Low-lying states of heavy nuclei within the nucleon pair approximation

Journal Article · Fri May 15 04:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.054315· OSTI ID:21286938

Xu, Z Y; Lei, Y ^[1]; Zhao, Y M ^[1]; Xu, S W; Xie, Y X ^[2]; Arima, A ^[1]

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1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 (China)

In this article we perform systematic calculations on low-lying states of 33 nuclei with A=202-212, using the nucleon pair approximation of the shell model. We use a phenomenological shell-model Hamiltonian that includes single-particle energies, monopole and quadrupole pairing interactions, and quadrupole-quadrupole interactions. The building blocks of our model space include one J=4 valence neutron pair, and one J=4,6,8 valence proton pair, in addition to the usual S and D pairs. We calculate binding energies, excitation energies, electric quadrupole and magnetic dipole moments of low-lying states, and E2 transition rates between low-lying states. Our calculated results are reasonably consistent with available experimental data. The calculated quadrupole moments and magnetic moments, many of which have not yet been measured for these nuclei, are useful for future experimental measurements.

• OSTI ID: 21286938
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 79; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
ATOMIC NUMBER
BINDING ENERGY
COMPUTERIZED SIMULATION
E2-TRANSITIONS
EXCITATION
HAMILTONIANS
HEAVY NUCLEI
MAGNETIC DIPOLE MOMENTS
MONOPOLES
NEUTRONS
PAIRING INTERACTIONS
PROTONS
QUADRUPOLE MOMENTS
SHELL MODELS