Properties of the phi meson at finite temperature

Abstract

We calculate the $\varphi$-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 $K^{+}{K}^{-}\to \varphi \to {\ell }^{+}{\ell }^{-}$ and $\pi \rho \to \varphi \to {\ell }^{+}{\ell }^{-}$. 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.

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

References in corpus (3)

• Lepton pairs from thermal mesons
• On the current correlators in QCD at finite temperature
• Octet Baryons at Finite Temperature: QCD Sum Rules vs. Chiral Symmetry

Cited by in corpus (15)

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• Effective mass of phi mesons at finite temperature
• Short-Lived Phi Mesons
• The effects of meson mixing on dilepton spectra
• Higher excitations of $\omega$ and $\varphi$ in dilepton spectra
• The phi meson at high temperatures and densities
• In medium effects on the $\varphi$ meson
• Omega-Phi mixing at finite temperature
• Measuring hadron properties at finite temperature
• Phi meson production in In-In collisions at $E_{\mathrm{lab}}$=158$A$ GeV: evidence for relics of a thermal phase
• Phi Meson Propagation and Decay at Finite Temperature