-fermion model (IBFM), with extended transitional Hamiltonian by adding a two-configuration mixing term; deduced triaxiality and shape coexistence for 109Rh. Comparison with experimental data.

doi: 10.1103/PhysRevC.104.014321
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2021MA53      Phys.Rev. C 104, 024332 (2021)

A.J.Majarshin, Y.-A.Luo, F.Pan, H.Sabri, M.Rezaei, J.P.Draayer

Properties of giant dipole resonances within an extended pairing model with a focus on spectral statistics

NUCLEAR STRUCTURE 32S, 40Ca, 52Cr, 56Fe, 58,60Ni, 70,72,74,76Ge, 76Se, 86Kr, 88Sr, 90Zr, 116,124Sn; analyzed experimental spectral and statistical features of negative- and positive-parity dipole states using random matrix theory (RMT) and Berry-Robnik distribution (BRD) methodologies; calculated Poisson distributions and integrands for Giant-dipole resonances for the nearest-neighbor spacing distribution (NNSD). Calculations based on spd-interacting boson model (IBA), with the pairing correlations from solutions of the Bethe ansatz equation.

doi: 10.1103/PhysRevC.104.024332
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2021MA84      J.Phys.(London) G48, 125107 (2021)

A.J.Majarshin, Y.-A.Luo, F.Pan, H.T.Fortune, Y.Zhang, J.P.Draayer

Quantum phase transitions and band mixing in 135Ba

NUCLEAR STRUCTURE 134,135Ba; calculated variation of some excitation energy levels, energy differences and ratios in odd systems, B(E2), energy spectra. Comparison with available data.

doi: 10.1088/1361-6471/ac2fb1
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2021PA28      Eur.Phys.J. A 57, 218 (2021)

F.Pan, Y.He, A.Li, Y.Wang, Y.Wu, J.P.Draayer

Extended Heine-Stieltjes polynomials related to the isovector pairing model

doi: 10.1140/epja/s10050-021-00535-3
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2020HE01      Phys.Rev. C 101, 014324 (2020)

B.C.He, H.T.Xue, L.Li, Y.A.Luo, Y.Zhang, F.Pan, J.P.Draayer

Noncollective nucleon pairs in even-even 124-128Sn

NUCLEAR STRUCTURE 124,126,128Sn; calculated positive-parity yrast levels up to 20+, Eγ versus spin, level energy versus spin, and E-GOS versus spin distributions, B(E2) ratios, number of noncollective pairs as function of spin. Collective S- and D-pair shell model (SDPSM) calculations. Comparison with experimental data.

doi: 10.1103/PhysRevC.101.014324
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2020HE20      Phys.Rev. C 102, 024304 (2020)

B.C.He, L.Li, Y.A.Luo, Y.Zhang, F.Pan, J.P.Draayer

Nucleon pair shell model in M scheme

NUCLEAR STRUCTURE 150Nd; calculated levels, J, π, B(E2) using nucleon pair shell model (NPSM) cast into M scheme for the cases with isospin symmetry and without isospin symmetry, with the odd system and even system treated on the same footing. Comparison with experimental data.

doi: 10.1103/PhysRevC.102.024304
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2020HE29      Int.J.Mod.Phys. E29, 2050088 (2020)

B.C.He, Y.Zhang, L.Li, Y.A.Luo, F.Pan, J.P.Draayer

SD-pair shell model: Vibrational and rotational limits in the interacting boson-fermion model for like-nucleon system

doi: 10.1142/S0218301320500883
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2020LI22      Int.J.Mod.Phys. E29, 2050039 (2020)

B.Li, F.Pan, X.-X.Ding, J.P.Draayer

Quantum phase crossover in the spherical mean-field plus quadrupole-quadrupole and pairing model with two j-orbits

NUCLEAR STRUCTURE 103,104,105,106,107,108,109,110Sn; calculated level energies, J, π, B(Eλ) ratios; deduced parameters.

doi: 10.1142/S0218301320500391
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2020PA13      Eur.Phys.J. A 56, 78 (2020)

F.Pan, D.Li, S.Cui, Y.Zhang, Z.Feng, J.P.Draayer

Exact solution of spherical mean-field plus multi-pair interaction model with two non-degenerate j-orbits

doi: 10.1140/epja/s10050-020-00084-1
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2020PA38      Phys.Rev. C 102, 044306 (2020)

F.Pan, Y.He, Y.Wu, Y.Wang, K.D.Launey, J.P.Draayer

Neutron-proton pairing correction in the extended isovector and isoscalar pairing model

NUCLEAR STRUCTURE 18,20,22O, 18,20F, 18,20,22,24Ne, 20,22,24Na, 20,22,24,26Mg, 22,24,26,28Si, 24,26Al; calculated binding energies, energies of 0+ states with isospin T=1-3, isovector np, nn, and pp pairing contributions to the binding energies. Extended isovector and isoscalar pairing model. Comparison with experimental values.

doi: 10.1103/PhysRevC.102.044306
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2020PA42      Eur.Phys.J. Special Topics 229, 2497 (2020)

F.Pan, X.Guan, L.-R.Dai, Y.Zhang, J.P.Draayer

Exact solutions of mean-field plus various pairing interactions and shape phase transitions in nuclei

NUCLEAR STRUCTURE 58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77Ni, 157,158,159,160,161,162,163,164,165,166,167,168,169,170,171Er, 159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174Yb, 223,224,225,226,227,228,229,230,231,232,233,234,235Th, 226,227,228,229,230,231,232,233,234,235,236,237,238,239U; calculated pairing gap, binding energies. Comparison with available data.

doi: 10.1140/epjst/e2020-000014-5
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2020SO04      Eur.Phys.J. A 56, 29 (2020)

H.Sobhani, H.Hassanabadi, D.Bonatsos, F.Pan, S.Cui, Z.Feng, J.P.Draayer

Analytical study of the γ-unstable Bohr Hamiltonian with quasi-exactly solvable decatic potential

doi: 10.1140/epja/s10050-020-00048-5
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2020SO17      Nucl.Phys. A1002, 121956 (2020)

H.Sobhani, H.Hassanabadi, D.Bonatsos, F.Pan, J.P.Draayer

γ-Unstable Bohr Hamiltonian with sextic potential for odd-A nuclei

NUCLEAR STRUCTURE 187,189,191,193,195Ir; analyzed available data; calculated energy ratios, B(E2) using the collective model of the γ-unstable Bohr Hamiltonian with the quasi exactly solvable sextic potential.

doi: 10.1016/j.nuclphysa.2020.121956
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2019CH26      Nucl.Phys. A987, 90 (2019)

Y.X.Chen, H.Jiang, W.T.Dong, Y.Zhang, F.Pan, Y.A.Luo

A triaxial critical point symmetry for odd-A nuclei

NUCLEAR STRUCTURE 135Ba; calculated low-lying levels, J, π for γ=150 and 300 (normalized to E(5/21)) and to E(2+1) in another calculation, B(E2) transitions using T(4) and T(4/2j+1) within newly developed Critical Point Symmetry (CPS) for odd-even systems through coupling the T(4) CPS to a single particle within spherical j-orbit; deduced large deformation (γ deformation) in the case of j=3/2 giving alternative explanation of the level structure built on single-particle orbit 2d3/2.

doi: 10.1016/j.nuclphysa.2019.04.007
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2019GU10      Nucl.Phys. A986, 86 (2019)

X.Guan, H.Zhao, F.Pan, J.P.Draayer

Ground-state shape evolution in Er and Yb isotopes

NUCLEAR STRUCTURE 154,155,156,157,158,159,160,161,162,163Er, 156,157,158,159,160,161,162,163,164,165Yb; calculated, extracted deformation parameters using published experimental data, neutron/proton pairing interaction strength from binding energies and odd-even mass differences, energy ratio; deduced that the gs shape (phase) evolution is mainly due to pairing interaction and less by quadrupole deformation. Axially deformed Nilsson mean-field plus extended pairing model.

doi: 10.1016/j.nuclphysa.2019.03.012
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2019HE14      Eur.Phys.J. A 55, 143 (2019)

B.-C.He, S.-Y.Zhang, Y.Zhang, Y.-A.Luo, F.Pan, J.P.Draayer

Understanding nuclear dynamics in the SD-pair shell model: From pre-vibration to collective rotation

doi: 10.1140/epja/i2019-12835-x
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2019JA02      Ann.Phys.(New York) 407, 250 (2019)

A.Jalili Majarshin, F.Pan, H.Sabri, J.P.Draayer

Systematic analysis on spectral statistics of odd-A nuclei

NUCLEAR STRUCTURE A=71-221; analyzed available data; deduced a mass number-dependence in the level statistics for given spin and parity.

doi: 10.1016/j.aop.2019.05.002
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2019MI22      Phys.Rev. C 100, 064310 (2019)

M.E.Miora, K.D.Launey, D.Kekejian, F.Pan, J.P.Draayer

Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states

NUCLEAR STRUCTURE 10He, 10,12Be, 10,12B, 10,12,14C, 12,14N, 12,14,18,20,22O, 18,20F, 18,20,22Ne, 22Na, 20,22Mg, 22,34Si, 34,36S, 34Cl, 34,38Ar, 36,38K, 34,36,38,42,44,46Ca, 42,44Sc, 36,42,44,46,50Ti, 46,50V, 44,46,50,52Cr, 50,52Mn, 46,50,52,54Fe, 54,58Co, 50,52,54,58,60,62Ni, 58,60,62Zn, 62Ga, 60,62Ge; calculated energies of 0+, T=0-3 states, binding energies and lowest isobaric analog 0+, T=0-3 excited states, staggering amplitudes for the total energy, total isovector pairing gaps. Shell-model Hamiltonian giving exact solutions for the lowest isobaric analog 0+, T=0-3 states using 16O, 40Ca and 56Ni as core nuclei. Comparison with experimental data. Discussed proton-neutron pairing correlations in nuclei, of relevance for waiting-point nuclei for the rp nucleosynthesis.

