Renormalizability of the nuclear many-body problem with the Skyrme interaction beyond mean field
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PhysRevC.95.054325.pdf
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AMER PHYSICAL SOCCitation
Renormalizability of the nuclear many-body problem with the Skyrme interaction beyond mean field 2017, 95 (5) Physical Review CJournal
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©2017 American Physical SocietyCollection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
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.ISSN
2469-99852469-9993
Version
Final published versionSponsors
U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-FG02-04ER41338]; European Union Research and Innovation program Horizon [654002]Additional Links
http://link.aps.org/doi/10.1103/PhysRevC.95.054325ae974a485f413a2113503eed53cd6c53
10.1103/PhysRevC.95.054325