Zero–range effective interactions are commonly used in nuclear physics to describe a many-body system in the mean-field framework. If they are employed in beyond-mean-field models, an artificial ultraviolet divergence is generated by the zero-range of the interaction. We analyze this problem in symmetric nuclear matter with the t0 – t3 Skyrme model. In this case, the second-order energy correction diverges linearly with the momentum cutoff Λ. After that, we extend the work to the case of nuclear matter with the full Skyrme interaction. A strong divergence (∼ Λ5) related to the velocity-dependent terms of the interaction is obtained. Moreover, a global fit can be simultaneously performed for both symmetric and nuclear matter with different neutron-to-proton ratios. These results pave the way for applications to finite nuclei in the framework of beyond mean-field theories.

A beyond-mean-field example with zero–range effective interactions in infinite nuclear matter / K. Moghrabi, M. Grasso, X. Roca-Maza, G. Colò, N. Van Giai. - In: EPJ WEB OF CONFERENCES. - ISSN 2100-014X. - 38(2012), pp. 06002.1-06002.5. ((Intervento presentato al 6. convegno NSRT12 : International conference on nuclear structure and related topics tenutosi a Dubna, Russia nel 2012.

A beyond-mean-field example with zero–range effective interactions in infinite nuclear matter

X. Roca-Maza;G. Colò
Penultimo
;
2012

Abstract

Zero–range effective interactions are commonly used in nuclear physics to describe a many-body system in the mean-field framework. If they are employed in beyond-mean-field models, an artificial ultraviolet divergence is generated by the zero-range of the interaction. We analyze this problem in symmetric nuclear matter with the t0 – t3 Skyrme model. In this case, the second-order energy correction diverges linearly with the momentum cutoff Λ. After that, we extend the work to the case of nuclear matter with the full Skyrme interaction. A strong divergence (∼ Λ5) related to the velocity-dependent terms of the interaction is obtained. Moreover, a global fit can be simultaneously performed for both symmetric and nuclear matter with different neutron-to-proton ratios. These results pave the way for applications to finite nuclei in the framework of beyond mean-field theories.
Settore FIS/04 - Fisica Nucleare e Subnucleare
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/229544
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