doi: 10.1103/PhysRevC.100.064310
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2019PA15      Nucl.Phys. A984, 68 (2019)

F.Pan, S.Yuan, Y.He, Y.Zhang, S.Yang, J.P.Draayer

An exact solution of spherical mean-field plus orbit-dependent non-separable pairing model with two non-degenerate j-orbits

doi: 10.1016/j.nuclphysa.2019.01.005
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2019PA38      Chin.Phys.C 43, 074106 (2019)

F.Pan, D.Zhou, S.Yang, G.Sargsyan, Y.He, K.D.Launey, J.P.Draayer

A close look at the competition of isovector and isoscalar pairing in A=18 and 20 even-even N ≈ Z nuclei

NUCLEAR STRUCTURE 18,20O, 18,20F, 18,20Ne, 20Na; calculated energy levels, J, π using using the mean-field plus dynamic QQ, pairing and particle-hole interaction model.

doi: 10.1088/1674-1137/43/7/074106
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2018PA12      Phys.Rev. C 97, 034316 (2018)

F.Pan, D.Li, G.Cheng, Z.Qiao, J.Bai, J.P.Draayer

Exactly solvable configuration mixing scheme in the vibrational limit of the interacting boson model

NUCLEAR STRUCTURE 108,110Cd; calculated low-lying low-spin levels, J, π, B(E2) ratios relative to B(E2) for the first 2+ states using intruder configuration mixing scheme in the U(5) (vibrational) limit of the interacting boson model. Comparison with experimental data.

doi: 10.1103/PhysRevC.97.034316
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2018PA13      Phys.Rev. C 97, 034326 (2018)

F.Pan, S.Yuan, Z.Qiao, J.Bai, Y.Zhang, J.P.Draayer

γ-soft rotor with configuration mixing in the O(6) limit of the interacting boson model

NUCLEAR STRUCTURE 194Pt; calculated levels, J, π, B(E2), quadrupole moments using O(6), γ-unstable limit of the interacting boson model (IBM). Comparison with experimental data.

doi: 10.1103/PhysRevC.97.034326
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2018PA18      Nucl.Phys. A974, 86 (2018)

F.Pan, X.Ding, K.D.Launey, J.P.DraayerJ.P.Draayer

A simple procedure for construction of the orthonormal basis vectors of irreducible representations of O(5) in the OT(3) (X) ON (2) basis

doi: 10.1016/j.nuclphysa.2018.03.011
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2017DA01      Nucl.Phys. A957, 51 (2017)

L.Dai, F.Pan, J.P.Draayer

An exact solution of spherical mean-field plus a special separable pairing model

doi: 10.1016/j.nuclphysa.2016.08.001
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2017DA12      Chin.Phys.C 41, 074103 (2017)

L.Dai, F.Pan, J.P.Draayer

A nucleon-pair and boson coexistent description of nuclei

NUCLEAR STRUCTURE 102,106,110,114,118,122,126,130Sn; calculated energy levels, B(E2). Comparison with available data.

doi: 10.1088/1674-1137/41/7/074103
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2017PA04      Phys.Rev. C 95, 034308 (2017)

F.Pan, D.Zhou, L.Dai, J.P.Draayer

Exact solution of the mean-field plus separable pairing model reexamined

doi: 10.1103/PhysRevC.95.034308
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2017ZH35      Phys.Rev. C 96, 034323 (2017)

Y.Zhang, F.Pan, Y.-X.Liu, Y.-A.Luo, J.P.Draayer

γ-rigid solution of the Bohr Hamiltonian for the critical point description of the spherical to γ-rigidly deformed shape phase transition

NUCLEAR STRUCTURE 158Er; calculated positive-parity levels, J, ground, β and γ bands, B(E2) and level-energy ratios using T(4) model involving γ-rigid solution of the Bohr Hamiltonian with the β-soft potential. Comparison with theoretical calculations using the IBM, and with experimental data. New T(4) model as a link between the E(5) and the X(5) critical-point symmetries (CPS).

doi: 10.1103/PhysRevC.96.034323
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2016GU12      Phys.Rev. C 94, 024309 (2016)

X.Guan, H.Xu, Y.Zhang, F.Pan, J.P.Draayer

Ground state phase transition in the Nilsson mean-field plus standard pairing model

NUCLEAR STRUCTURE 144,145,146,147,148,149,150,151,152,153,154,155Nd, 146,147,148,149,150,151,152,153,154,155,156,157Sm, 148,149,150,151,152,153,154,155,156,157,158,159Gd; calculated Pairing interaction strength G, odd-even mass differences, odd-even differences of S(2n) values, odd-even differences of α-, and β--decay energies. Nilsson mean-field plus standard pairing model for the ground state phase transitions. Comparison with experimental values taken from NNDC databases.

doi: 10.1103/PhysRevC.94.024309
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2016LI03      Chin.Phys.C 40, 014101 (2016)

