Quadrupole dominance in light Cd and Sn isotopes

Abstract

Shell model calculations with the neutron effective charge as single free parameter describe well the \bet and \bef rates for $N\le 64$ in the Cd and Sn isotopes. The former exhibit weak permanent deformation corroborating the prediction of a pseudo SU3 symmetry, which remains of heuristic value in the latter, though the pairing force erodes the quadrupole dominance. Calculations in $10^7$ and $10^{10}$-dimensional spaces exhibit almost identical patterns: A vindication of the shell model. For $N\ge 64$ quadrupole dominance is accentuated in the Cd isotopes and gives way to seniority dominance for the Sn isotopes.

7 pages 6 figures. Original version v1 accepted in PRC. Author prefers to propose present much enriched version

References in corpus (7)

• Z=50 shell gap near ${}^{100}$Sn from intermediate-energy Coulomb excitations in even-mass ${}^{106--112}$Sn isotopes
• Novel shape evolution in Sn isotopes from magic numbers 50 to 82
• Nilsson-SU3 selfconsistency in heavy N=Z nuclei
• Quadrupole collectivity in neutron-deficient Sn nuclei: \nuc{104}{Sn} and the role of proton excitations
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• Shell model based deformation analysis of light Cadmium isotopes
• Pairing-quadrupole interplay in the neutron-deficient tin nuclei: first lifetime measurements of low-lying states in ${}^{106,108}$Sn

Cited by in corpus (1)

• Pairing-quadrupole interplay in the neutron-deficient tin nuclei: first lifetime measurements of low-lying states in ${}^{106,108}$Sn