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Properties of the phi meson at finite temperature

Kevin L. Haglin·Charles Gale
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Abstract

We calculate the $ϕ$-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 $K^{+}K^{-}\to ϕ\to \ell^{+}\ell^{-}$ and $πρ\to ϕ\to \ell^{+}\ell^{-}$. 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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Kevin L. Haglin, Charles Gale. 1994-01-06. Properties of the phi meson at finite temperature. https://doi.org/10.1016/0550-3213(94)90519-3

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