Cluster-cluster potentials for the beryllium isotopes
Author
Source
Alexandria Journal of Mathematics
Issue
Vol. 2, Issue 1 (30 Jun. 2011), pp.1-8, 8 p.
Publisher
Amgad Society for Developing the Community and Protecting the Environment
Publication Date
2011-06-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Two types of cluster-cluster potentials are obtained for the beryllium isotopes.
The first one of the suggested four-body potentials is an attractive Gaussian interaction and the second is a superposition of repulsive and attractive Gaussian forces.
The ground-state wave functions of the beryllium isotopes 8Be, 9Be and 10Be are expanded in series in terms of products of two wave functions: the first represents the set of A-4 nucleons and the second represents the set of the last four nucleons.
We use the four-particle fractional parentage coefficients to separate the wave function into a function of (A- 4)-nucleons and the other for the remaining alpha particle.
In the construction of these wave functions we have used the basis functions of the translation-invariant shell model.
The expansion coefficients of the factorizations of these wave functions are products of four-particle orbital and spin-isospin fractional parentage coefficients.
American Psychological Association (APA)
Abd al-Khaliq, M. A.. 2011. Cluster-cluster potentials for the beryllium isotopes. Alexandria Journal of Mathematics،Vol. 2, no. 1, pp.1-8.
https://search.emarefa.net/detail/BIM-760829
Modern Language Association (MLA)
Abd al-Khaliq, M. A.. Cluster-cluster potentials for the beryllium isotopes. Alexandria Journal of Mathematics Vol. 2, no. 1 (Jun. 2011), pp.1-8.
https://search.emarefa.net/detail/BIM-760829
American Medical Association (AMA)
Abd al-Khaliq, M. A.. Cluster-cluster potentials for the beryllium isotopes. Alexandria Journal of Mathematics. 2011. Vol. 2, no. 1, pp.1-8.
https://search.emarefa.net/detail/BIM-760829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 8
Record ID
BIM-760829