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NSR database version of May 24, 2024.

Search: Author = A.Leviatan

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2023GA24      Phys.Rev. C 108, L031305 (2023)

N.Gavrielov, J.E.Garcia-Ramos, P.Van Isacker, A.Leviatan

Persistent vibrational structure in 110-116Cd

doi: 10.1103/PhysRevC.108.L031305
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2022GA03      Phys.Rev. C 105, 014305 (2022)

N.Gavrielov, A.Leviatan, F.Iachello

Zr isotopes as a region of intertwined quantum phase transitions

NUCLEAR STRUCTURE 92,94,96,98,100,102,104,106,108,110Zr; calculated positive-parity levels up to 12+, bands, B(E2), symmetries for the lowest 0+ and 2+ states, potential energy surface contour plots in the (β, γ) plane, S(2n), isotope shifts, ρ(E0), magnetic moments of the first 2+ states; deduced intertwined quantum phase transitions (IQPTs) for weakly deformed to prolate deformed and finally to γ-unstable nuclei, associated with the U(5), SU(3) and SO(6) dynamical symmetry limits of the IBM. Calculations based on definite symmetry-based framework, in the interacting boson model with configuration mixing (IBM-CM). Comparison with other theoretical calculations, and with experimental data.

doi: 10.1103/PhysRevC.105.014305
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2022GA28      Phys.Rev. C 106, L051304 (2022)

N.Gavrielov, A.Leviatan, F.Iachello

Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei

NUCLEAR STRUCTURE 93,95,97,99,101,103,105Nb; calculated levels, J, π, B(E2), B(M1), percentage of the intruder component in the ground and first excited positive parity states, quadrupole moments, magnetic moments. 92Zr; calculated levels, J, π, B(E2), B(M1). Interacting boson-fermion model with configuration mixing. Comparison to experimental data.

doi: 10.1103/PhysRevC.106.L051304
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2021NO10      Phys.Rev. C 104, 044317 (2021)

K.Nomura, N.Gavrielov, A.Leviatan

Partial dynamical symmetry from energy density functionals

NUCLEAR STRUCTURE 168Er; calculated levels, J, π, ground, γ and β bands using SU(3)-PDS, Skyrme SLy4 and DD-ME2 energy density functionals (EDFs), self-consistent mean-field (SCMF) energy surfaces in (β-γ) plane nonrelativistic Skyrme SLy4 and SkP (EDFs), and relativistic DD-PC1 and DD-ME2 EDFs with different values of pairing strengths, SU(3) decomposition of states in the ground, γ, and β bands for the SU(3)-PDS, SLy4, SkP, DD-PC1 and DD-ME2 EDFs in the framework of universal energy density functionals and a general quantal boson Hamiltonian. Comparison with experimental data.

doi: 10.1103/PhysRevC.104.044317
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2020GA01      Phys.Scr. 95, 24001 (2020)

N.Gavrielov, A.Leviatan, F.Iachello

Interplay between shape-phase transitions and shape coexistence in the Zr isotopes

NUCLEAR STRUCTURE 90,92,94,96,98,100,102,104,106,108,110Zr; calculated energy levels, J, π, B(E2).

doi: 10.1088/1402-4896/ab456b
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2020KA63      Phys.Rev. C 102, 064314 (2020)

V.Karayonchev, J.Jolie, A.Blazhev, A.Dewald, A.Esmaylzadeh, C.Fransen, G.Hafner, L.Knafla, J.Litzinger, C.Muller-Gatermann, J.-M.Regis, K.Schomacker, A.Vogt, N.Warr, A.Leviatan, N.Gavrielov

Tests of collectivity in 98Zr by absolute transition rates

NUCLEAR REACTIONS 96Zr(18O, 16O)98Zr, E=50 MeV; measured recoiling light fragments using an array of six solar cells, Eγ, Iγ, (particle)γ-coin, level half-lives by Doppler-shift recoil-distance (RDDS) method and analysis by differential decay curve method (DDCM) using an array of 11 HPGe detectors and Cologne Plunger device at the Cologne 10 MV FN Tandem accelerator. 98Zr; deduced levels, J, π, B(E2). Comparison with Monte Carlo shell model (MCSM), and interacting boson model with configuration mixing (IBM-CM) calculations, and with previous experimental data. Systematics of energies and B(E2) values of the first 2+ states in 90,92,94,96,98,100Sr, 92,94,96,98,100,102,104,106Zr.

doi: 10.1103/PhysRevC.102.064314
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2020LE15      Eur.Phys.J. Special Topics 229, 2405 (2020)


SU(3) partial dynamical symmetry and nuclear shapes

NUCLEAR STRUCTURE 168Er, 156Gd; calculated energy levels, J, π, B(E2). Comparison with available data.

