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We study the processes $$K{\bar{K}} \rightarrow \phi $$ K K ¯ → ϕ , $$\pi D \rightarrow D^*$$ π D → D ∗ , $$\pi {\bar{D}} \rightarrow {\bar{D}}^*$$ π D ¯ → D ¯ ∗ , and the production of $$\psi (3770)$$ ψ ( 3770 ) , $$\psi (4040)$$ ψ ( 4040 ) , $$\psi (4160)$$ ψ ( 4160 ) , and $$\psi (4415)$$ ψ ( 4415 ) mesons in collisions of charmed mesons or charmed strange mesons. The process of 2-to-1 meson–meson scattering involves a quark and an antiquark from the two initial mesons annihilating into a gluon and subsequently the gluon being absorbed by the spectator quark or antiquark. Transition amplitudes for the scattering process derive from the transition potential in conjunction with mesonic quark–antiquark wave functions and the relative-motion wave function of the two initial mesons. We derive these transition amplitudes in the partial wave expansion of the relative-motion wave function of the two initial mesons so that parity and total-angular-momentum conservation are maintained. We calculate flavor and spin matrix elements in accordance with the transition potential and unpolarized cross sections for the reactions using the transition amplitudes. Cross sections for the production of $$\psi (4040)$$ ψ ( 4040 ) , $$\psi (4160)$$ ψ ( 4160 ) , and $$\psi (4415)$$ ψ ( 4415 ) relate to nodes in their radial wave functions. We suggest the production of $$\psi (4040)$$ ψ ( 4040 ) , $$\psi (4160)$$ ψ ( 4160 ) , and $$\psi (4415)$$ ψ ( 4415 ) as probes of hadronic matter that results from the quark–gluon plasma created in ultrarelativistic heavy-ion collisions.
We study the processes $$K{\bar{K}} \rightarrow \phi $$ K K ¯ → ϕ , $$\pi D \rightarrow D^*$$ π D → D ∗ , $$\pi {\bar{D}} \rightarrow {\bar{D}}^*$$ π D ¯ → D ¯ ∗ , and the production of $$\psi (3770)$$ ψ ( 3770 ) , $$\psi (4040)$$ ψ ( 4040 ) , $$\psi (4160)$$ ψ ( 4160 ) , and $$\psi (4415)$$ ψ ( 4415 ) mesons in collisions of charmed mesons or charmed strange mesons. The process of 2-to-1 meson–meson scattering involves a quark and an antiquark from the two initial mesons annihilating into a gluon and subsequently the gluon being absorbed by the spectator quark or antiquark. Transition amplitudes for the scattering process derive from the transition potential in conjunction with mesonic quark–antiquark wave functions and the relative-motion wave function of the two initial mesons. We derive these transition amplitudes in the partial wave expansion of the relative-motion wave function of the two initial mesons so that parity and total-angular-momentum conservation are maintained. We calculate flavor and spin matrix elements in accordance with the transition potential and unpolarized cross sections for the reactions using the transition amplitudes. Cross sections for the production of $$\psi (4040)$$ ψ ( 4040 ) , $$\psi (4160)$$ ψ ( 4160 ) , and $$\psi (4415)$$ ψ ( 4415 ) relate to nodes in their radial wave functions. We suggest the production of $$\psi (4040)$$ ψ ( 4040 ) , $$\psi (4160)$$ ψ ( 4160 ) , and $$\psi (4415)$$ ψ ( 4415 ) as probes of hadronic matter that results from the quark–gluon plasma created in ultrarelativistic heavy-ion collisions.
We review studies of inelastic meson-meson scattering. In nonperturbative schemes with chiral-perturbation-theory Lagrangians and in models based on effective meson Lagrangians, inelastic meson-meson scattering leads to the successful identification of resonances in meson-meson reactions, adequate inclusion of final state interactions in particle decays, and so on. For mesons of which each consists of a quark and an antiquark, inelastic meson-meson scattering may be caused by quark-antiquark annihilation, quark-antiquark creation, quark interchange, and quark-antiquark annihilation and creation. In transition amplitudes for meson-meson scattering mesonic quark-antiquark relative-motion wave functions depend on hadronic matter, and transition potentials are given in perturbative quantum chromodynamics. Via transition amplitudes the cross sections for inelastic meson-meson scattering depend on the temperature of hadronic matter. Some prominent temperature dependence of the cross sections has been found. Inelastic meson-meson scattering becomes even more significant in proton-proton collisions and lead-lead collisions at the Large Hadron Collider.
We study the process γγ→π0π0 involving the principal mechanisms, the structure of its cross section and the role of individual isoscalar-tensor resonances in the saturation of its energy spectrum.
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