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 (21)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• 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
• Effective shell-model hamiltonians from realistic nucleon-nucleon potentials within a perturbative approach
• A monopole-optimized effective interaction for tin isotopes
• Quadrupole collectivity in neutron-deficient Sn nuclei: \nuc{104}{Sn} and the role of proton excitations
• Intermediate-energy Coulomb excitation of 104Sn: Moderate E2 strength decrease approaching 100Sn
• Similarity of nuclear structure in 132Sn and 208Pb regions: proton-neutron multiplets
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Shell-model calculations for neutron-rich carbon isotopes with a chiral nucleon-nucleon potential
• Realistic shell-model calculations for isotopic chains "north-east'' of 48Ca in the (N,Z) plane
• Study of neutron-rich calcium isotopes with a realistic shell-model interaction
• Bonn Potential and Shell-Model Calculations for N=126 Isotones
• Graphical Method for Effective Interaction with a New Vertex Function
• Shell-model study of the N=82 isotonic chain with a realistic effective hamiltonian
• Two-Frequency Shell-Model Calculations for p-Shell Nuclei
• Recursion Method for Deriving Energy-Independent Effective Interaction

Cited by in corpus (17)

• Laser Spectroscopy for the Study of Exotic Nuclei
• Novel shape evolution in Sn isotopes from magic numbers 50 to 82
• Renormalization of the GT operator within the realistic shell model
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• The anomalous quadrupole collectivity in Te isotopes
• Double-step truncation procedure for large-scale shell-model calculations
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• Isomeric excitation energy for ${}^{99}$In${}^m$ from mass spectrometry reveals constant trend next to doubly magic ${}^{100}$Sn
• Effects of one valence proton on seniority and angular momentum of neutrons in neutron-rich ${}^{122-131}$Sb${}_{51}$ isotopes
• Shell-model study of titanium isotopic chain with chiral two- and three-body forces
• Analysis of proton and neutron pair breakings: High-spin structures of ${}^{124-127}$Te isotopes
• Different seniority states of ${}^{119-126}$Sn isotopes: shell model description
• Neutrinoless Double-Beta Decay and Realistic Shell Model
• Large scale shell model calculation for collectivity in nuclei beyond 78Ni
• A glimpse into an effective world