Microscopic analysis of quadrupole collective motion in Cr-Fe nuclei: I. Renormalization of collective states and interacting-boson-model parameters
H. Nakada, T. Otsuka
Abstract
We present a new method by which wavefunctions with simple structure are renormalized so as to contain more complicated structure. This method, called Hn-cooling method, is applied to the study of the quadrupole collective motion of 56Fe, 54Cr, 58Fe and 56Cr. The shell-model wavefunctions of lowest-lying states of these nuclei are well treated by this method. By using the wavefunctions obtained via the Hn-cooling method, IBM-2 parameters are derived from a realistic shell-model hamiltonian and transition operators. The Majorana interaction becomes sizably repulsive, primarily as an effect of the renormalization. The bosonic E2 effective-charges are enhanced due to the renormalization, while a quenching occurs in the M1 and M3 parameters for proton bosons. It is shown that the χ parameters take similar values in the hamiltonian and in the E2 operator.
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