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arXiv · 2205.02155

Effective Mass of $\alpha$-Cluster in $^{12}$C Nucleus

Igor Filikhin·Abdennaceur Karoui·Branislav Vlahovic
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Abstract

Based on the effective-mass concept, we perform the Faddeev calculations for a low-lying spectrum of 3$\alpha$ states in $^{12}$C nucleus. A three-body potential is used to describe the known breaking of the 3$\alpha$-cluster structure in the nucleus. We show that the contribution of the three-body potential to the Hamiltonian can be compensated by increasing/decreasing the $\alpha$-particle free mass. The effective-mass values are adjusted so that to reproduce the experimental data for the $^{12}$C nucleus. The energy dependence of the effective mass and the correlation to a three-body potential are discussed. We show that the coupling between the $0^+$ ($2^+$) levels forms a specific picture of anti-crossing on the energy/effective-mass plane.

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Igor Filikhin, Abdennaceur Karoui, Branislav Vlahovic. 2022-05-04. Effective Mass of $\alpha$-Cluster in $^{12}$C Nucleus. https://doi.org/10.1142/s0218301322500987

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