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    • 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
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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