Cross sections for 2-to-3 meson-meson scattering

Abstract

We study 2-to-3 meson-meson scattering based on the process that a gluon is created from a constituent quark or antiquark and subsequently the gluon creates a quark-antiquark pair. The transition potential for the process is derived in QCD. Eight Feynman diagrams at tree level are involved in the 2-to-3 meson-meson scattering. Starting from the $S$-matrix element, we derive the unpolarized cross section from the eight transition amplitudes corresponding to the eight Feynman diagrams. The transition amplitudes contain color, spin, and flavor matrix elements. The 2-to-3 meson-meson scattering includes $\pi \pi \to \pi K\bar{K}$, $\pi K\to \pi \pi K$, $\pi K\to KK\bar{K}$, $KK\to \pi KK$, and $K\bar{K}\to \pi K\bar{K}$. Cross sections for the reactions are calculated. The cross sections depend on temperature obviously, and the cross section for $\pi K\to \pi \pi K$ for total isospin $I=3/2$ at zero temperature is compared to experimental data. By comparison with inelastic 2-to-2 meson-meson scattering, we find that 2-to-3 meson-meson scattering may be as important as inelastic 2-to-2 meson-meson scattering.

arXiv comment43 pages, 11 figures, 4 tables, LaTeX; more discussions added

References in corpus (64)

• ππscattering
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Hadronic Z- and tau-Decays in Order alpha_s^4
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• The inverse amplitude method in Chiral Perturbation Theory
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• The Determination of alpha_s from Tau Decays Revisited
• Measurement of the nuclear modification factor for inclusive jets in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• Identification of a Scalar Glueball
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• High statistics measurement of Ke4 decay properties
• Transverse momentum spectra and nuclear modification factors of charged particles in Xe-Xe collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.44 TeV
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Separation of S- wave pseudoscalar and pseudovector amplitudes in pi^- p---> pi^+ pi^- n reaction on polarized target
• Bethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Theoretical Study of the γγ-->meson-meson Reaction
• Final State Interactions in Hadronic D decays
• Hadronic eta and eta-prime decays
• Rescattering and chiral dynamics in B\to ρπdecay
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Dispersive analysis of the $\gamma {\gamma }^{\ast }\to \pi \pi$ process
• Unitary chiral dynamics in J/Psi to VPP decays and the role of scalar mesons
• S wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• $\pi \pi \to K\bar{K}$ scattering up to 1.47 GeV with hyperbolic dispersion relations
• Elimination of ambiguities in pion-pion phase shifts using crossing symmetry
• U(2)_{L}\times U(2)_{R} Chiral Theory of Mesons
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops
• Dynamical generation of pseudoscalar resonances
• Meson-Meson Scattering in the Quark Model: Spin Dependence and Exotic Channels
• Analysis of the D+ --> K- pi+ e+ nu_e decay channel
• Chiral Lagrangian treatment of pi eta scattering
• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• sigma and f_0(980) substructures from gamma-gamma to pi-pi, J/psi, phi radiative and D_s semi-leptonic decays
• I=3/2 $K\pi$ Scattering in the Nonrelativisitic Quark Potential Model
• New study of the isotensor pi-pi interaction
• The Inverse Amplitude Method and Chiral Perturbation Theory to two Loops
• Coupled-channel analysis of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ decay
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• Charged-particle nuclear modification factors in XeXe collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.44 TeV
• Proton-Antiproton Annihilation into a Lambda_c-Antilambda_c Pair
• Pion Mass Effects in the Large $N$ Limit of $\chiPT$
• Studying Kaon-pion S-wave scattering in K-matrix formalism
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• The [1,2] Padé Amplitudes for $\pi \pi$ Scatterings in Chiral Perturbation Theory
• The role of P-wave inelasticity in J/psi to pi+pi-pi0
• The Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations
• Multi-Meson Model for the $D^{+}\to K^{+}{K}^{-}{K}^{+}$ decay amplitude
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• Cross sections for meson-meson nonresonant reactions
• Temperature-dependent cross sections for charmonium dissociation in collisions with kaons and eta mesons in hadronic matter
• Master Formula Approach to Chiral Symmetry Breaking: Pi-Pi scattering
• pi K scattering in effective chiral theory of mesons
• pi^0 pi^0 Scattering Amplitudes and Phase Shifts Obtained by the pi^- P Charge Exchange Process
• Cross sections for inelastic meson-meson scattering via quark-antiquark annihilation
• Temperature dependence of cross sections for meson-meson nonresonant reactions in hadronic matter
• Cross sections for inelastic meson-meson scattering
• Cross Sections for Inelastic 2-to-2 Meson-Meson Scattering in Hadronic Matter

Cited by in corpus (2)

• Cross sections for 2-to-1 meson-meson scattering
• Inelastic Meson-Meson Scattering in Hadronic Matter