doi: 10.1140/epjst/e2020-000204-8
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2019GA21      Phys.Rev. C 99, 064324 (2019)

N.Gavrielov, A.Leviatan, F.Iachello

Intertwined quantum phase transitions in the Zr isotopes

NUCLEAR STRUCTURE 90,92,94,96,98,100,102,104,106,108,110Zr; calculated levels, J, π, B(E2), differences in rms charge radii, S(2n), and contour plots in (β, γ) plane of the lowest eigenpotential surface. Interacting boson model with configuration mixing. Comparison with experimental values. Discussed intertwined quantum phase transitions.

doi: 10.1103/PhysRevC.99.064324
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2019LE23      Acta Phys.Pol. B50, 561 (2019)

A.Leviatan, N.Gavrielov

Partial Dynamical Symmetry and the Phonon Structure of Cadmium Isotopes

NUCLEAR STRUCTURE 110Cd; calculated levels, J, π, B(E2) using U(5) partial dynamical symmetries U(5)-DS and U(5)-PDS-CM in the interactive boson models. Comparison with experimental values.

doi: 10.5506/aphyspolb.50.561
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2019MA41      Phys.Rev. C 99, 064323 (2019)

M.Macek, P.Stransky, A.Leviatan, P.Cejnar

Excited-state quantum phase transitions in systems with two degrees of freedom. III. Interacting boson systems

doi: 10.1103/PhysRevC.99.064323
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2018LE12      Phys.Rev. C 98, 031302 (2018)

A.Leviatan, N.Gavrielov, J.E.Garcia-Ramos, P.Van Isacker

Quadrupole phonons in the cadmium isotopes

NUCLEAR STRUCTURE 110Cd; calculated levels, J, π, B(E2) using U(5) partial dynamical symmetries U(5)-DS and U(5)-PDS-CM in the collective and interactive boson models. Comparison with experimental values.

doi: 10.1103/PhysRevC.98.031302
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2017LE12      Phys.Scr. 92, 114005 (2017)

A.Leviatan, N.Gavrielov

Partial dynamical symmetries and shape coexistence in nuclei

NUCLEAR STRUCTURE 96Zr, 78Ni, 186Pb; calculated parameters; deduced spherical-prolate and spherical-prolate-oblate shape coexistence.

doi: 10.1088/1402-4896/aa8697
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2016LE09      Phys.Rev. C 93, 051302 (2016)

A.Leviatan, D.Shapira

Algebraic benchmark for prolate-oblate coexistence in nuclei

doi: 10.1103/PhysRevC.93.051302
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2015VA11      Phys.Rev. C 92, 011301 (2015)

P.Van Isacker, J.Jolie, T.Thomas, A.Leviatan

Partial dynamical symmetry in Bose-Fermi systems

NUCLEAR STRUCTURE 195Pt; calculated levels, J, π, B(E2) by generalization of partial dynamical symmetry (PDS) concept to a system of interacting bosons and fermions. Comparison with experimental data.

doi: 10.1103/PhysRevC.92.011301
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2014KR06      Phys.Rev. C 89, 041302 (2014); Erratum Phys.Rev. C 92, 039902 (2015)

C.Kremer, J.Beller, A.Leviatan, N.Pietralla, G.Rainovski, R.Trippel, P.Van Isacker

Linking partial and quasi dynamical symmetries in rotational nuclei

NUCLEAR STRUCTURE 156,158,160,162Gd, 160,162,164Dy, 164,166Er; calculated ground-state fluctuations for the extended consistent-Q formalism (ECQF) Hamiltonian in even-even rare earth nuclei; deduced empirical formalism for linkage between O(6) partial dynamical symmetry (PDS) and SU(3) quasi-dynamical symmetry (QDS) in rotational nuclei; identified nuclei satisfying both symmetries. 160Gd; calculated levels, J, π, bands with the IBM approach using the ECQF Hamiltonian, and compared with experimental spectrum. Quantum number fluctuations and the intrinsic state formalism are used within the framework of interacting boson model.

doi: 10.1103/PhysRevC.89.041302
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2013LE04      Phys.Rev. C 87, 021302 (2013)

A.Leviatan, J.E.Garcia-Ramos, P.Van Isacker

Partial dynamical symmetry as a selection criterion for many-body interactions

NUCLEAR STRUCTURE 156Gd; calculated levels, J, π, bands, B(E2), odd-even staggering. IBM Hamiltonians with SU(3) partial dynamical symmetry (PDS). Triaxial features. Comparison with experimental data.

doi: 10.1103/PhysRevC.87.021302
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2011MA50      Phys.Rev. C 84, 041302 (2011)

M.Macek, A.Leviatan

Regularity and chaos at critical points of first-order quantum phase transitions

doi: 10.1103/PhysRevC.84.041302
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2009LE21      Phys.Rev.Lett. 103, 042502 (2009)


Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially Deformed Scalar and Vector Potentials

doi: 10.1103/PhysRevLett.103.042502
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2007LE30      Nucl.Phys. A788, 100c (2007)


Quantum Shape-Phase Transitions in Finite Nuclei

doi: 10.1016/j.nuclphysa.2007.01.054
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2006LE37      Phys.Rev. C 74, 051301 (2006); Erratum Phys.Rev. C 74, 059905 (2006)


First-order quantum phase transition in a finite system

doi: 10.1103/PhysRevC.74.051301
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2005LE11      Int.J.Mod.Phys. E14, 111 (2005)


Pseudospin, spin, and Coulomb Dirac-symmetries: Doublet structure and supersymmetric patterns

doi: 10.1142/S0218301305002837
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2005LE33      Phys.Rev. C 72, 031305 (2005)


X(5) critical-point structure in a finite system

doi: 10.1103/PhysRevC.72.031305
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2004GI01      Phys.Rev. C 69, 034303 (2004)

J.N.Ginocchio, A.Leviatan, J.Meng, S.-G.Zhou

Test of pseudospin symmetry in deformed nuclei

NUCLEAR STRUCTURE 168Er; calculated single-particle energies, wave functions, role of pseudospin symmetry.

doi: 10.1103/PhysRevC.69.034303
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2004LE15      Phys.Rev.Lett. 92, 202501 (2004), Erratum Phys.Rev.Lett. 92, 219902 (2004)


Supersymmetric Patterns in the Pseudospin, Spin, and Coulomb Limits of the Dirac Equation with Scalar and Vector Potentials

doi: 10.1103/PhysRevLett.92.202501
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2003LE10      Phys.Rev.Lett. 90, 212501 (2003)

A.Leviatan, J.N.Ginocchio

Critical-Point Symmetry in a Finite System

doi: 10.1103/PhysRevLett.90.212501
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2002ES06      Phys.Rev. C65, 054309 (2002)

J.Escher, A.Leviatan

Partial Dynamical Symmetry in the Symplectic Shell Model

NUCLEAR STRUCTURE 12C, 20Ne, 24Mg; calculated levels, configurations, transitions B(E2). Partial dynamical symmetry.

doi: 10.1103/PhysRevC.65.054309
Citations: PlumX Metrics

2002LE33      Phys.Rev.Lett. 89, 222501 (2002)

A.Leviatan, P.Van Isacker

Generalized Partial Dynamical Symmetry in Nuclei

NUCLEAR STRUCTURE 152Dy; calculated levels, wave functions, transitions B(E2). Generalized partial dynamical symmetry, comparison with data.

doi: 10.1103/PhysRevLett.89.222501
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2002SM01      Phys.Rev. C65, 024319 (2002)

N.A.Smirnova, N.Pietralla, A.Leviatan, J.N.Ginocchio, C.Fransen

Extended M1 Sum Rule for Excited Symmetric and Mixed-Symmetry States in Nuclei

NUCLEAR STRUCTURE 94Mo; analyzed mixed-symmetry states B(M1) transition rates; deduced quadrupole d-boson ratio. Interacting boson model, generalized sum rule.

doi: 10.1103/PhysRevC.65.024319
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2001GI08      Phys.Rev.Lett. 87, 072502 (2001)

J.N.Ginocchio, A.Leviatan

Test of Nuclear Wave Functions for Pseudospin Symmetry

doi: 10.1103/PhysRevLett.87.072502
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2001LE35      Phys.Lett. 518B, 214 (2001)

A.Leviatan, J.N.Ginocchio

Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei

doi: 10.1016/S0370-2693(01)01039-5
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2000ES01      Phys.Rev.Lett. 84, 1866 (2000)

J.Escher, A.Leviatan

Partial Dynamical Symmetry in a Fermion System

NUCLEAR STRUCTURE 20Ne; calculated levels, B(E2); deduced role of partial dynamical symmetries.

doi: 10.1103/PhysRevLett.84.1866
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2000LE04      Phys.Rev. C61, 024305 (2000)

A.Leviatan, J.N.Ginocchio

F Spin as a Partial Symmetry

NUCLEAR STRUCTURE 148,150Nd, 148,150,154Sm, 154,160Gd, 160,162,164Dy, 166,168,170Er, 172,174Yb; analyzed levels, B(M1); deduced F-spin symmetry. Scissors modes, IBM-2 Hamiltonians.

doi: 10.1103/PhysRevC.61.024305
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1999LE17      J.Phys.(London) G25, 791 (1999)

A.Leviatan, I.Sinai

Partial Dynamical SU(3) Symmetry in Deformed Nuclei

NUCLEAR STRUCTURE 168Er; calculated transitions B(E2). Partial dynamical SU(3) symmetry. Comparison with data.

