1998
DOI: 10.1016/s0375-9474(98)00146-8
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Effective interactions and shell model studies of heavy tin isotopes

Abstract: We calculate the low-lying spectra of heavy tin isotopes from A=120 to A=130 using the 2s1d0g_{7/2}0h_{11/2} shell to define the model space. An effective interaction has been derived using 132Sn as closed core employing perturbative many-body techniques. We start from a nucleon-nucleon potential derived from modern meson exchange models. This potential is in turn renormalized for the given medium, 132Sn, yielding the nuclear reaction matrix, which is then used in perturbation theory to obtain the shell model … Show more

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Cited by 62 publications
(58 citation statements)
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“…This is due to the presence of the d 3/2 shell, which is emptied first before the h 11/2 orbital. From the A = 128-130 values one may conclude that the choice of an effective charge of 0.70e, as taken from the literature [57], is probably on the low side and a value of 0.85e would be more appropriate [13,36]. This increase, however, would not cure the discrepancy observed toward mid-shell, which clearly indicates a too fast emptying of the h 11/2 orbital.…”
Section: -11mentioning
confidence: 97%
“…This is due to the presence of the d 3/2 shell, which is emptied first before the h 11/2 orbital. From the A = 128-130 values one may conclude that the choice of an effective charge of 0.70e, as taken from the literature [57], is probably on the low side and a value of 0.85e would be more appropriate [13,36]. This increase, however, would not cure the discrepancy observed toward mid-shell, which clearly indicates a too fast emptying of the h 11/2 orbital.…”
Section: -11mentioning
confidence: 97%
“…[14] the nn Hamiltonian based upon the CD-Bonn G matrix was used to study the the Sn isotones. Our results for 130 Sn were similar to these previous calculations, but differ due to the new energy for the h 11/2 level in 131 Sn [9].…”
Section: Shell-model Hamiltonianmentioning
confidence: 99%
“…Particularly important for this goal are determining the effective nuclear force unambiguously and establishing methodology of many-body problems which treats many-body correlations appropriately and accurately. This also applies to the shell model, one of the most successful nuclear-structure models in light to medium-heavy mass regions [1][2][3][4]. As for the former issue, although microscopic theories of effective interaction have been developed over decades, some empirical corrections are still needed for describing a wide range of nuclei belonging to a given shell.…”
Section: Introductionmentioning
confidence: 99%