Second--order equation of state with the Skyrme interaction. Cutoff and dimensional regularization with the inclusion of rearrangement terms

Abstract : We evaluate the second--order (beyond--mean--field) contribution to the equation of state of nuclear matter with the effective Skyrme force and use cutoff and dimensional regularizations to treat the ultraviolet divergence produced by the zero--range character of this interaction. An adjustment of the force parameters is then performed in both cases to remove any double counting generated by the explicit computation of beyond--mean--field corrections with the Skyrme force. In addition, we include at second order the rearrangement terms associated to the density--dependent part of the Skyrme force and discuss their effect. Sets of parameters are proposed to define new effective forces which are specially designed for second--order calculations in nuclear matter.
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http://hal.in2p3.fr/in2p3-01313287
Contributor : Sophie Heurteau <>
Submitted on : Monday, May 9, 2016 - 5:26:18 PM
Last modification on : Thursday, January 11, 2018 - 6:12:41 AM

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  • HAL Id : in2p3-01313287, version 1
  • ARXIV : 1604.06278

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C. J. Yang, M. Grasso, X. Roca-Maza, G. Colò, K. Moghrabi. Second--order equation of state with the Skyrme interaction. Cutoff and dimensional regularization with the inclusion of rearrangement terms. 2016. ⟨in2p3-01313287⟩

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