NSR Query Results
Output year order : Descending NSR database version of April 11, 2024. Search: Author = M.Hasegawa Found 58 matches. 2011HA03 Phys.Lett. B 696, 197 (2011) M.Hasegawa, Y.Sun, S.Tazaki, K.Kaneko, T.Mizusaki Characteristics of the 2 1/2+ isomer in 93Mo: Toward the possibility of enhanced nuclear isomer decay NUCLEAR STRUCTURE 93Mo, 93Tc, 95Ru; calculated excitation energy, structure of yrast states, B(E4), B(E2), B(M1). Microscopic shell model calculations, comparison with experimental data.
doi: 10.1016/j.physletb.2010.10.065
2011JI10 Phys.Rev. C 84, 044324 (2011) H.Jin, M.Hasegawa, S.Tazaki, K.Kaneko, Y.Sun Large-scale shell-model calculation with core excitations for neutron-rich nuclei beyond 132Sn NUCLEAR STRUCTURE 133,134Sn, 133,134Sb, 134,135Te, 135I; calculated levels, J, π, B(E2), B(M1) values. Large scale shell-model calculations. Comparison with experimental data.
doi: 10.1103/PhysRevC.84.044324
2011KA03 Phys.Rev. C 83, 014320 (2011) K.Kaneko, Y.Sun, T.Mizusaki, M.Hasegawa Shell-model study for neutron-rich sd-shell nuclei NUCLEAR STRUCTURE 35Si, 36,37,38,40,42,43,44,46S, 38,39,40,42,43,44,45,46,47,48Ar, 41,49Ca, 47K; calculated levels, J, π. 40Mg, 34,36,38,40,42,44,46,48,50,52Si, 36,38,40,42,44,46,48,50,52,54S, 38,40,42,44,46,48,50,52,54,56Ar, 40,42,44,46,48,50,52,54,56,58Ca; calculated energies of first 2+ states. Z=20, N=20-40; calculated effective proton single-particle energies. Z=8-20, N=20; calculated effective neutron single-particle energies. 36,38,40,42Si, 36,38,40,42,44S, 38,40,42,44,46Ar; calculated B(E2) values for first 2+ states. 40Mg, 42Si, 44S, 44,46Ar, 48Ca; calculated spectroscopic quadrupole moments of first 2+ states. 35,37,39,41,43P, 37,39,41,43,45Cl, 39,41,43,45,47,49K; calculated 3/2+ to 1/2+ splittings. 41Si, 43S, 45Ar, 47Ca; calculated 7/2- to 3/2- splittings. Spherical shell model in the sd-pf valence space with the extended pairing plus quadrupole-quadrupole forces accompanied by the monopole interaction (EPQQM). Comparison with experimental data for sd-shell nuclei.
doi: 10.1103/PhysRevC.83.014320
2011KA07 Acta Phys.Pol. B42, 439 (2011) K.Kaneko, S.Tazaki, T.Mizusaki, Y.Sun, M.Hasegawa, G.de Angelis Mirror Energy Difference at High Spins in the Mirror Pair 67Se and 67As NUCLEAR STRUCTURE 67Se, 67As; calculated mirror energy difference for high-spin states. Comparison with all available data.
doi: 10.5506/APhysPolB.42.439
2010KA32 Phys.Rev. C 82, 061301 (2010) K.Kaneko, S.Tazaki, T.Mizusaki, Y.Sun, M.Hasegawa, G.de Angelis Isospin symmetry breaking at high spins in the mirror pair 67Se and 67As NUCLEAR STRUCTURE 67Se, 67As; calculated levels, J, π, mirror energy differences (MED), occupation numbers for proton and neutron orbits, spin distribution in each and spectroscopic quadrupole moments at high spins using large-scale shell-model approach. Comparison with experimental data.
doi: 10.1103/PhysRevC.82.061301
2010SU05 Phys.Rev. C 81, 024309 (2010) M.Sugawara, Y.Toh, M.Oshima, M.Koizumi, A.Kimura, A.Osa, Y.Hatsukawa, H.Kusakari, J.Goto, M.Honma, M.Hasegawa, K.Kaneko Medium-spin states in 70Ge and the role of the g9/2 orbital NUCLEAR REACTIONS 60Ni(12C, 2p), E=45 MeV; measured Eγ, Iγ, γγ-coin, and γ(θ). 70Ge; deduced levels, J, π, multipolarity, and bands. Comparison with shell model calculations using G-matrix and EPQQM interactions, and with structures of 66,68Ge.
doi: 10.1103/PhysRevC.81.024309
2010YA17 Phys.Rev. C 82, 031304 (2010) Y.Yang, Y.Sun, K.Kaneko, M.Hasegawa Rotation alignment in neutron-rich Cr isotopes: A probe of deformed single-particle levels across N=40 NUCLEAR STRUCTURE 54,56,58,60,62,64,66,68Cr; calculated moments of inertia of yrast bands, and energies of yrast, 2-qp and 4-qp configurations using projected shell model (PSM). Comparison with experimental data.
doi: 10.1103/PhysRevC.82.031304
2009SU20 Phys.Rev. C 80, 054306 (2009) Y.Sun, Y.-C.Yang, H.-L.Liu, K.Kaneko, M.Hasegawa, T.Mizusaki Projected shell model description for high-spin states in neutron-rich Fe isotopes NUCLEAR STRUCTURE 58,60,62,64,66,68Fe; calculated levels, J, moment of inertia, B(E2), deformation parameters, yrast band structures using projected shell-model calculations. Comparison with experimental data.
doi: 10.1103/PhysRevC.80.054306
2009ZH11 Phys.Rev. C 79, 044316 (2009) Y.H.Zhang, M.Hasegawa, W.T.Guo, M.L.Liu, X.H.Zhou, G.de Angelis, T.M.Axiotis, A.Gadea, N.Marginean, Martinez, D.R.Napoli, C.Rusu, Zs.Podolyak, C.Ur, D.Bazzacco, F.Brandolini, S.Lunardi, S.M.Lenzi, R.Menegazzo, R.Schwengner, A.Gargano, W.von Oertzen, S.Tazaki High-spin level structure in 94, 95Mo NUCLEAR REACTIONS 16O(82Se, 4n), (82Se, 3n), E=460 MeV; measured Eγ, Iγ, γγ-coin, angular distributions. 94,95Mo; deduced levels, J, π, configurations. Comparisons with shell-model calculations. 90Sr, 92Mo; level systematics.
doi: 10.1103/PhysRevC.79.044316
2008KA19 Phys.Rev. C 77, 064304 (2008); Erratum Phys.Rev. C 78, 049903 (2008) K.Kaneko, Y.Sun, M.Hasegawa, T.Mizusaki Structure of upper-g9/2-shell nuclei and shape effect in the 94Ag isomeric states NUCLEAR STRUCTURE 94Ag; calculated levels, J, π, spectroscopic quadrupole moments, expectation values of proton and neutron numbers, B(E2). 90,91,92,93,94Ru, 91,92,93Tc, 90,92,93,94,95Rh, 92,93,94,95,96Pd, 95Ag, 96,98Cd; calculated level energies, J, π. Comparison with experimental data.
doi: 10.1103/PhysRevC.77.064304
2008KA41 Phys.Rev. C 78, 064312 (2008) K.Kaneko, Y.Sun, M.Hasegawa, T.Mizusaki Shell model study of single-particle and collective structure in neutron-rich Cr isotopes NUCLEAR STRUCTURE 52,53,54,55,56,57,58,59,60,62Cr; calculated B(E2), levels, single-particle energies. Spherical shell model. Comparison with experimental data.
doi: 10.1103/PhysRevC.78.064312
2007HA35 Nucl.Phys. A789, 46 (2007) M.Hasegawa, T.Mizusaki, K.Kaneko, Y.Sun Enhancement of B(E2)↑ and low excitation of the second 0+ state near N = 40 in Ge isotopes NUCLEAR STRUCTURE 70,72,74Ge; calculated B(E2) using large scale shell model calculations. Compared results to available data.
doi: 10.1016/j.nuclphysa.2007.02.012
2007HA48 Phys.Lett. B 656, 51 (2007) M.Hasegawa, K.Kaneko, T.Mizusaki, Y.Sun Phase transition in exotic nuclei along the N = Z line NUCLEAR STRUCTURE 64Ge, 66As, 68Se, 70Br, 72,74,76Kr, 74Rb, 76Sr; calculated levels, J, π, B(E2); deduced configurations, shape co-existence. Large-scale shell model calculations and comparison with data.
doi: 10.1016/j.physletb.2007.09.017
2007MI19 Acta Phys.Pol. B38, 1363 (2007) T.Mizusaki, K.Kaneko, M.Hasegawa Shell Model Approach to Proton - Neutron Alignment in N ∼ Z Ge - As Nuclei NUCLEAR STRUCTURE 66Ge, 62,63Ga; calculated level energies, J, π using the nuclear shell model.