Q.-Y.Li, X.-X.Wang, Y.Zuo, Y.Zhang, F.Pan

Triaxial dynamics in the quadrupole-deformed rotor

doi: 10.1088/1674-1137/40/1/014101
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2016LI21      Phys.Rev. C 93, 044312 (2016)

B.Li, F.Pan, J.P.Draayer

Quantum phase transition in the spherical mean-field plus quadrupole-quadrupole and pairing model in a single-j shell

NUCLEAR STRUCTURE 212Rn, 214Ra, 213Fr, 215Ac; calculated levels, J, π, yrast bands, B(E2), electric quadrupole moments, energy and B(E2) ratios within the yrast bands using quantum-phase-transitional spherical shell-model mean field plus the geometric quadrupole-quadrupole and standard pairing model within a single-j shell. Comparison with experimental data.

doi: 10.1103/PhysRevC.93.044312
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2016PA05      Nucl.Phys. A947, 234 (2016)

F.Pan, X.Ding, K.D.Launey, H.Li, X.Xu, J.P.Draayer

An exactly solvable spherical mean-field plus extended monopole pairing model

NUCLEAR STRUCTURE 12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28O; calculated neutron single-particle energy, J, π using spherical shell model, pairing strength vs mass number, gs energy, mass excess vs mass number.

doi: 10.1016/j.nuclphysa.2016.01.004
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2016PA18      Nucl.Phys. A952, 70 (2016)

F.Pan, S.Yuan, K.D.Launey, J.P.Draayer

A new procedure for constructing basis vectors of SU(3) SO(3)

doi: 10.1016/j.nuclphysa.2016.04.024
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2016WA14      Nucl.Phys. A950, 1 (2016)

Y.Wang, F.Pan, K.D.Launey, Y.-A.Luo, J.P.Draayer

Angular momentum projection for a Nilsson mean-field plus pairing model

NUCLEAR STRUCTURE 18O, 18,20Ne, 24Mg; calculated low-spin levels, J, π, B(E2), electric quadrupole moment using angular momentum projection for axially deformed Nilsson mean-field plus MSP (Modified Standard Pairing) or NLP (nearest-level pairing). Compared to available data.

doi: 10.1016/j.nuclphysa.2016.03.012
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2016ZH13      Phys.Rev. C 93, 044302 (2016)

Y.Zhang, Y.Zuo, F.Pan, J.P.Draayer

Excited-state quantum phase transitions in the interacting boson model: Spectral characteristics of 0+ states and effective order parameter

doi: 10.1103/PhysRevC.93.044302
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2015GU19      Phys.Rev. C 92, 044303 (2015)

X.Guan, K.D.Launey, Y.Wang, F.Pan, J.P.Draayer

Ground-state properties of rare-earth nuclei in the Nilsson mean-field plus extended-pairing model

NUCLEAR STRUCTURE 152,153,154,155,156,157,158,159,160,161,162,163,164Er, 154,155,156,157,158,159,160,161,162,163,164,165,166Yb, 156,157,158,159,160,161,162,163,164,165,166,167,168Hf; calculated pairing interaction strengths, binding energies, even-odd mass differences, energies of the first pairing excitation states in A=156-164 Er, A=160-165 Yb and A=166-168 Hf nuclei, and moments of inertia for the ground-state bands. Dominance of s, d, and g valence nucleon pairs in the ground state. Nilsson mean-field using proton-proton and neutron-neutron pairing interactions. Comparison with experimental data.

doi: 10.1103/PhysRevC.92.044303
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2015PA13      Phys.Rev. C 91, 034305 (2015)

F.Pan, Y.Zhang, H.-C.Xu, L.-R.Dai, J.P.Draayer

Alternative solvable description of the E(5) critical point symmetry in the interacting boson model

doi: 10.1103/PhysRevC.91.034305
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2015ZH37      Chin.Phys.C 39, 104103 (2015)

Y.Zhang, X.Guan, Y.Wang, Y.Zuo, L.N.Bao, F.Pan

Shape phase transition in the odd Sm nuclei: effective order parameter and odd-even effect

NUCLEAR STRUCTURE 145,146,147,148,149,150,151,152,153,154,155,156,157,158Sm; calculated two-neutron separation energies, odd-even mass difference, evolution of the pairing strength, first pairing-excitation energy. BCS theory, CBCS scheme.

doi: 10.1088/1674-1137/39/10/104103
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2014ZH32      Phys.Rev. C 90, 044310 (2014)

Y.Zhang, F.Pan, L.-R.Dai, J.P.Draayer

Triaxial rotor in the SU(3) limit of the interacting boson model

NUCLEAR STRUCTURE 128Ba; calculated levels, J, π, B(E2) of ground-state and γ bands using triaxial rotor in the SU(3) limit of interacting boson model (IBM) mapping schemes. Comparison with experimental results, and with predictions of simple rotor model.

doi: 10.1103/PhysRevC.90.044310
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2014ZH45      Phys.Rev. C 90, 064318 (2014)

