Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-07-10
Nucl.Phys.A848:341-365,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
33 pages, 7 figures, 4 tables, version accepted in Nucl. Phys. A
Scientific paper
10.1016/j.nuclphysa.2010.09.016
The pi pi scattering is studied in two-flavor chiral models with a finite pion mass to investigate the nature of the sigma meson which is observed as the lowest scalar-isoscalar resonance. We compare several models with different origins of the sigma meson, such as the chiral partner of the pion and the dynamically generated pi pi molecule. We find that the dynamically generated sigma meson exhibits a novel pattern of the threshold enhancement reflecting the s-wave nature of the resonance, which is qualitatively different from the softening of the chiral partner introduced as a bare field. This behavior around the threshold energy region is universal as far as the bare sigma pole stays away from the threshold throughout the symmetry restoration process. On the other hand, for m_pi=0, the dynamically generated sigma behaves similarly to the chiral partner in the symmetry restoration limit, implying the possibility of the dynamically generated chiral partner.
Hyodo Tetsuo
Jido Daisuke
Kunihiro Teiji
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