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
Relativistic chiral mean field model for finite nuclei
โ 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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โฆ 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.
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