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Relativistic chiral mean field model for finite nuclei

โœ Scribed by Yoko Ogawa; Hiroshi Toki


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
405 KB
Volume
860
Category
Article
ISSN
0375-9474

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โœฆ Synopsis


We present a method for proper treatment of pion-exchange interaction in the nuclear many-body problem in a relativistic chiral mean field (RCMF) model. The pionic correlation is expressed in 2-particle 2-hole (2p-2h) states in addition to the standard mean field state, to describe the full strength of pionic correlations. The effect of the short-range repulsion is included by way of the unitary correlation operator method (UCOM) for the central part of the pion-exchange interaction. We apply the RCMF model to 12 C and 16 O. The convergence of pionic energy contributions is realized with pionic quantum number J ฯ€ up to 10 -for 12 C and 11 + for 16 O. The pion-exchange interaction gives the dominant contribution to the binding energy. The pion plays an important role in the formation of the jj -magic shell effect by way of the Pauli-blocking mechanism of the pion-exchange interaction. The lower pionic quantum numbers J ฯ€ 3 + are the dominant components of the nuclear surface structure.


๐Ÿ“œ SIMILAR VOLUMES


Relativistic chiral mean field model for
โœ H. Toki; Y. Ogawa; S. Tamenaga; A. Haga ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 782 KB

We study the role of pion for the structure of finite nuclei. We take the chiral sigma model, where the pions are the Nambu-Goldstone bosons of the chiral symmetry breaking. We then take the finite pion mean field in the relativistic mean field approximation. We study first the nuclei in the range o