Bose-Einstein condensation in finite drops of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math> particles

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