Lowest lying ${2}^{+}$ and ${3}^{\ensuremath{-}}$ vibrational states in Pb, Sn, and Ni isotopes in relativistic quasiparticle random-phase approximation

Lowest lying $2^{+}$ and $3^{-}$ vibrational states in Pb, Sn, and Ni isotopes in relativistic quasiparticle random-phase approximation

A. Ansari and P. Ring

Phys. Rev. C 74, 054313 – Published 27 November 2006

Abstract

The excitation energies and electric multipole decay rates of the lowest lying $2^{+}$ and $3^{-}$ vibrational states in Pb, Sn, and Ni nuclei are calculated following relativistic quasiparticle random-phase approximation formalism based on the relativistic Hartree-Bogoliubov mean field. Two sets of Lagrangian parameters, NL1 and NL3, are used to investigate the effect of the nuclear force. Overall there is good agreement with the available experimental data for a wide range of mass numbers considered here, and the NL3 set seems to be a better choice. However, strictly speaking, these studies point toward the need of a new set of force parameters that could produce more realistic single-particle levels, at least in vicinity of the Fermi surface, of a wide range of nuclear masses.