2006KA39 Phys.Rev. C 74, 024321 (2006); Erratum Phys.Rev. C 74, 049901 (2006) K.Kaneko, M.Hasegawa, T.Mizusaki, Y.Sun Magicity and occurrence of a band with enhanced B(E2) in neutron-rich nuclei 68Ni and 90Zr NUCLEAR STRUCTURE 64,66,68Ni, 86Kr, 88Sr, 90Zr; calculated levels, J, π, B(E2), configurations; deduced shell closure features.
doi: 10.1103/PhysRevC.74.024321
2006KA40 Phys.Rev. C 74, 024325 (2006) K.Kaneko, M.Hasegawa, U.Agvaanluvsan, E.Algin, R.Chankova, M.Guttormsen, A.C.Larsen, G.E.Mitchell, J.Rekstad, A.Schiller, S.Siem, A.Voinov Breaking of nucleon Cooper pairs at finite temperature in 93-98Mo NUCLEAR STRUCTURE 93,94,95,96,97,98Mo; calculated level densities, heat capacities, pair correlation features.
doi: 10.1103/PhysRevC.74.024325
2005HA06 Nucl.Phys. A748, 393 (2005) Microscopic analysis of T=1 and T=0 proton-neutron correlations in N=Z nuclei NUCLEAR STRUCTURE 20Ne, 22Na, 24Mg, 26Al, 28Si, 30P, 32S; calculated relative binding energies, interaction energies, proton-neutron correlation energies.
doi: 10.1016/j.nuclphysa.2004.11.014
2005HA19 Phys.Rev. C 71, 044301 (2005) M.Hasegawa, K.Kaneko, T.Mizusaki Particle alignments and shape change in 66Ge and 68Ge NUCLEAR STRUCTURE 66,68Ge; calculated levels, J, π, rotational bands, B(E2), B(M1), configurations, deformation. Shell model.
doi: 10.1103/PhysRevC.71.044301
2005HA28 Nucl.Phys. B(Proc.Supp.) S149, 230 (2005) Measurements of neutrino charged current scattering in K2K Fine-Grained Detector
doi: 10.1016/j.nuclphysbs.2005.05.098
2005HA30 Phys.Lett. B 617, 150 (2005) M.Hasegawa, Y.Sun, K.Kaneko, T.Mizusaki Structure of isomeric states in 66As and 67As NUCLEAR STRUCTURE 66,67As; calculated levels, J, π, isomeric states, shape coexistence features. Spherical shell model.
doi: 10.1016/j.physletb.2005.05.027
2005HA33 Prog.Theor.Phys.(Kyoto) 113, 1215 (2005) An Alternative Understanding of Mass Formulas in Terms of Nuclear Structure
doi: 10.1143/PTP.113.1215
2005HA68 Phys.Rev.Lett. 95, 252301 (2005) M.Hasegawa, and the K2K Collaboration Search for Coherent Charged Pion Production in Neutrino-Carbon Interactions NUCLEAR REACTIONS C(ν, X), E ≈ 1.3 GeV; analyzed data; deduced upper limit for coherent charged pion production.
doi: 10.1103/PhysRevLett.95.252301
2005HA70 Phys.Rev. C 72, 064320 (2005) M.Hasegawa, K.Kaneko, T.Mizusaki Unique features of structure in an odd-proton N ≈ Z nucleus 69As NUCLEAR STRUCTURE 69As; calculated levels, J, π, configurations, deformation. Large-scale shell model approach, comparison with data.
doi: 10.1103/PhysRevC.72.064320
2005KA04 Phys.Rev. C 71, 014319 (2005) K.Kaneko, R.F.Casten, M.Hasegawa, T.Mizusaki, J.-y.Zhang, E.A.McCutchan, N.V.Zamfir, R.Krucken Anomalous behavior of the first excited 0+ state in N ≈ Z nuclei NUCLEAR STRUCTURE Ne, Mg, Ti, Cr, Fe; analyzed excited states energies; deduced role of proton-neutron correlations in anomalous behavior.
