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arXiv · 2112.12539

Bose-Einstein condensation in finite drops of alpha particles

L. M. Satarov·I. N. Mishustin·H. Stoecker
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Abstract

Ground-state properties of finite drops of alpha particles (Q-balls) are studied within a field-theoretical approach in the mean-field approximation. The strong interaction of alphas is described by the scalar field with a sextic Skyrme-like potential. The radial profiles of scalar- and Coulomb fields are found by solving the coupled system of Klein-Gordon and Poisson equations. The formation of shell-like nuclei, with vanishing density around the center, is predicted at high enough attractive strength of Skyrme potential. The equilibrium values of energy and baryon number of Q-balls and Q-shells are calculated for different sets of interaction parameters. Empirical binding energies of alpha-conjugate nuclei are reproduced only if the gradient term in the Lagrangian is strongly enhanced. It is demonstrated that this enhancement can be explained by a finite size of alpha particles.

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L. M. Satarov, I. N. Mishustin, H. Stoecker. 2022-07-04. Bose-Einstein condensation in finite drops of alpha particles. https://doi.org/10.1103/physrevc.106.014301

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