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Volume 35 Issue 4
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Article Navigation >  Nuclear Physics Review  > 2018  >  35(4): 493-498

LI Bo, PAN Feng, DING Xiaoxue, J. P. Draayer. Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell[J]. Nuclear Physics Review, 2018, 35(4): 493-498. doi: 10.11804/NuclPhysRev.35.04.493
Citation: LI Bo, PAN Feng, DING Xiaoxue, J. P. Draayer. Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell[J]. Nuclear Physics Review, 2018, 35(4): 493-498. doi: 10.11804/NuclPhysRev.35.04.493
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Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell

doi: 10.11804/NuclPhysRev.35.04.493
  • 1.

    Department of Physics, Anshan Normal University, Anshan 114007, China;

  • 2.

    Department of Physics, Liaoning Normal University, Dalian 116029, China;

  • 3.

    Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA

Funds:  National Natural Science Foundation of China (11675071, 11747318); U. S. National Science Foundation (OIA-1738287 and ACI-1713690); U. S. Department of Energy (DE-SC0005248), Southeastern Universities Research Association; China-U. S. Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) (DE-SC0009971); LSU-LNNU joint research; Research Start-up Fund of Anshan Normal University (2018b03)
  • Received Date: 2018-09-11
  • Publish Date: 2020-05-03
  • The analysis of the quantum phase crossover behavior in the spherical shell model mean-field plus the geometric quadrupole-quadrupole (Q·Q) and standard pairing model within a single-j shell is reported. Several quantities, such as low-lying excitation energies, the overlaps of excited states, ratios of some B(E2) and electric quadrupole moments of some low-lying states as functions of the control parameter of the model in a j=15/2 shell are calculated. The results show that there are noticeable changes in the crossover region of the rotational-like to the pair-excitation phase transition, such as B(E2;41 → 21)/B(E2;21 → 0g) and B(E2;42 → 21)/B(E2;21 → 0g), especially in the half-filling case. Though the low-lying excitation energies generated from the geometric quadrupole-quadrupole interaction not satisfy the pattern of a rotational spectrum when j is small, these energies follow the pattern of a rotational spectrum when j is sufficiently large.
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    [5] IACHELLO F, ARIMA A. The Interacting Boson Model[M]. Cambridge:Cambridge University, 1987.
    [6] CEJNAR P, JOLIE J. Prog Part Nucl Phys, 2009, 62:210.
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    [13] RING P, SCHUCK P. The Nuclear Many-Body Problem[M]. Berlin:Springer Verlag, 1980.
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    [15] ROWE D J, BAHRI C, WIJESUNDERA W. Phys Rev Lett, 1998, 80:4394.
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    [17] LUO Y A, PAN F, WANG T, et al. Phys Rev C, 2006, 73:044323.
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Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell

doi: 10.11804/NuclPhysRev.35.04.493
  • 1. Department of Physics, Anshan Normal University, Anshan 114007, China;
  • 2. Department of Physics, Liaoning Normal University, Dalian 116029, China;
  • 3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA
Funds:  National Natural Science Foundation of China (11675071, 11747318); U. S. National Science Foundation (OIA-1738287 and ACI-1713690); U. S. Department of Energy (DE-SC0005248), Southeastern Universities Research Association; China-U. S. Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) (DE-SC0009971); LSU-LNNU joint research; Research Start-up Fund of Anshan Normal University (2018b03)
  • Received Date: 2018-09-11
  • Publish Date: 2020-05-03

Abstract: The analysis of the quantum phase crossover behavior in the spherical shell model mean-field plus the geometric quadrupole-quadrupole (Q·Q) and standard pairing model within a single-j shell is reported. Several quantities, such as low-lying excitation energies, the overlaps of excited states, ratios of some B(E2) and electric quadrupole moments of some low-lying states as functions of the control parameter of the model in a j=15/2 shell are calculated. The results show that there are noticeable changes in the crossover region of the rotational-like to the pair-excitation phase transition, such as B(E2;41 → 21)/B(E2;21 → 0g) and B(E2;42 → 21)/B(E2;21 → 0g), especially in the half-filling case. Though the low-lying excitation energies generated from the geometric quadrupole-quadrupole interaction not satisfy the pattern of a rotational spectrum when j is small, these energies follow the pattern of a rotational spectrum when j is sufficiently large.

LI Bo, PAN Feng, DING Xiaoxue, J. P. Draayer. Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell[J]. Nuclear Physics Review, 2018, 35(4): 493-498. doi: 10.11804/NuclPhysRev.35.04.493
Citation: LI Bo, PAN Feng, DING Xiaoxue, J. P. Draayer. Quantum Phase Crossover in the Spherical Mean-field plus Q·Q and Pairing Model within a Single-j Shell[J]. Nuclear Physics Review, 2018, 35(4): 493-498. doi: 10.11804/NuclPhysRev.35.04.493
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