Accueil du site > Publications récentes > Renormalizability of the nuclear many-body problem with the Skyrme interaction beyond mean field
C. J. Yang, M. Grasso, K. Moghrabi, and U. van Kolck
Phenomenological effective interactions like Skyrme forces are
currently used in mean-field calculations in nuclear physics.
Mean-field models have strong analogies with the first order of
the perturbative many-body problem and the currently used
effective interactions are adjusted at the mean-field level. 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. We focus on symmetric
nuclear matter and its equation of state, which can be calculated
analytically at this order. It is shown that only by applying
specific density dependence and constraints to the interaction
parameters can renormalizability be guaranteed in principle. This
indicates that the standard Skyrme interaction does not in general
lead to a renormalizable theory. To achieve renormalizability,
other terms should be added to the interaction and employed
perturbatively only at first order.
Voir en ligne : Phys. Rev. C 95, 054325 (2017)
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