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Nuclear Theory·nucl-th

Friday·June 2, 2017

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 01

    [Submitted on 31 May 2017]

    The pseudo-Semimicroscopic Algebraic Cluster Model model: Heavy nuclei

    Huitzilin Yépez-Martínez · Peter O. Hess

    The Semimicroscopic Algebraic Cluster Model (SACM) is extended to heavy nuclei, making use of the pseudo-SU(3) model. As a first step, the concept of forbiddenness will be resumed. One consequence of the forbiddenness is that the ground state of a nucleus can in general be described by two internally excited clusters. After that, the pseudo- SACM is formulated. The basis of pseudo-SACM is constructed, defin- ing each cluster within the united nucleus with the same oscillator fre- quency and deformation of the harmonic oscillator as a mean field and dividing the nucleons in those within the unique and normal orbitals, consistently for both clusters and the united nucleus. As test cases, this model is applied to 236U 210Pb+26Ne and 224Ra $\rightarrow} 210Pb+14C. Some spectroscopic factors will be calculated as predictions.

    Comments:
    25 pages, 2 figures, 4 tables
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1706.00067 [pdf]
    0 citations
  2. 02

    [Submitted on 1 Jun 2017]

    Toward a systematic strategy for defining power counting in the construction of the energy density functional theory

    C.-J. Yang🇫🇷 · M. Grasso🇫🇷 · D. Lacroix🇫🇷

    We propose a new scheme for constructing an effective-field-theory-based interaction to be used in the energy-density-functional (EDF) theory with specific assumptions for defining a power counting. This procedure is developed through the evaluation of the equation of state (EOS) of symmetric and pure neutron matter going beyond the mean-field scheme and using a functional defined up to next-to-leading order (NLO), that we will call NLO EDF. A Skyrme-like interaction is constructed based on the condition of renormalizibility and on a power counting on , where is the Fermi momentum and is the breakdown scale of our expansion. To absorb the divergences present in beyond mean-field diagrams, counter interactions are introduced for the NLO EDF and determined through renormalization conditions. In particular, three scenarios are explored and all of them lead to satisfactory results. These counter interactions contain also parameters which do not contribute to the EOS of matter and may eventually be determined through future adjustments to properties of some selected finite nuclei. Our work serves as a simple starting point for constructing a well-defined power counting within the EDF framework.

    Comments:
    24 pages, 12 figures. Published version
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    1706.00258 [pdf]
    PRC(2017)·15 citations

Affiliations

first authorsco-authorsvia INSPIRE