Saturation and Condensate Fraction Reduction of Cold Alpha Matter

Abstract

The ground state energy of ideal alpha-matter at T=0 is analyzed within the framework of variational theory of Bose quantum liquids. Calculations are done for three local alpha-alpha potentials with positive volume integrals and two-body correlation functions obtained from the Pandharipande-Bethe equation. The energy per particle of $\alp$ matter is evaluated in the cluster expansion formalism up to four-body diagrams, and using the HNC/0 and HNC/4 approximation for a Bose liquid. Inclusion of higher order terms in the cluster expansion of the condensate fraction are leading to a stronger depletion of the alpha condensate with the density compared to the two-body approximation prediction.

16 pages, 6 figures

References in corpus (1)

• Density-induced suppression of the alpha-particle condensate in nuclear matter and the structure of alpha cluster states in nuclei

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• Temperature of the hot $\alpha$-source: a guidance to probe the Bose-Einstein condensation of $\alpha$ clusters in the heavy-ion collision
• Cluster Expansion of Cold Alpha Matter Energy