New magic number for neutron rich Sn isotopes

Abstract

The variation of E(2+_1) of (134-140)Sn calculated with empirical SMPN interaction has striking similarity with that of experimental E(2+_1) of even-even (18-22)O and (42-48)Ca, showing clearly that N=84-88 spectra exhibit the effect of gradual filling up of ν(2f_{7/2}) orbital which finally culminates in a new shell closure at N=90. Realistic two-body interaction CWG does not show this feature. Spin-tensor decomposition of SMPN and CWG interactions and variation of their components with valence neutron number reveals that the origin of the shell closure at 140Sn lies in the three body effects. Calculations with CWG3, which is obtained by including a simple three-body monopole term in the CWG interaction, predict decreasing E(2+_1) for (134-138)Sn and a shell closure at 140Sn.

4 pages, 5 figures

References in corpus (6)

• Nuclear magic numbers: new features far from stability
• Magnetic moments of the 2${}_1^{+}$ states around ${}^{132}$Sn
• Shell Structure of Exotic Nuclei
• Effective interactions and shell model studies of heavy tin isotopes
• Shell-model Structure of Exotic 135Sb
• Structure of A=138 isobars above the 132Sn core and the N-N interaction in the neutron-rich environment

Cited by in corpus (5)

• Evolution of the N=28 shell closure: a test bench for nuclear forces
• Tensor and tensor-isospin terms in the effective Gogny interaction
• Shell-model study of exotic Sn isotopes with a realistic effective interaction
• 6${}^{+}$ isomers in neutron-rich Sn-isotopes beyond N$=82$ and effective interaction
• Signature of the N=126 shell closure in dwell times of alpha-particle tunneling