The finite range simple effective interaction including tensor terms

Abstract

The prediction of single particle level crossing phenomenon between $2p_{3/2}$ and $1f_{5/2}$ orbitals in $Ni$- and $Cu$-isotopic chains by the finite range simple effective interaction without requiring the tensor part is discussed. In this case the experimentally observed crossing could be studied as a function of nuclear matter incompressibility, $K({\rho }_0)$. The estimated crossing for the neutron number $N$=46 could be reproduced by the equation of state corresponding to $K({\rho }_0)$=240 MeV. However, the observed proton gaps between the $1h_{11/2}$ and $1g_{7/2}$ shells in $Sn$ and $Sb$ isotopic chain, and the neutron gaps between the $1i_{13/2}$ and $1h_{9/2}$ shells in $N$=82 isotones, as well as the shell closure properties at $N$=28 require explicit consideration of a tensor part as the central contribution is not enough to initiate the required level splittings.

References in corpus (13)

• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Microscopic justification of the Equal Filling approximation
• Incompressibility in finite nuclei and nuclear matter
• Incompressibility of neutron-rich matter
• Cross-shell excitation in two-proton knockout: Structure of ${}^{52}$Ca
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• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Exact versus Taylor-expanded energy density in the study of the neutron star crust-core transition
• Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction
• The N=50 and Z=28 shell closure revisited

Cited by in corpus (2)

• Correlations between charge radii differences of mirror nuclei and stellar observables
• Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes