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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.
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http://hal.in2p3.fr/in2p3-00677392
Contributor : Sophie Heurteau <>
Submitted on : Thursday, March 8, 2012 - 10:59:48 AM
Last modification on : Sunday, November 8, 2020 - 12:26:02 PM

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K. Moghrabi, M. Grasso, G. Colò, N. van Giai. Beyond Mean-Field Theories with Zero-Range Effective Interactions: A Way to Handle the Ultraviolet Divergence. Physical Review Letters, American Physical Society, 2010, 105, pp.262501. ⟨10.1103/PhysRevLett.105.262501⟩. ⟨in2p3-00677392⟩

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