doi: 10.1103/PhysRevC.71.014319
2005KA28 Phys.Rev. C 72, 024307 (2005) Quenching of pairing gap at finite temperature in 184W NUCLEAR STRUCTURE 183,184,185W; analyzed level densities. 184W deduced pairing gap vs temperature, quenching at critical temperature. Comparison with model predictions.
doi: 10.1103/PhysRevC.72.024307
2005KA37 Phys.Rev. C 72, 031302 (2005) Proton-neutron pairing energies in N = Z nuclei at finite temperature NUCLEAR STRUCTURE 18F, 22Na, 26Al, 30P, 34Cl, 38K, 42Sc, 46V, 50Mn; calculated isoscalar and isovector proton-neutron pair gaps at finite temperature. Shell model.
doi: 10.1103/PhysRevC.72.031302
2005KA53 Phys.Rev. C 72, 061306 (2005) Contour integral method for thermal and quantal fluctuations
doi: 10.1103/PhysRevC.72.061306
2004HA15 Phys.Rev. C 69, 034324 (2004) M.Hasegawa, K.Kaneko, T.Mizusaki, S.Tazaki Different particle alignments in N ≈ Z Ru isotopes studied by the shell model NUCLEAR STRUCTURE 88,89,90,91,92,93,94Ru; calculated levels, J, π, B(E2), rotational bands features. Shell model, pairing-plus-quadrupole-quadrupole interaction. Comparison with data.
doi: 10.1103/PhysRevC.69.034324
2004HA43 Phys.Rev. C 70, 031301 (2004) M.Hasegawa, K.Kaneko, T.Mizusaki Proton-neutron alignment in the yrast states of 66Ge and 68Ge NUCLEAR STRUCTURE 66,68Ge; calculated levels, J, π, rotational bands, particle alignment features. Comparison with data.
doi: 10.1103/PhysRevC.70.031301
2004KA31 Phys.Rev. C 69, 061302 (2004) Competition between isoscalar and isovector pairing correlations in N = Z nuclei NUCLEAR STRUCTURE A=12-108; calculated isoscalar and isovector pairing correlations, energy level differences for N=Z nuclides.
doi: 10.1103/PhysRevC.69.061302
2004KA36 Nucl.Phys. A740, 95 (2004) Pairing transition of nuclei at finite temperature NUCLEAR STRUCTURE 27,28,29Mg; calculated odd-even mass difference vs temperature. 20O, 28Mg, 64Fe, 162Dy, 166Er, 172Yb; calculated neutron pair gap vs temperature, pairing transition features.
doi: 10.1016/j.nuclphysa.2004.05.001
2004KA57 Phys.Rev. C 70, 051301 (2004) K.Kaneko, M.Hasegawa, T.Mizusaki Shape transition and oblate-prolate coexistence in N=Z fpg-shell nuclei NUCLEAR STRUCTURE 60Zn, 64Ge, 68Se, 72Kr; calculated levels, J, π, quadrupole moments, configurations, potential energy surfaces, shape coexistence features. Shell-model and constrained Hartree-Fock model calculations, comparison with data.
doi: 10.1103/PhysRevC.70.051301
2003HA03 Phys.Rev. C 67, 024304 (2003) Effects of resonant single-particle states on pairing correlations
doi: 10.1103/PhysRevC.67.024304
2003KA18 Phys.Rev. C 67, 041306 (2003) α decay and proton-neutron correlations NUCLEAR STRUCTURE Z=84-100; analyzed binding energies, Qα, related features; deduced correlation between proton-neutron pairing and α-decay widths.
doi: 10.1103/PhysRevC.67.041306
2002HA35 Prog.Theor.Phys.(Kyoto) 107, 731 (2002) M.Hasegawa, K.Kaneko, S.Tazaki Applicability of the Extended P + QQ Model in the Upper Part of the f7/2 Shell NUCLEAR STRUCTURE 48Ca, 52Cr, 52,53Mn, 52,53,54Fe, 54Co, 56Ni; calculated levels, J, π. 51,52Mn, 52Cr, 53Fe; calculated μ, quadrupole moments, B(E2), B(M1). Extended pairing-plus-quadrupole model, comparison with data.
