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.

arXiv comment24 pages, 9 figures

References in corpus (24)

• Supersymmetric Q-balls as dark matter
• Shell structure of superheavy nuclei in self-consistent mean-field models
• Microscopic Clustering in Light Nuclei
• Concepts of alpha-particle condensation
• 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
• Review of non-topological solitons in theories with $U(1)$-symmetry
• Some properties of U(1) gauged Q-balls
• Cluster-liquid transition in finite saturated fermionic systems
• Localization and clustering in the nuclear Fermi liquid
• Many Body Approach for Quartet Condensation in Strong Coupling
• Mapping Gauged Q-Balls
• Radially excited $U\left(1\right)$ gauged $Q$-balls
• Q-ball dynamics from atomic Bose-Einstein condensates
• Alpha-cluster Condensations in Nuclei and Experimental Approaches for their Studies
• Signals of Bose Einstein condensation and Fermi quenching in the decay of hot nuclear systems
• Bose-Einstein condensation and liquid-gas phase transition in alpha-matter
• Condensation of interacting scalar bosons at finite temperatures
• Phase transitions and Bose-Einstein condensation in alpha-nucleon matter
• Correlation in formation of ${}^8$Be nuclei and $\alpha$-particles in fragmentation of relativistic nuclei
• The Ubiquity of Gauged Q-Shells
• Phase diagram of alpha matter with Skyrme-like scalar interaction
• A Variety of Nontopological Solitons in a Spontaneously Broken U(1) Gauge Theory -- Dust Balls, Shell Balls, and Potential 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