Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration

Details Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration

2002-04-15

arxiv.org/abs/hep-ph/0204163v2

Phys.Rev. C66 (2002) 022201

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 4-eps figures, version accepted by Phys. Rev. C (R) with minor modifications

Scientific paper

10.1103/PhysRevC.66.022201

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.

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