• Calculation of energy spectrum of $^{12}$C isotope with modified Yukawa potential by cluster models

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/087/04/0054

• # Keywords

Cluster model; $^{12}$C isotope; modified Yukawa potential; energy levels.

• # Abstract

In this paper, we have calculated the energy spectrum of 12C isotope in two-cluster models, $3\alpha$ cluster model and $^8$Be + $\alpha$ cluster model. We use the modified Yukawa potential for interaction between theclusters and solve the Schrödinger equation using Nikiforov–Uvarov method to calculate the energy spectrum. Then, we increase the accuracy by adding spin-orbit coupling and tensor force and solve them by perturbationtheory in both models. Finally, the calculated results for both models are compared with each other and with the experimental data. The results show that the isotope $^{12}$C should be considered as a three-$\alpha$ cluster and themodified Yukawa potential is adaptable for cluster interactions.

• # Author Affiliations

1. Department of Physics, Shahrood University of Technology, P.O. Box 36155-316, Shahrood, Iran

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019