title: Beyond mean-field theories with zero-range effective interactions: a way to handle the ultraviolet divergence.
abstract: 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 Λ, we show that for every (physically meaningful) value of Λ 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.
authors.affiliation: Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, Orsay, France.
authors.forename: K
authors.initials: K
authors.lastname: Moghrabi
authors.forename: M
authors.initials: M
authors.lastname: Grasso
authors.forename: G
authors.initials: G
authors.lastname: Colò
authors.forename: N
authors.initials: N
authors.lastname: Van Giai