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 with 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.

Second-order equation of state with the Skyrme interaction : Cutoff and dimensional regularization with the inclusion of rearrangement terms / C.J. Yang, M. Grasso, X. Roca Maza, G. Colò, K. Moghrabi. - In: PHYSICAL REVIEW C. - ISSN 2469-9985. - 94:3(2016 Sep 08), pp. 034311.034311-1-034311.034311-20.

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

X. Roca Maza;G. Colò
Penultimo
;
2016

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 with 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.
nuclear and high energy physics
Settore FIS/04 - Fisica Nucleare e Subnucleare
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/499157
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