Renormalizability of the Nuclear Many-Body Problem with the Skyrme Interaction Beyond Mean Field - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Physical Review C Year : 2017

Renormalizability of the Nuclear Many-Body Problem with the Skyrme Interaction Beyond Mean Field

M. Grasso
K. Moghrabi
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Abstract

Phenomenological effective interactions like Skyrme and Gogny forces are currently used in mean-field calculations in nuclear physics. Mean-field models represent the first order in the perturbative many-body problem and effective interactions are adjusted and used at this order. In this work, we analyze the renormalizability of the nuclear many-body problem in the case where the effective Skyrme interaction is employed in its standard form and the perturbative problem is solved up to second order. For simplicity, we focus on symmetric nuclear matter and its equation of state, which can be calculated analytically at this order. Specific density dependences are found for which the problem is renormalizable, one of which generates a reasonable equation of state over a quite large range of densities around saturation. However, it is shown that the standard Skyrme interaction does not in general lead to a renormalizable theory. For renormalizability, other terms should be added to the interaction and employed perturbatively only at first order.

Dates and versions

in2p3-00924042 , version 1 (06-01-2014)

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C.J. Yang, M. Grasso, K. Moghrabi, U. van Kolck. Renormalizability of the Nuclear Many-Body Problem with the Skyrme Interaction Beyond Mean Field. Physical Review C, 2017, 95, pp.054325. ⟨10.1103/PhysRevC.95.054325⟩. ⟨in2p3-00924042⟩
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