Shell-model study of quadrupole collectivity in light tin isotopes

Abstract

A realistic shell-model study is performed for neutron-deficient tin isotopes up to mass A=108. All shell-model ingredients, namely two-body matrix elements, single-particle energies, and effective charges for electric quadrupole transition operators, have been calculated by way of the many-body perturbation theory, starting from a low-momentum interaction derived from the high-precision CD-Bonn free nucleon-nucleon potential. The focus has been put on the enhanced quadrupole collectivity of these nuclei, which is testified by the observed large B(E2;0+ -> 2+)s. Our results evidence the crucial role played by the Z=50 cross-shell excitations that need to be taken into account explicitly to obtain a satisfactory theoretical description of light tin isotopes. We find also that a relevant contribution comes from the calculated neutron effective charges, whose magnitudes exceed the standard empirical values. An original double-step procedure has been introduced to reduce effectively the model space in order to overcome the computational problem.

6 pages, 6 figures, 2 tables

References in corpus (6)

• Shell-model calculations and realistic effective interactions
• Z=50 shell gap near ${}^{100}$Sn from intermediate-energy Coulomb excitations in even-mass ${}^{106--112}$Sn isotopes
• A monopole-optimized effective interaction for tin isotopes
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Study of neutron-rich calcium isotopes with a realistic shell-model interaction
• Graphical Method for Effective Interaction with a New Vertex Function

Cited by in corpus (6)

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• Double-step truncation procedure for large-scale shell-model calculations
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• Shell-model study of titanium isotopic chain with chiral two- and three-body forces
• Neutrinoless Double-Beta Decay and Realistic Shell Model