$E0$ transition strengths from X(5) to the rigid rotor

$E 0$ transition strengths from X(5) to the rigid rotor

J. Bonnet, A. Krugmann, J. Beller, N. Pietralla, and R. V. Jolos

Phys. Rev. C 79, 034307 – Published 9 March 2009

Abstract

Relative and absolute $E 0$ transition strengths $[ρ^{2} (E 0)]$ on the transitional path between the X(5) solution and the rigid rotor limit have been evaluated within the framework of the confined $β$ soft (CBS) rotor model. Relative $E 0$ transition strengths between the $β$ -vibrational band and the ground state band decrease with increasing angular momentum for a given potential stiffness. Absolute $E 0$ transition strengths drop with increasing potential stiffness toward zero in the rigid rotor limit. Interband $E 0 − E 2$ correlation observables are examined to estimate $ρ^{2} (E 0)$ as a function of the $R_{4 / 2}$ ratio.