Y.Zhang, F.Pan, Y.-X.Liu, Y.-A.Luo, J.P.Draayer

Emergent dynamical symmetry at the triple point of nuclear deformations

NUCLEAR STRUCTURE 64Zn, 108Pd, 114Cd, 134Ba; calculated levels, J, π, B(E2) ratios, E(first 4+)/E(first 2+), E(second 2+)/E(first 4+), E(excited 0+)/E(first 2+). Boson realization of 5-dimensional Euclidean dynamical symmetry in the IBM framework. Comparison with experimental data.

doi: 10.1103/PhysRevC.90.064318
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2013GU31      Phys.Rev. C 88, 044325 (2013)

X.Guan, K.D.Launey, J.Gu, F.Pan, J.P.Draayer

Level statistical properties of the spherical mean-field plus standard pairing model

NUCLEAR STRUCTURE 48,49,50,51,52,53Ca; calculated level spacing distribution, spectral rigidity, statistical energy spectra. 42,43,44,45,46,47,48,49,50,51,52Ca; calculated pairing gap and compared with experimental data. Spherical mean-field plus standard pairing model calculations, with pairing strength deduced from experimental data. Comparison with Gaussian orthogonal ensemble (GOE) predictions, and Poisson distribution.

doi: 10.1103/PhysRevC.88.044325
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2013JI03      Phys.Rev. C 87, 034313 (2013)

H.Jiang, F.Pan, Y.M.Zhao, A.Arima

Number of spin-I states for three identical particles in a single-j shell

doi: 10.1103/PhysRevC.87.034313
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2013PA24      Phys.Rev. C 88, 034305 (2013)

F.Pan, B.Li, Y.-Z.Zhang, J.P.Draayer

Heine-Stieltjes correspondence and a new angular momentum projection for many-particle systems

doi: 10.1103/PhysRevC.88.034305
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2013ZH28      Phys.Rev. C 88, 014304 (2013)

Y.Zhang, F.Pan, Y.-X.Liu, Y.-A.Luo, J.P.Draayer

Shape phase transition and phase coexistence in odd Sm nuclei

NUCLEAR STRUCTURE 146,147,148,149,150,151,152,153,154,155,156,157Sm; calculated energies of ground-state band members using several collective rotor and vibrator models; deduced shape phase transition in odd-A Sm nuclei from experimental S(2n) values and experimental energies of ground-band members in even and odd-A Sm nuclei. 150,152Sm; analyzed ground-state and β band members. 151,153Sm; analyzed four collective bands in each nucleus; deduced phase coexistence of rotational and vibrational excitations in 151Sm.

doi: 10.1103/PhysRevC.88.014304
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2013ZH52      Phys.Rev. C 88, 064305 (2013)

Y.Zhang, L.Bao, X.Guan, F.Pan, J.P.Draayer

Ground-state phase transition in odd-A and odd-odd nuclei near N=90

NUCLEAR STRUCTURE Z=54-75, N=80-100; analyzed systematics of S(2n), odd-even mass differences, Q(α), Q(2β), neutron pairing strength, ground-state phase transitions. Comparison with experimental data.

doi: 10.1103/PhysRevC.88.064305
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2012DA10      Phys.Rev. C 86, 034316 (2012)

L.R.Dai, F.Pan, L.Liu, L.X.Wang, J.P.Draayer

Alternative characterization of the spherical to axially deformed shape-phase transition in the interacting boson model

NUCLEAR STRUCTURE 152Sm; calculated levels, J, π, B(E2) using the interacting boson model and X(5) model. Spherical to axially deformed shape-phase transition. Comparison with experimental data.

doi: 10.1103/PhysRevC.86.034316
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2012GU16      Phys.Rev. C 86, 024313 (2012)

X.Guan, K.D.Launey, M.-x.Xie, L.Bao, F.Pan, J.P.Draayer

Heine-Stieltjes correspondence and the polynomial approach to the standard pairing problem

NUCLEAR STRUCTURE 42,43,44,45,46,47,48,49Ca, 58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77Ni, 146,147,148,149,150,151,152,153Sm; calculated pairing gaps. 110Sn; calculated relevant polynomials and the corresponding eigen-energies. Solution of the Bethe ansatz (Gaudin-Richardson) equations based on Heine-Stieltjes polynomials. Comparison with BCS (pairing) calculations and experimental data.

doi: 10.1103/PhysRevC.86.024313
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2012ZH23      Phys.Rev. C 85, 064312 (2012)

Y.Zhang, F.Pan, Y.-X.Liu, Y.-A.Luo, J.P.Draayer

Analytically solvable prolate-oblate shape phase transitional description within the SU(3) limit of the interacting boson model

NUCLEAR STRUCTURE 180Hf, 182,184,186W, 188,190Os, 192,194,196,198Pt; calculated prolate and oblate levels, J of low-lying positive-parity states, quadrupole moment, quadrupole deformation parameter β2, contour diagrams of the ground state energies. Prolate-oblate shape phase transitional description for the SU(3) limit of the interacting boson model. Comparison with experimental data.

doi: 10.1103/PhysRevC.85.064312
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2012ZH42      Phys.Rev. C 86, 044312 (2012)

Y.Zhang, F.Pan, Y.-A.Luo, Y.-X.Liu, J.P.Draayer

Critical-point symmetries in intermediately deformed odd-A nuclei

NUCLEAR STRUCTURE 150Sm, 151Eu, 172Os, 173Ir; calculated levels, J, π, B(E2) for ground-state bands using DX(3) critical point symmetries (CPS) and the particle-plus-rotor model (PRM).

doi: 10.1103/PhysRevC.86.044312
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2011DA06      Chin.Phys.Lett. 28, 052101 (2011)

L.-R.Dai, W.-X.Teng, F.Pan, S.-H.Wang

An Alternative Interacting Boson Model Description of The N = 90 Nuclei

NUCLEAR STRUCTURE 150Nd, 152Sm, 154Gd; calculated energy levels, J, π, B(E2) ratios; IBM description of nuclei at the X(5) critical point, SO(6) cubic interaction.

doi: 10.1088/0256-307X/28/5/052101
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2011GU18      Chin.Phys.C 35, 747 (2011)

X.Guan, H.Li, Q.Tan, F.Pan, J.P.Draayer

Nilsson mean-field plus the extended pairing model description of rare earth nuclei

NUCLEAR STRUCTURE 166,167,168,169,170,171,172,173Hf, 154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169Er, 160,161,162,163,164,165,166,167,168,169,170,171Yb; calculated binding energies, J, π, mass differences. Nilsson mean-field plus, comparison with experimental data.

doi: 10.1088/1674-1137/35/8/009
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2011WA33      Int.J.Mod.Phys. E20, 2229 (2011)

Y.Wang, L.Li, Y.A.Luo, Y.Zhang, F.Pan, J.P.Draayer

γ-unstable spectrum in the SD-pair shell model for identical nucleon system

doi: 10.1142/S0218301311020290
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2011ZH31      Phys.Rev. C 84, 034306 (2011)

Y.Zhang, F.Pan, Y.Liu, Y.Luo, J.P.Draayer

Simple description of odd-A nuclei around the critical point of the spherical to axially deformed shape phase transition

NUCLEAR STRUCTURE 187Au, 155Tb, 105Tc, 153Eu, 151Pm; calculated levels, J, π, B(E2). X(3/2), X(3/4), X(3/6) symmetries. X(3/2j+1) model, and X(3) critical point transition from spherical to axially-deformed shapes. Comparison with experimental data.

doi: 10.1103/PhysRevC.84.034306
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2011ZH46      Phys.Rev. C 84, 054319 (2011)

Y.Zhang, F.Pan, Y.-X.Liu, J.P.Draayer

Critical point symmetries in deformed odd-A nuclei

NUCLEAR STRUCTURE 193Ir; calculated levels, J, π, ground and β bands, B(E2) ratios. Critical point symmetries (CPS) in the strong-coupling limit, SX(3) symmetry. Comparison with experimental data.

doi: 10.1103/PhysRevC.84.054319
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2010SH12      Phys.Rev. C 82, 014306 (2010), Erratum Phys.Rev. C 91, 029902 (2015)

S.Shen, G.Han, S.Wen, F.Pan, J.Zhu, J.Gu, J.P.Draayer, X.Wu, L.Zhu, C.He, G.Li, B.Yu, T.Wen, Y.Yan

High-spin states and level structure in 84Rb

NUCLEAR REACTIONS 70Zn(18O, 3np), E=75 MeV; measured Eγ, Iγ, γγ-coin, DCO. 84Rb; deduced levels, J, π, multipolarities, bands, configurations, kinematic moments of inertia. Total Routhian surface calculations. Comparison with projected shell-model calculations, and with structures of 80,82Rb.

doi: 10.1103/PhysRevC.82.014306
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2010SH17      Nucl.Phys. A834, 90c (2010)

S.-F.Shen, F.Pan, J.-Z.Gu, L.-H.Zhu, X.-G.Wu, J.P.Draayer, T.-D.Wen

Low-spin states and level structure of odd-even rubidium isotope: 83Rb

RADIOACTIVITY 83Sr(β+); measured Eγ, Iγ, γγ-coin. 83Rb; deduced levels, J, π, yrast states. Comparison with projected shell model.

doi: 10.1016/j.nuclphysa.2010.01.027
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2010ZH42      Phys.Rev. C 82, 034327 (2010)

Y.Zhang, F.Pan, Y.-X.Liu, Z.-F.Hou, J.P.Draayer

Analytical description of odd-A nuclei near the critical point of the spherical to axially deformed shape transition

NUCLEAR STRUCTURE 155Tb, 189Au; calculated levels, J, π, and E2 transition rates using a coupling scheme involving using X(5/(2j+1)) model. Comparison with experimental data.

doi: 10.1103/PhysRevC.82.034327
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2009LU14      Phys.Rev. C 80, 014311 (2009)

Y.Luo, Y.Zhang, X.Meng, F.Pan, J.P.Draayer

Quantum phase transitional patterns in the SD-pair shell model

doi: 10.1103/PhysRevC.80.014311
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2009PA02      J.Phys.(London) G36, 025103 (2009)

