dorsal/arxiv
View SchemaOblique-Basis Calculations for $^{44}$Ti
| Authors | V. G. Gueorguiev, J. P. Draayer, W. E. Ormand, C. W. Johnson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0304031 |
| URL | https://arxiv.org/abs/nucl-th/0304031 |
| DOI | 10.1142/9789812703026_0028 |
Abstract
The spectrum and wave functions of $^{44}$Ti are studied in oblique-basis calculations using spherical and SU(3) shell-model states. Although the results for $^{44}$Ti are not as good as those previously reported for $^{24}$Mg, due primarily to the strong spin-orbit interaction that generates significant splitting of the single-particle energies that breaks the SU(3) symmetry, a more careful quantitative analysis shows that the oblique-basis concept is still effective. In particular, a model space that includes a few SU(3) irreducible representations, namely, the leading irrep (12,0) and next to the leading irrep (10,1) including its spin S=0 and 1 states, plus spherical shell-model configurations (SSMC) that have at least two valence nucleons confined to the $f_{7/2}$ orbit -- the SM(2) states, provide results that are compatible with SSMC with at least one valence nucleon confined to the $f_{7/2}$ orbit -- the SM(3) states.
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"abstract": "The spectrum and wave functions of $^{44}$Ti are studied in oblique-basis\ncalculations using spherical and SU(3) shell-model states. Although the results\nfor $^{44}$Ti are not as good as those previously reported for $^{24}$Mg, due\nprimarily to the strong spin-orbit interaction that generates significant\nsplitting of the single-particle energies that breaks the SU(3) symmetry, a\nmore careful quantitative analysis shows that the oblique-basis concept is\nstill effective. In particular, a model space that includes a few SU(3)\nirreducible representations, namely, the leading irrep (12,0) and next to the\nleading irrep (10,1) including its spin S=0 and 1 states, plus spherical\nshell-model configurations (SSMC) that have at least two valence nucleons\nconfined to the $f_{7/2}$ orbit -- the SM(2) states, provide results that are\ncompatible with SSMC with at least one valence nucleon confined to the\n$f_{7/2}$ orbit -- the SM(3) states.",
"arxiv_id": "nucl-th/0304031",
"authors": [
"V. G. Gueorguiev",
"J. P. Draayer",
"W. E. Ormand",
"C. W. Johnson"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/9789812703026_0028",
"title": "Oblique-Basis Calculations for $^{44}$Ti",
"url": "https://arxiv.org/abs/nucl-th/0304031"
},
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