scholarly journals Application of the Kerman-Klein Method to the Solution of a Spherical Shell Model for a Deformed Rare-Earth Nucleus

1997 ◽  
Vol 78 (23) ◽  
pp. 4347-4350 ◽  
Author(s):  
Pavlos Protopapas ◽  
Abraham Klein
Keyword(s):  
Rare Earth ◽  
Spherical Shell ◽  
Shell Model ◽  
Rare Earth Nucleus

WHY ARE SOME NUCLEI SPHERICAL?

1993 ◽  
Vol 02 (supp01) ◽  
pp. 71-79 ◽  
Author(s):  
KRISHNA KUMAR
Keyword(s):  
Potential Energy ◽  
Spherical Shell ◽  
Shell Model ◽  
Energy Minimization ◽  
Zero Point ◽  
Natural State ◽  
Atomic Nuclei ◽  
Point Motion ◽  
Spherical Nuclei ◽  
General Conditions

Energy minimization is not sufficient to determine whether a nucleus is spherical or deformed. The quantal zero-point motion can make a nucleus spherical even if the potential energy has a deformed minimum. However, some general conditions give deformed shape as the natural state of atomic nuclei. They are spherical only under some special conditions. Some general criteria for distinguishing spherical nuclei from deformed, as well as some advantages of using a deformed-shell model rather than a spherical-shell model, are presented.

Dielectric properties of nucleated erythrocytes as simulated by the double spherical-shell model

2020 ◽  
Vol 29 (12) ◽  
pp. 128703
Author(s):  
Jia Xu ◽  
Weizhen Xie ◽  
Yiyong Chen ◽  
Lihong Wang ◽  
Qing Ma
Keyword(s):  
Dielectric Properties ◽  
Spherical Shell ◽  
Shell Model

Irrotational core in deformed nuclei

1982 ◽  
Vol 60 (3) ◽  
pp. 337-339
Author(s):  
B. A. Bishara
Keyword(s):  
Rare Earth ◽  
Shell Model ◽  
Rare Earths ◽  
Axially Symmetric ◽  
Deformed Nuclei ◽  
The Core ◽  
Rotator Model ◽  
Rare Earth Nuclei ◽  
Rotationally Invariant

The construction of the "rotationally invariant core" (RIC) of the governor model for the deformed even–even nuclei has been studied for the rare earths. The comparison of the RIC nucleons with the shell model configurations shows that the model's assumption of "spherical" RIC is almost true only for the axially symmetric deformed nuclei. For asymmetric triaxial deformed nuclei, the study supports the assumption of the governor asymmetric rotator model, namely that the RIC is an axially symmetric prolate. The core shrinkage at higher rotational energies has been also calculated for several rare-earth nuclei.

EXCEPTIONAL STRUCTURES IN THE ODD-ODD NUCLEUS 250Md

2000 ◽  
Vol 09 (04) ◽  
pp. 309-317 ◽  
Author(s):  
P. C. SOOD ◽  
M. SAINATH ◽  
K. VENKATARAMANIAH
Keyword(s):  
Rare Earth ◽  
Energy Spectrum ◽  
Ground State ◽  
Low Energy ◽  
Α Decay ◽  
Decay Modes ◽  
Proton Interaction ◽  
Zero Range ◽  
Singlet Band ◽  
Rare Earth Nucleus

The low-energy two-quasiparticle bandhead energies for the odd-odd Z=101 nucleus 250 Md are evaluated using a zero range residual neutron-proton interaction. The 250Md ground state is seen to have the spin-parity Iπ=0- corresponding to the singlet band from the configuration {p : 7/2[514]⊗n:7/2[624]} in violation of the Gallagher-Moszkowski (GM) coupling rule. The situation here is shown to be almost identical to that for the rare-earth nucleus 166 Ho , which is the only well-established exception to the GM rule known so far. Analysis of the expected low energy spectrum, including the rotational levels, for 250 Md reveals the occurrence of an as-yet-unobserved long-lived high-spin Iπ = 7- isomeric state around (80±30) keV with dominant ε and α decay modes.

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