Anisotropic multicluster model in light nuclei
Abstract
Multicluster models consider that the nucleons can be moving around different centers in the nuclei. These models have been widely used to describe light nuclei but always considering that the mean field is composed of isotropic harmonic oscillators with different centers. In this work, we propose an extension of these models by using anisotropic harmonic oscillators. The strengths of these oscillators, the distance among the different centers and the disposition of the nucleons inside every cluster are free parameters which have been fixed using the variational criterion. All the onebody and twobody matrix elements have been analytically calculated. Only a numerical integration on the Euler angles is needed to carry out the projection on the values of the total spin of the state and its third component. We have studied the ground state and the first excited states of ^{8}Be, ^{12}C and ^{10}Be getting good results for the energies. The disposition of the nucleons in the different clusters have also been analyzed by using projection on the different Cartesian planes getting much more information than when the radial onebody density is used.
 Publication:

Journal of Physics G Nuclear Physics
 Pub Date:
 June 2016
 DOI:
 10.1088/09543899/43/6/065103
 arXiv:
 arXiv:2201.05345
 Bibcode:
 2016JPhG...43f5103G
 Keywords:

 Nuclear Theory;
 Physics  Atomic Physics
 EPrint:
 Journal of Physics G: Nuclear and Particle Physics 43 (6), 065103, 2016