F.Pan, J.P.Draayer

Exact boson mapping of the nuclear pairing Hamiltonian

doi: 10.1088/0954-3899/36/2/025103
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2009PA38      Phys.Rev. C 80, 044306 (2009)

F.Pan, M.-X.Xie, X.Guan, L.-R.Dai, J.P.Draayer

New exact solutions of the standard pairing model for well-deformed nuclei

doi: 10.1103/PhysRevC.80.044306
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2008LU18      Int.J.Mod.Phys. E17, Supplement 1, 245 (2008)

Y.-A.Luo, F.Pan, J.P.Draayer, P.-Z.Ning

SD-pair shell model for even-even systems

NUCLEAR STRUCTURE 126,128,130,132,134Xe; calculated low-lying level energies, J, π.

doi: 10.1142/S0218301308011896
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2008ME04      Phys.Rev. C 77, 047304 (2008)

X.Meng, F.Wang, Y.Luo, F.Pan, J.P.Draayer

SD-pair shell model study for 126Xe and 128Ba

NUCLEAR STRUCTURE 126Xe, 128Ba; calculated levels, J, π, B(M1), B(E2). SD-pair shell model. Comparison with experimental data.

doi: 10.1103/PhysRevC.77.047304
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2008PA32      J.Phys.(London) G35, 125105 (2008)

F.Pan, T.Wang, Y.-S.Huo, J.P.Draayer

Quantum phase transitions in the consistent-Q Hamiltonian of the interacting boson model

doi: 10.1088/0954-3899/35/12/125105
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2008PA43      Int.J.Mod.Phys. E17, Supplement 1, 386 (2008)

F.Pan, M.-X.Xie, H.Chen, W.Ba, Q.Yuan, J.P.Draayer

Mean-field plus various types of pairing interactions and an exact boson mapping of the reduced BCS pairing interaction

doi: 10.1142/S0218301308012002
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2008WA12      Chin.Phys.Lett. 25, 2432 (2008)

F.-R.Wang, L.Liu, Y.-A.Luo, F.Pan, J.P.Draayer

U(5)- O(6) Phase Transition in the SD-Pair Shell Model

doi: 10.1088/0256-307X/25/7/028
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2006LU07      Phys.Rev. C 73, 044323 (2006)

Y.Luo, F.Pan, T.Wang, P.Ning, J.P.Draayer

Vibration-rotation transitional patterns in the SD-pair shell model

doi: 10.1103/PhysRevC.73.044323
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2006LU18      Int.J.Mod.Phys. E15, 1751 (2006)

Y.A.Luo, F.Pan, J.P.Draayer, P.Z.Ning

Projected SD-pair shell model

NUCLEAR STRUCTURE 132Ba; calculated levels, J, π. Projected SD-pair shell model, comparison with data.

doi: 10.1142/S0218301306005356
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2006PA29      Eur.Phys.J. A 28, 313 (2006)

F.Pan, Y.Zhang, J.P.Draayer

Transitional description of mass spectra and radiative decay widths for q(q-bar)mesons in the U(4) model

doi: 10.1140/epja/i2006-10062-4
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2006PA39      Int.J.Mod.Phys. E15, 1723 (2006)

F.Pan, T.Wang, Y.-S.Huo, J.P.Draayer

Quantum phase transitional behavior in the extended Casten triangle of the interacting boson model

NUCLEAR STRUCTURE 174,176,178,180,182,184,186,188,190,192,194,196,198,200Pt; analyzed level energies, B(E2), phase transition features.

doi: 10.1142/S0218301306005265
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2005DR10      Eur.Phys.J. A 25, Supplement 1, 511 (2005)

J.P.Draayer, F.Pan, V.G.Gueorguiev

Extended pairing model revisited

doi: 10.1140/epjad/i2005-06-174-1
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2005GU38      Eur.Phys.J. A 25, Supplement 1, 515 (2005)

V.G.Gueorguiev, F.Pan, J.P.Draayer

Application of the extended pairing model to heavy isotopes

NUCLEAR STRUCTURE 181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202Pb; calculated relative binding energies. Extended pairing model, comparison with data, other isotopic chains discussed.

doi: 10.1140/epjad/i2005-06-108-y
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2005LU05      Phys.Rev. C 71, 044304 (2005)

Y.-A.Luo, F.Pan, C.Bahri, J.P.Draayer

SD-pair shell model and the interacting boson model

doi: 10.1103/PhysRevC.71.044304
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2005LU09      Chin.Phys.Lett. 22, 1366 (2005)

Y.-A.Luo, F.Pan, P.-Z.Ning, J.P.Draayer

SD-Pair Shell Model for Identical Nuclear Systems

doi: 10.1088/0256-307X/22/6/019
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2005LU25      Int.J.Mod.Phys. E14, 1023 (2005)

Y.A.Luo, C.Bahri, F.Pan, V.G.Gueorguiev, J.P.Draayer

Intruder level and deformation in the SD-pair shell model

doi: 10.1142/S0218301305003764
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2005LU26      Int.J.Mod.Phys. E14, 1205 (2005)

