Beyond Mean-Field Theories with Zero-Range Effective Interactions: A Way to Handle the Ultraviolet Divergence

作者：Moghrabi K^*; Grasso M; Colo G; Van Giai N

来源：Physical Review Letters, 2010, 105(26): 262501.

DOI：10.1103/PhysRevLett.105.262501

Zero-range effective interactions are commonly used in nuclear physics and in other domains to describe many-body systems within the mean-field model. If they are used within a beyond-mean-field framework, contributions to the total energy that display an ultraviolet divergence are found. We propose a general strategy to regularize this divergence and we illustrate it in the case of the second-order corrections to the equation of state (EOS) of uniform symmetric matter. By setting a momentum cutoff Lambda, we show that for every (physically meaningful) value of Lambda it is possible to determine a new interaction such that the EOS with the second-order corrections reproduces the empirical EOS, with a fit of the same quality as that obtained at the mean-field level.

• 出版日期2010-12-23