Properties of the phi meson at finite temperature

Details Properties of the phi meson at finite temperature Properties of the phi meson at finite temperature

1994-01-06

arxiv.org/abs/nucl-th/9401003v1

Nucl.Phys. B421 (1994) 613-634

Physics

Nuclear Physics

Nuclear Theory

13 pages in ReVTeX 3.0, 11 uuencoded Postscript figures (enclosed), MSUCL-910, McGill 93/41

Scientific paper

10.1016/0550-3213(94)90519-3

We calculate the $\phi$-meson propagator at finite temperature at the one--loop order. The real and imaginary parts are studied separately in full kinematic ranges. From this activity we investigate how temperature affects such things as decay widths and dispersion relations. {}From here we estimate the thermal rate of lepton pair radiation in a hadron gas proceeding through $K^{+}K^{-}\to \phi \to \ell^{+}\ell^{-}$ and $\pi\rho\to \phi \to \ell^{+}\ell^{-}$. We find several interesting things. From the dispersion relations we learn the effective mass calculated this way increases with temperature as does the partial width, but only slightly. At $T=200$ MeV, the mass increases by $\sim$ 4 MeV and the partial width increases by 34\%. Polarizations are indistinguishable for practical purposes.

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