doi: 10.1088/0954-3899/25/4/038
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1999LE54      Phys.Rev. C60, 061301 (1999)

A.Leviatan, I.Sinai

Partial Dynamical SU(3) Symmetry and the Nature of the Lowest K = 0 Collective Excitation in Deformed Nuclei

NUCLEAR STRUCTURE 168Er; calculated transitions B(E2); deduced two-phonon vibration features. Partial dynamical SU(3) symmetry. Comparisons with data.

doi: 10.1103/PhysRevC.60.061301
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1999TO03      Phys.Rev. C59, 1526 (1999)

E.Tomasi-Gustafsson, M.P.Rekalo, R.Bijker, A.Leviatan, F.Iachello

Sensitivity of Tensor Analyzing Power in the Process d + p → d + X to the Longitudinal Isoscalar Form Factor of the Roper Resonance Electroexcitation

NUCLEAR REACTIONS 1H(polarized d, d'X), E at 3.7-9 GeV/c; calculated tensor analyzing power T20(q); deduced resonance contributions. Algebraic collective model.

doi: 10.1103/PhysRevC.59.1526
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1998BI03      Nucl.Phys. A631, 727c (1998)

R.Bijker, A.Leviatan

Spectrum Generating Algebra of the Symmetric Top

doi: 10.1016/S0375-9474(98)00100-6
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1998GI08      Phys.Lett. 425B, 1 (1998)

J.N.Ginocchio, A.Leviatan

On the Relativistic Foundations of Pseudospin Symmetry in Nuclei

doi: 10.1016/S0370-2693(98)00188-9
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1997GI05      Phys.Rev.Lett. 79, 813 (1997)

J.N.Ginocchio, A.Leviatan

Magnetic Dipole Sum Rules for Odd-Mass Nuclei

NUCLEAR STRUCTURE 161Dy, 167Er; calculated total B(M1) strength; deduced sum rules physical content, geometric interpretation.

doi: 10.1103/PhysRevLett.79.813
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1996BI14      Phys.Rev. C54, 1935 (1996)

R.Bijker, F.Iachello, A.Leviatan

Electromagnetic Form Factors in a Collective Model of the Nucleon

NUCLEAR STRUCTURE 1H, 1n; analyzed electromagnetic form factors, helicity amplitudes data. Collective baryons model, algebraic approach to hadron structure.

doi: 10.1103/PhysRevC.54.1935
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1996LE17      Phys.Rev.Lett. 77, 818 (1996)


Partial Dynamical Symmetry in Deformed Nuclei

NUCLEAR STRUCTURE 168Er; calculated levels, B(λ). Interacting boson model, partial SU(3) symmetry.

doi: 10.1103/PhysRevLett.77.818
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1994GI11      Phys.Rev.Lett. 73, 1903 (1994)

J.N.Ginocchio, A.Leviatan

Quadrupole Collectivity with Isospin

doi: 10.1103/PhysRevLett.73.1903
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1990LE15      Phys.Lett. 243B, 313 (1990)

A.Leviatan, B.Shao

General Quadrupole Nuclear Shapes. An Algebraic Perspective

NUCLEAR STRUCTURE A=28; calculated energy surface vs deformation parameters. Algebraic interacting boson model.

doi: 10.1016/0370-2693(90)91389-S
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1990LE21      Phys.Rev.Lett. 65, 2853 (1990)

A.Leviatan, J.N.Ginocchio, M.W.Kirson

Proton-Neutron Deformations and F-Spin Symmetry in Nuclei

NUCLEAR STRUCTURE 165Ho; calculated ground state band F-spin mixing; deduced proton, neutron deformations role.

doi: 10.1103/PhysRevLett.65.2853
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1989LE25      Phys.Rev.Lett. 63, 2204 (1989)

A.Leviatan, B.Shao

Deformed Single-Particle Levels in the Boson-Fermion Model

NUCLEAR STRUCTURE 169Tm; calculated deformed single particle levels, band head energies. Boson-fermion model.

doi: 10.1103/PhysRevLett.63.2204
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1985KI14      Phys.Rev.Lett. 55, 2846 (1985); Erratum Phys.Rev.Lett. 56, 788 (1986)

M.W.Kirson, A.Leviatan

Resolution of Any Interacting-Model Hamiltonian into Intrinsic and Collective Parts

NUCLEAR STRUCTURE 148Sm, 168Er; calculated levels. Interacting boson model.

doi: 10.1103/PhysRevLett.55.2846
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1984LE18      Phys.Lett. 143B, 25 (1984)


Non-Spherical Boson Basis for Near-O(6) Nuclei

NUCLEAR STRUCTURE 196Pt; calculated levels. 194,196Pt; analyzed B(E2) data. Nonspherical boson basis, near O(6) symmetry.

doi: 10.1016/0370-2693(84)90797-4
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