doi: 10.1143/PTP.107.731
2002KA60 Phys.Rev. C 66, 051306 (2002) K.Kaneko, M.Hasegawa, T.Mizusaki Quadrupole and octupole softness in the N=Z nucleus 64Ge NUCLEAR STRUCTURE 64Ge; calculated levels, J, π, quadrupole and octupole correlations. Shell model.
doi: 10.1103/PhysRevC.66.051306
2001HA28 Nucl.Phys. A688, 765 (2001) M.Hasegawa, K.Kaneko, S.Tazaki Improvement of the Extended P + QQ Interaction by Modifying the Monopole Field NUCLEAR STRUCTURE 48Ca, 47,50Ti, 47V, 49,51Cr, 50,51Mn; calculated levels, J, quadrupole moments, B(E2). A=42-51; calculated ground-state energies. Extended pairing-plus-quadrupole interaction, comparisons with data.
doi: 10.1016/S0375-9474(00)00602-3
2001KA15 Prog.Theor.Phys.(Kyoto) 105, 219 (2001) Single and Double β Decay in N ≈ Z Nuclei NUCLEAR STRUCTURE 42Sc, 44,45,46,47,48Ti, 46V, 48Cr, 50Mn, 52Fe, 54Co; calculated β-decay integrated Gamow-Teller strengths. 68,70,72,74,76,78,80Ge, 70,72,74,76,78,80,82Se; calculated 2ν-accompanied 2β-decay Gamow-Teller strengths.
doi: 10.1143/PTP.105.219
2001KA63 Prog.Theor.Phys.(Kyoto) 106, 1179 (2001) Global Features of Proton-Neutron Interactions
doi: 10.1143/PTP.106.1179
2000HA13 Phys.Rev. C61, 037306 (2000) Roles of Proton-Neutron Interactions in α-Like Four-Nucleon Correlations
doi: 10.1103/PhysRevC.61.037306
2000HA32 Nucl.Phys. A674, 411 (2000); Erratum Nucl.Phys. A691, 791 (2001) M.Hasegawa, K.Kaneko, S.Tazaki Application of the Extended P + QQ Force Model to N ≈ Z fp Shell Nuclei NUCLEAR STRUCTURE 46Ti, 46,48V, 48,50Cr, 50Mn; calculated levels, J, π, quadrupole moments, transitions B(E2). Extended pairing plus QQ force model, comparisons with data.
doi: 10.1016/S0375-9474(00)00171-8
1999HA07 Phys.Rev. C59, 1449 (1999) Extension of the Pairing Plus Quadrupole Force Model to N ≈ Z Nuclei NUCLEAR STRUCTURE 94Pd, 89Tc; calculated levels, J, π. Z=20-25; calculated valence nucleon energies; deduced neutron-proton interaction role. Extended pairing-plus-quadrupole model.
doi: 10.1103/PhysRevC.59.1449
1999KA02 Phys.Rev. C59, 740 (1999) K.Kaneko, M.Hasegawa, J.-Y.Zhang Isoscalar and Isovector Pair Correlations in an Isospin-Invariant Pairing Plus Quadrupole Model
doi: 10.1103/PhysRevC.59.740
1999KA37 Phys.Rev. C60, 024301 (1999) Proton-Neutron Interactions in N ∼ Z Nuclei NUCLEAR STRUCTURE Nb, Mo, Tc, Pd, Sn, Ti, Cr, Ca, Fe; analyzed binding energies, odd-even mass differences, two-proton separation energies for N ∼ Z nuclei; deduced role of neutron-proton interactions.
doi: 10.1103/PhysRevC.60.024301
1998AN30 Phys.Rev. C58, 3286 (1998) Odd-Even Differences in Moments of Inertia
doi: 10.1103/PhysRevC.58.3286
1998HA23 Nucl.Phys. A633, 266 (1998) Alpha-Like Four-Nucleon Correlations in the Ground State of 48Cr NUCLEAR STRUCTURE 48Cr; calculated ground-state energy. Multiple α-like cluster model, comparison with shell model. Systematics of ground-state properties in neighboring nuclei discussed.