Y.-A.Luo, F.Pan, P.-Z.Ning, J.P.Draayer

Intruder levels and vibrational modes in the SD-pair shell model

doi: 10.1142/S0218301305003806
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2005PA21      Int.J.Mod.Phys. E14, 75 (2005)

F.Pan, V.G.Gueorguiev, J.P.Draayer

Solvable mean-field plus extended pairing model

NUCLEAR STRUCTURE 154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181Yb; calculated binding energies. Mean-field plus extended pairing model.

doi: 10.1142/S0218301305002795
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2005ZH23      Phys.Rev.Lett. 95, 051101 (2005)

X.-R.Zhou, H.-J.Schulze, F.Pan, J.P.Draayer

Strong Hyperon-Nucleon Pairing in Neutron Stars

doi: 10.1103/PhysRevLett.95.051101
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2004PA09      Phys.Rev.Lett. 92, 112503 (2004)

F.Pan, V.G.Gueorguiev, J.P.Draayer

Algebraic Solutions of an Extended Pairing Model for Well Deformed Nuclei

NUCLEAR STRUCTURE 154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171Yb; calculated even-odd mass differences, role of many-body interactions. Extended pairing model.

doi: 10.1103/PhysRevLett.92.112503
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2004ZH36      Phys.Rev. C 70, 048802 (2004)

X.-R.Zhou, H.-J.Schulze, E.-G.Zhao, F.Pan, J.P.Draayer

Pairing gaps in neutron stars

doi: 10.1103/PhysRevC.70.048802
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2003PA23      Phys.Rev. C 68, 014308 (2003)

F.Pan, L.-R.Dai, Y.-A.Luo, J.P.Draayer

Reconsideration of enhancement of sd dominance in interacting boson models

doi: 10.1103/PhysRevC.68.014308
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2003PA48      Phys.Lett. B 576, 297 (2003)

F.Pan, J.P.Draayer, Y.Luo

A close look at U(5) <-> SU(3) transitional patterns in the interacting boson model

doi: 10.1016/j.physletb.2003.09.098
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2002PA45      Phys.Rev. C66, 044314 (2002)

F.Pan, J.P.Draayer

Algebraic solutions of mean-field plus T = 1 pairing interaction

doi: 10.1103/PhysRevC.66.044314
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2001LU12      Phys.Rev. C64, 047302 (2001)

Y.-A.Luo, X.-B.Zhang, F.Pan, P.-Z.Ning, J.P.Draayer

Magnetic Excitations in the Nucleon-Pair Shell Model

NUCLEAR STRUCTURE 134Ba; calculated transitions B(M1).

doi: 10.1103/PhysRevC.64.047302
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1999PA09      Ann.Phys.(New York) 271, 120 (1999)

F.Pan, J.P.Draayer

Exact Solutions of Some Nuclear Many-Body Problems

doi: 10.1006/aphy.1998.5872
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1999PA16      Phys.Lett. 451B, 1 (1999)

F.Pan, J.P.Draayer

Analytical Solutions for the LMG Model

doi: 10.1016/S0370-2693(99)00191-4
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1998PA08      Phys.Lett. 422B, 1 (1998)

F.Pan, J.P.Draayer, W.E.Ormand

A Particle-Number-Conserving Solution to the Generalized Pairing Problem

doi: 10.1016/S0370-2693(98)00034-3
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1998PA18      Nucl.Phys. A636, 156 (1998)

F.Pan, J.P.Draayer

New Algebraic Solutions for SO(6) ← → U(5) Transitional Nuclei in the Interacting Boson Model

NUCLEAR STRUCTURE 100,102,104,106,108Ru, 102,104,106,108,110,112Pd; calculated levels, J, π, configurations, B(E2). Interacting boson model.

doi: 10.1016/S0375-9474(98)00207-3
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1998PA39      Phys.Lett. 442B, 7 (1998)

F.Pan, J.P.Draayer

New Algebraic Approach for an Exact Solution of the Nuclear Mean-Field plus Orbit-Dependent Pairing Hamiltonian

NUCLEAR STRUCTURE 58,59,60,61,62,63,64,65,66,67Ni; calculated levels, J, π, spectroscopic factors. Orbit-dependent pairing, exact solution. Comparison with data, other models.

doi: 10.1016/S0370-2693(98)01259-3
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1994PA28      Phys.Rev. C50, 1876 (1994)


q Deformations in the Interacting Boson Model for Nuclei

NUCLEAR STRUCTURE 110,112,114Cd, 124,126,128Xe, 190,192,194,196Pt; calculated levels, E2 transition rates, B(λ). Interacting boson model, q deformations.

doi: 10.1103/PhysRevC.50.1876
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1988PA08      Chin.J.Nucl.Phys. 10, 178 (1988)

Pan Feng, Pan Zhenyong, Cao Yufang

U (6/10) Supersymmetry in Zn Isotopes

NUCLEAR STRUCTURE 63,64Zn; calculated levels, B(E2), one-nucleon transfer intensities; deduced supersymmetry multiplets.

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