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    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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    Author
    Yang, C. J.
    Grasso, M.
    Moghrabi, K.
    van Kolck, U.
    Affiliation
    Univ Arizona, Dept Phys
    Issue Date
    2017-05-26
    
    Metadata
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    Publisher
    AMER PHYSICAL SOC
    Citation
    Renormalizability of the nuclear many-body problem with the Skyrme interaction beyond mean field 2017, 95 (5) Physical Review C
    Journal
    Physical Review C
    Rights
    ©2017 American Physical Society
    Collection 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
    2469-9985
    2469-9993
    DOI
    10.1103/PhysRevC.95.054325
    Version
    Final published version
    Sponsors
    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.95.054325
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevC.95.054325
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