Bose-Einstein condensation in finite drops of alpha particles

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.

24 pages, 9 figures

References in corpus (6)

• Neutron skin thickness of heavy nuclei with $\alpha$-particle correlations and the slope of the nuclear symmetry energy
• Compact Q-balls and Q-shells in a scalar electrodynamics
• Cluster-liquid transition in finite saturated fermionic systems
• Many Body Approach for Quartet Condensation in Strong Coupling
• Radially excited $U\left(1\right)$ gauged $Q$-balls
• Bose-Einstein condensate of alpha particles in the ground state of nuclear matter?

Cited by in corpus (1)

• Understanding the Quantized Angular Momentum of Rotating Q-balls