doi: 10.1016/S0375-9474(98)00154-7
1998HA69 Prog.Theor.Phys.(Kyoto), Suppl. 132, 177 (1998) Alpha-Like Four-Nucleon Correlations Viewed in Single-Particle Mean Field
doi: 10.1143/PTPS.132.177
1997HA35 Prog.Theor.Phys.(Kyoto) 97, 417 (1997); Erratum Prog.Theor.Phys.(Kyoto) 98, 1011 (1997) M.Hasegawa, S.Tazaki, R.Okamoto Instability of the HF Ground State in 56Ni Caused by α-Like Four-Nucleon Correlations NUCLEAR STRUCTURE 56Ni; calculated ground-state stability conditions with respect to 4p-4h excitations; deduced instability. Hartree-Fock calculations.
doi: 10.1143/PTP.97.417
1995HA21 Nucl.Phys. A592, 45 (1995) M.Hasegawa, S.Tazaki, R.Okamoto Condensed Structure of J = T = 0 α-Like Clusters in f7/2-Shell Even-Even Nuclei with N = Z NUCLEAR STRUCTURE 44Ti, 48Ca, 52Fe, 56Ni; calculated single particle levels approximate occupation probabilities; deduced α-like correlations related features. Microscopic approach.
doi: 10.1016/0375-9474(95)00296-D
1993HA02 Phys.Rev. C47, 188 (1993) Calculation of the Moment of Inertia by a Proper Treatment of Pairing Correlations NUCLEAR STRUCTURE 160Dy; calculated nucleon gap parameter, levels, moment of inertia. Cranking model.
doi: 10.1103/PhysRevC.47.188
1992HA11 Nucl.Phys. A539, 381 (1992) Algebraic Expression of the IBM3 Hamiltonian in Terms of Various Quantum Numbers (II). Numerical Test NUCLEAR STRUCTURE 44,46Ti, 48Cr; calculated levels. Interacting boson model.
doi: 10.1016/0375-9474(92)90282-O
1991HA05 Prog.Theor.Phys.(Kyoto) 85, 69 (1991) Numerical Test of a Mapping Theory for the IBM3 NUCLEAR STRUCTURE 46Ti; calculated T=1 levels. Other (f7/2)-configurations. Interacting boson model, mapping theory.
doi: 10.1143/ptp/85.1.69
1985HA17 Nucl.Phys. A440, 1 (1985) Application of a Microscopic Interacting Boson Model to Single-Closed-Shell Nuclei NUCLEAR STRUCTURE 90Zr, 92Mo, 94Ru; calculated levels, B(E2). 116,118,120,122,124,115,117,119,121,123,125,127Sn; calculated levels; deduced even-odd mass differences.
doi: 10.1016/0375-9474(85)90040-5
1980HA39 Prog.Theor.Phys.(Kyoto) 63, 1984 (1980) Modification of Quasi-Particle Theory in Spherical Nuclei. II. Numerical Calculations in Nuclei with Z or N = 40 NUCLEAR STRUCTURE 68,69,70,71,72,73,74,75Ge, 87Rb, 89Y, 91Nb, 93Tc, 86Kr, 86Sr, 90Zr, 92Mo, 94Ru; calculated levels. Modified quasiparticle, pairing Hamiltonian.
doi: 10.1143/PTP.63.1984
1978HA47 Prog.Theor.Phys. 60, 309 (1978) Coupling of 4p and 4h Modes in 40Ca NUCLEAR STRUCTURE 40Ca; calculated level spacing of 4p-4h states. RPA description of 4p-modes in 44Ti, 4h-modes in 36Ar. Yukawa interaction.
doi: 10.1143/PTP.60.309
1976HA55 Progr.Theor.Phys. 56, 830 (1976) Mode-Mode Coupling Model for the Four-Body Correlations in Light Nuclei NUCLEAR STRUCTURE 44Ti, 44Ca, 36Ar, 36S; calculated levels, B(λ). Mode-mode coupling model.
doi: 10.1143/PTP.56.830
1975HA51 Progr.Theor.Phys. 53, 1675 (1975) Two-Particle-Two-Hole Jπ = 0+ States of 40Ca NUCLEAR STRUCTURE 40Ca; calculated 2p-2h levels. Tamm-Dancoff method.
doi: 10.1143/PTP.53.1675
1971KU28 Progr.Theor.Phys. 46, 1420 (1971) A.Kuriyama, M.Hasegawa, S.Tazaki, R.Okamoto A Note on Pairing Vibrational Motion
doi: 10.1143/PTP.46.1420
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