Pi pi scattering in the rho meson channel at finite temperature
Dec, 1997
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Abstract:
We study scattering in the I=1, channel at finite temperature in the framework of the extended Nambu-Jona-Lasinio model that explicitly includes vector and axial-vector degrees of freedom in addition to the usual scalar and pseudoscalar sector. The S-matrix in the coupled channels and is constructed via -exchange in the -channel. The self-energy of the -meson contains both quark and pion loop contributions. The analytic structure of the S-matrix for is investigated and the motion of the -pole as a function of coupling constant and temperature is followed in the complex -plane. For numerical calculations, parameters are chosen in order that , and the experimental phase shifts at zero temperature are reproduced, and then the behavior of the -pole as well as the cross section is investigated as a function of the temperature. We find that the position of the mass stays practically constant for MeV, and then moves down in energy by about 200 MeV for 130 MeV MeV.Note:
- 25 pages, 12 figures, to appear in Nucl. Phys. A
- 12.39.Ba
- 21.65.+f
- 24.85.+p
- 25.75.-q
- ππscattering
- ϱ-meson
- Finite temperature
- Analytic structure
- pi pi: elastic scattering
- rho(770): exchange
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