Alpha matter on a lattice

Abstract

We obtain the equation of state of interacting alpha matter and the critical temperature of Bose-Einstein condensation of alpha particles within an effective scalar field theory. We start from a non-relativistic model of uniform alpha matter interacting with attractive two-body and repulsive three-body potentials and reformulate this model as a O(2) symmetric scalar ϕ^6 field theory with negative quartic and positive sextic interactions. Upon restricting the Matsubara sums, near the temperature of Bose-Einstein condensation, to the zeroth order modes we further obtain an effective classical theory in three spatial dimensions. The phase diagram of the alpha matter is obtained from simulations of this effective field theory on a lattice using local Monte-Carlo algorithms.

14 pages, 2 figures; v2: improved presentation, results unchanged; to appear in Nucl. Phys. A

References in corpus (7)

• Alpha cluster condensation in 12C and 16O
• Transition temperature of a dilute homogeneous imperfect Bose gas
• Dilute Multi Alpha Cluster States in Nuclei
• Transition from BCS pairing to Bose-Einstein condensation in low-density asymmetric nuclear matter
• Monte Carlo simulation of O(2) phi^4 field theory in three dimensions
• T_c for homogeneous dilute Bose gases: a second-order result
• Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length

Cited by in corpus (13)

• Microscopic Clustering in Light Nuclei
• The physics of dense hadronic matter and compact stars
• Density-induced suppression of the alpha-particle condensate in nuclear matter and the structure of alpha cluster states in nuclei
• Light nuclei in supernova envelopes: a quasiparticle gas model
• Pair condensation and bound states in fermionic systems
• Nuclear Alpha-Particle Condensates
• Critical temperature for $\alpha$-particle condensation in asymmetric nuclear matter
• Bose-Einstein condensation and liquid-gas phase transition in alpha-matter
• Composition of nuclear matter with light clusters and Bose-Einstein condensation of $\alpha$ particles
• Phase transitions and Bose-Einstein condensation in alpha-nucleon matter
• Light clusters in dilute heavy-baryon admixed nuclear matter
• Saturation and Condensate Fraction Reduction of Cold Alpha Matter
• Inhomogeneous condensates in dilute nuclear matter and BCS-BEC crossovers