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arXiv · 1012.3097

Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence

K. Moghrabi·M. Grasso·G. Colò·N. Van Giai
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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 (EOF) 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.

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K. Moghrabi, M. Grasso, G. Colò, N. Van Giai. 2010-12-14. Beyond-mean-field theories with zero-range effective interactions. A way to handle the ultraviolet divergence. https://doi.org/10.1103/physrevlett.105.262501

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