dorsal/arxiv
View SchemaMicroscopic analysis of quadrupole collective motion in Cr-Fe nuclei: I. Renormalization of collective states and interacting-boson-model parameters
| Authors | H. Nakada, T. Otsuka |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9612012 |
| URL | https://arxiv.org/abs/nucl-th/9612012 |
| DOI | 10.1103/PhysRevC.55.748 |
Abstract
We present a new method by which wavefunctions with simple structure are renormalized so as to contain more complicated structure. This method, called $H^n$-cooling method, is applied to the study of the quadrupole collective motion of $^{56}$Fe, $^{54}$Cr, $^{58}$Fe and $^{56}$Cr. The shell-model wavefunctions of lowest-lying states of these nuclei are well treated by this method. By using the wavefunctions obtained via the $H^n$-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 $\chi$ parameters take similar values in the hamiltonian and in the E2 operator.
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"abstract": "We present a new method by which wavefunctions with simple structure are\nrenormalized so as to contain more complicated structure. This method, called\n$H^n$-cooling method, is applied to the study of the quadrupole collective\nmotion of $^{56}$Fe, $^{54}$Cr, $^{58}$Fe and $^{56}$Cr. The shell-model\nwavefunctions of lowest-lying states of these nuclei are well treated by this\nmethod. By using the wavefunctions obtained via the $H^n$-cooling method, IBM-2\nparameters are derived from a realistic shell-model hamiltonian and transition\noperators. The Majorana interaction becomes sizably repulsive, primarily as an\neffect of the renormalization. The bosonic E2 effective-charges are enhanced\ndue to the renormalization, while a quenching occurs in the M1 and M3\nparameters for proton bosons. It is shown that the $\\chi$ parameters take\nsimilar values in the hamiltonian and in the E2 operator.",
"arxiv_id": "nucl-th/9612012",
"authors": [
"H. Nakada",
"T. Otsuka"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.748",
"title": "Microscopic analysis of quadrupole collective motion in Cr-Fe nuclei: I. Renormalization of collective states and interacting-boson-model parameters",
"url": "https://arxiv.org/abs/nucl-th/9612012"
},
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