Microscopic analysis of quadrupole collective motion in Cr-Fe nuclei. I. Renormalization of collective states and interacting boson model parameters

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.55.748· OSTI ID:450497

Nakada, H ^[1]; Otsuka, T ^[2]

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1. Department of Physics, Faculty of Science, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba 263 (Japan)
2. Department of Physics, Faculty of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113 (Japan)

We present a new method by which wave functions with simple structure are renormalized so as to contain more complicated structure. This method, called H{sup n}-cooling method, is applied to the study of the quadrupole collective motion of {sup 56}Fe, {sup 54}Cr, {sup 58}Fe, and {sup 56}Cr. The shell-model wave functions of lowest-lying states of these nuclei are well treated by this method. By using the wave functions obtained via the H{sup n}-cooling method, interacting boson model-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 {chi} parameters take similar values in the Hamiltonian and in the E2 operator. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 450497
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 2 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHROMIUM 54
CHROMIUM 56
COLLECTIVE MODEL
COOLING
INTERACTING BOSON MODEL
IRON 56
IRON 58
QUADRUPOLES
RENORMALIZATION
SHELL MODELS
WAVE FUNCTIONS