Relativistic Chiral Mean Field Model for Finite Nuclei

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Abstract

We present a relativistic chiral mean field (RCMF) model, which is a method for the proper treatment of pion-exchange interaction in the nuclear many-body problem. There the dominant term of the pionic correlation is expressed in two-particle two-hole (2p-2h) states with particle-holes having pionic quantum number, J^π. The charge-and-parity-projected relativistic mean field (CPPRMF) model developed so far treats surface properties of pionic correlation in 2p-2h states with J^π=0^- (spherical ansatz). We extend the CPPRMF model by taking 2p-2h states with higher spin quantum numbers, J^π=1^+,2^-,3^+,… to describe the full strength of the pionic correlation in the intermediate range (r>0.5fm). We apply the RCMF model to the ^4He nucleus as a pilot calculation for the study of medium and heavy nuclei. We study the behavior of energy convergence with the pionic quantum number, J^π, and find convergence around J^π_<max>=6^-. We include further the effect of the short-range repulsion in terms of the unitary correlation operator method (UCOM) for the central part of the pion-exchange interaction. The energy contribution of about 50% of the net two-body interaction comes from the tensor part and 20% comes from the spin-spin central part of the pion-exchange interaction.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 122(2), 477-498, 2009-08-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

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  • Relativistic Mean-Field Theory with the Pion in Finite Nuclei

    TOKI Hiroshi , SUGIMOTO Satoru , IKEDA Kiyomi , Research Center For Nuclear Physics (RCNP) Osaka University:Institute for Chemical and Physical Research (RIKEN) , Institute for Chemical and Physical Research (RIKEN) , Institute for Chemical and Physical Research (RIKEN)

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Codes

  • NII Article ID (NAID)
    110007339484
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    10332314
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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