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.
|Titolo:||Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence|
COLO', GIANLUCA (Penultimo)
|Settore Scientifico Disciplinare:||Settore FIS/04 - Fisica Nucleare e Subnucleare|
|Data di pubblicazione:||2010|
|Digital Object Identifier (DOI):||10.1103/PhysRevLett.105.262501|
|Appare nelle tipologie:||01 - Articolo su periodico|