dorsal/arxiv
View SchemaSelf-consistency in the Projected Shell Model
| Authors | V. Velazquez, J. G. Hirsch, Y. Sun |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9805041 |
| URL | https://arxiv.org/abs/nucl-th/9805041 |
| DOI | 10.1016/S0375-9474(98)00549-1 |
| Journal | Nucl.Phys. A643 (1998) 39-51 |
Abstract
The Projected Shell Model is a shell model theory built up over a deformed BCS mean field. Ground state and excited bands in even-even nuclei are obtained through diagonalization of a pairing plus quadrupole Hamiltonian in an angular momentum projected 0-, 2-, and 4-quasiparticle basis. The residual quadrupole-quadrupole interaction strength is fixed self-consistently with the deformed mean field and the pairing constants are the same used in constructing the quasiparticle basis. Taking $^{160}Dy$ as an example, we calculate low-lying states and compare them with experimental data. We exhibit the effect of changing the residual interaction strengths on the spectra. It is clearly seen that there are many $J^\pi = 0^+, 1^+, 4^+$ bandheads whose energies can only be reproduced using the self-consistent strengths. It is thus concluded that the Projected Shell Model is a model essentially with no free parameters.
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"abstract": "The Projected Shell Model is a shell model theory built up over a deformed\nBCS mean field. Ground state and excited bands in even-even nuclei are obtained\nthrough diagonalization of a pairing plus quadrupole Hamiltonian in an angular\nmomentum projected 0-, 2-, and 4-quasiparticle basis. The residual\nquadrupole-quadrupole interaction strength is fixed self-consistently with the\ndeformed mean field and the pairing constants are the same used in constructing\nthe quasiparticle basis. Taking $^{160}Dy$ as an example, we calculate\nlow-lying states and compare them with experimental data. We exhibit the effect\nof changing the residual interaction strengths on the spectra. It is clearly\nseen that there are many $J^\\pi = 0^+, 1^+, 4^+$ bandheads whose energies can\nonly be reproduced using the self-consistent strengths. It is thus concluded\nthat the Projected Shell Model is a model essentially with no free parameters.",
"arxiv_id": "nucl-th/9805041",
"authors": [
"V. Velazquez",
"J. G. Hirsch",
"Y. Sun"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(98)00549-1",
"journal_ref": "Nucl.Phys. A643 (1998) 39-51",
"title": "Self-consistency in the Projected Shell Model",
"url": "https://arxiv.org/abs/nucl-th/9805041"
},
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