冷α物质能量的团簇膨胀
Cluster Expansion of Cold Alpha Matter Energy
摘要：
在玻色液体的集团展开框架下，计算了对g. s.贡献的二体、三体和四体图的解析表达式。零温度下中性α粒子无限系统的能量，仅通过强核力相互作用。通过假设密度依赖的高斯型两体关联函数，这在分析上是容易处理的。对于α-α势，我们采用唯象的Ali-Bodmer相互作用和半微观势从Gogny力参数化。我们表明，在这样的假设下，我们实现了快速收敛的集群膨胀，四体贡献的能量小于两体和三体的贡献至少一个数量级。
英文摘要：
In the cluster expansion framework of Bose liquids we calculate analytical expressions of the two-body, three-body and four-body diagrams contributing to the g.s. energy of an infinite system of neutral alpha-particles at zero-temperature, interacting via the strong nuclear forces exclusively. This is analytically tractable by assuming a density dependent two-body correlation function of Gaussian type. For the alpha-alpha potential we adopt the phenomenological Ali-Bodmer interaction and semi-microscopic potentials obtained from the Gogny force parametrizations. We show that under such assumptions we achieve a rapid convergence in the cluster expansion, the four-body contributions to the energy being smaller than the two-body and three-body contributions by at least an order of magnitude.
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