Light scalar $K_0^{\ast }(700)$ meson in vacuum and a hot medium

Abstract

The $K_0^{\ast }(700)$ meson appears as the lightest strange scalar meson in PDG. Although there were a lot of experimental and theoretical efforts to establish this particle and determine its properties and nature, it still needs confirmation in an experiment and its internal quark-gluon organization needs to be clarified. In this connection, we study some spectroscopic properties of this state in a hot medium as well as a vacuum by modeling it as a usual meson of a quark and an aniquark. In particular, we investigate its mass and coupling or decay constant in terms of the temperature of a hot medium by including the medium effects by the fermionic and gluonic parts of the energy momentum tensor as well as the temperature-dependent continuum threshold, quark, gluon and mixed condensates. We observe that the mass of $K_0^{\ast }(700)$ remains unchanged up to $T\simeq 0.6T_c$ with $T_c$ being the critical temperature, but it starts to diminish after this point and approaches zero near to the critical temperature referring to the melting of the meson. The coupling of $K_0^{\ast }(700)$ is also sensitive to $T$ at higher temperatures. It starts to grow rapidly after $T\simeq 0.85T_c$. We turn off the medium effects and calculate the mass and coupling of the $K_0^{\ast }(700)$ state at zero temperature. The obtained mass is in accord with the average Breit-Wigner mass value reported by PDG.

arXiv comment8 Pages, 3 Figures and 2 Tables, Accepted version

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Cited by in corpus (3)

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• The pion-kaon scattering amplitude and the $K^0(700)$ and $K^{\ast }(892)$ resonances at finite temperature
• K${}_{\mathrm{S}}^0$K${}_{\mathrm{S}}^0$ and K${}_{\mathrm{S}}^0$K${}^{\pm }$ femtoscopy in pp collisions at $\sqrt{s}=$ 5.02 and 13 TeV