A beyond-mean-field example with zero–range effective interactions in infinite nuclear matter
1 Institut de Physique Nucléaire, Université Paris-Sud, IN2P3-CNRS, F -91406 Orsay Cedex, France
2 INFN, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
3 Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy
a e-mail: firstname.lastname@example.org
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.
© Owned by the authors, published by EDP Sciences, 2012
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