Cross sections for inelastic $K$+$\varphi$ scattering

Abstract

In the first Born approximation we study the reactions $K\varphi \to \pi K$, $\rho K$, $\pi K^{\ast }$, and $\rho K^{\ast }$ with quark-antiquark annihilation and creation. Transition amplitudes are derived with the development in spherical harmonics of the relative-motion wave functions of the two initial mesons and of the two final mesons so that parity is conserved and the total angular momentum of the final mesons equals the one of the initial mesons. Unpolarized cross sections are calculated from the transition amplitudes that also contain mesonic quark-antiquark relative-motion wave functions and transition potentials for quark-antiquark annihilation and creation. Notable temperature dependence of the cross sections is shown. While the cross sections for $K\varphi \to \rho K$, $K\varphi \to \pi K^{\ast }$, and $K\varphi \to \rho K^{\ast }$ may be of the millibarn scale, the cross section for $K\varphi \to \pi K$ is very small.

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References in corpus (8)

• K*(892)${}^0$ and $\Phi$(1020) production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Partonic flow and $\varphi$-meson production in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Measurements of $\varphi$ meson production in relativistic heavy-ion collisions at RHIC
• Nuclear modification factors of phi mesons in d+Au, Cu+Cu and Au+Au collisions at sqrt(S_NN)=200 GeV
• Production of K${}^{\ast }(892{)}^0$ and $\varphi (1020)$ in pp and Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Measurement of $\varphi$-meson production in Cu$+$Au at $\sqrt{s_{{}_{NN}}}=200$ GeV and U$+$U at $\sqrt{s_{{}_{NN}}}=193$ GeV
• Temperature dependence of cross sections for meson-meson nonresonant reactions in hadronic matter
• Inelastic Meson-Meson Scattering in Hadronic Matter