SD-pair shell model: Vibrational and rotational limits in the interacting boson–fermion model for like-nucleon system

2020 ◽  
Vol 29 (10) ◽  
pp. 2050088
Author(s):  
B. C. He ◽  
Y. Zhang ◽  
L. Li ◽  
Y. A. Luo ◽  
F. Pan ◽  
...  

Typical features of the Bose–Fermi symmetries associated with [Formula: see text] and [Formula: see text] limits in the interacting boson model are described in the SD-pair shell model (SDPSM) framework for like-nucleon system. It is found that the limiting spectra associated with [Formula: see text] (vibrational) and [Formula: see text] (rotational) in the interacting boson–fermion model can be well reproduced in the SDPSM framework. It is shown that coupling of collective degree of freedom with the single-particle degree of freedom in the pairing interaction almost has no effect on the spectrum of odd-A system comparing to the adjacent even–even system, while the coupling of the collective degree of freedom with the single-particle degree of freedom in the quadrupole–quadrupole interaction results in the level splitting of several excited levels.

2011 ◽  
Vol 20 (10) ◽  
pp. 2229-2233
Author(s):  
Y. WANG ◽  
L. LI ◽  
Y. A. LUO ◽  
Y. ZHANG ◽  
F. PAN ◽  
...  

The γ-unstable limit of the interacting boson model for identical nucleon systems (IBM-I) was studied within the framework of the SD-pair shell model. The results show that the properties of this limit as realized within the boson picture can be reproduced well within a fermion framework.


Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 66
Author(s):  
Jenni Kotila

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.


Author(s):  
YAN-AN LUO ◽  
FU-YONG WANG ◽  
FENG PAN ◽  
JERRY P. DRAAYER ◽  
PING-ZHI NING

2006 ◽  
Vol 15 (08) ◽  
pp. 1933-1939 ◽  
Author(s):  
N. YOSHIDA ◽  
L. ZUFFI ◽  
S. BRANT

We study the β decay from an even-even nucleus 124 Ba to an odd-odd nucleus 124 Cs in the interacting boson-fermion-fermion model (IBFFM). The even-even nucleus is described by the proton-neutron interacting boson model (IBM2) while the odd-odd nucleus is by the proton-neutron interacting boson-fermion-fermion model (IBFFM2). The result shows that the model is applicable to β-decay as well as the energy levels and the electromagnetic properties.


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