Microscopic investigation of the structure characteristics and wave functions of the five-body hypernucleus He 5-lambda

Five particle hypernucleus  as a system of four nucleons and one hyperon is investigated by the use of the Hyperspherical Function Method in the momentum representation. Binding energies and the mean square distances for four and five body hypernuclei  with the use of the different nucleon-nucleon and hyperon-nucleon potentials are calculated. Obtained results demonstrate good convergence for the first two harmonics.    

Comparison of the results obtained by the use of different potentials demonstrates that inreasing repulsion in both hyperon nucleon and nucleon nucleon potentials along with taking into account additional harmonics may lead to decrease in calculated values of the binding energies and provide satisfactory agreement with existing experimental data.

Abstract: 

Parentage Scheme of Summarization to the N-body symmetrized basis construction necessary for the description of the structural characteristics and decay reactions of the hypernuclear and nuclear systems with arbitrary amount of particles is applied to the solution of five-body problem in hypernuclear physics. Hypernucleus  He 5-lambda as a system of four nucleons and one hyperon is investigated with the use of the Hyperspherical Function Method in the momentum representation. The dependence of the structure characteristics and wave functions on the types of nucleon-nucleon and hyperon-nucleon interaction potentials is studied. Mean Square distances and the binding energies for the  and are obtained.                                                                                                         

This publication has been peer reviewed.
Publication Type: 
Journal Article
Authors: 
Lia Margolin
Year of Publication: 
2014
Journal, Book, Magazine or Other Publication Title: 
European Physical Journal
Volume: 
66
Section: 
09013
Date Published: 
Sunday, March 30, 2014
Place Published: 
Florence, Italy
Publication Language: 
English
DOI: 
10.1051/epjconf/20146609013
Boyer's Domain: 
Associated Awards: 
Faculty Research Grant

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