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Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration | | K. Yokokawa
; T. Hatsuda
; A. Hayashigaki
; T. Kunihiro
; | | Date: |
15 Apr 2002 | | Journal: | Phys.Rev. C66 (2002) 022201 | | Subject: | hep-ph nucl-th | | Affiliation: | Univ. of Tokyo), T. Hatsuda (Univ. of Tokyo), A. Hayashigaki (Univ. of Tokyo), T. Kunihiro (Kyoto Univ. | | Abstract: | Complex poles of the unitarized pi-pi scattering amplitude in nuclear matter are studied. Partial restoration of chiral symmetry is modeled by the decrease of in-medium pion decay constant f*_{pi}. For large chiral restoration (f*_{pi}/f_{pi} << 1), 2nd sheet poles in the scalar (sigma) and the vector (rho) mesons are both dictated by the Lambert W function and show universal softening as f*_{pi} decreases. In-medium pi-pi cross section receives substantial contribution from the soft mode and exhibits a large enhancement in low-energy region. Fate of this universality for small chiral restoration (f*_{pi}/f_{pi} ~ 1) is also discussed. | | Source: | arXiv, hep-ph/0204163 | | Services: | Forum | Review | PDF | Favorites | |
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