I=3/2 $K\pi$ Scattering in the Nonrelativisitic Quark Potential Model

Abstract

We study $I=3/2$ elastic $K\pi$ scattering to Born order using nonrelativistic quark wavefunctions in a constituent-exchange model. This channel is ideal for the study of nonresonant meson-meson scattering amplitudes since s-channel resonances do not contribute significantly. Standard quark model parameters yield good agreement with the measured S- and P-wave phase shifts and with PCAC calculations of the scattering length. The P-wave phase shift is especially interesting because it is nonzero solely due to $SU(3{)}_f$ symmetry breaking effects, and is found to be in good agreement with experiment given conventional values for the strange and nonstrange constituent quark masses.

12 pages + 2 postscript figures, Revtex, MIT-CTP-2108

Cited by in corpus (33)

• Kaon-Nucleon Scattering Amplitudes and Z${}^{\ast }$-Enhancements from Quark Born Diagrams
• Distinguishing Among Strong Decay Models
• Cross Sections for pi- and rho-induced Dissociation of J/psi and psi'
• Heavy Quarkonium Dissociation Cross Sections in Relativistic Heavy-Ion Collisions
• Dbar-N interaction from meson-exchange and quark-gluon dynamics
• Dissociation of a Heavy Quarkonium at High Temperatures
• NN Core Interactions and Differential Cross Sections from One Gluon Exchange
• Mass spectrum and strong decays of tetraquark $\bar{c}\bar{s}qq$ states
• Meson-Meson Scattering in the Quark Model: Spin Dependence and Exotic Channels
• BB Intermeson Potentials in the Quark Model
• Dissociation cross sections of ground-state and excited charmonia with light mesons in the quark model
• Singularity Structures in Coulomb-Type Potentials in Two Body Dirac Equations of Constraint Dynamics
• Strangeness fluctuations from $K-\pi$ interactions
• Chirally improved quark Pauli blocking in nuclear matter and applications to quark deconfinement in neutron stars
• Resolving the puzzling decay patterns of charged $Z_c$ and $Z_b$ states
• The Relativistic N-body Problem in a Separable Two-Body Basis
• ππ, Kπand πN potential scattering and a prediction of a narrow σmeson resonance
• Charmonium-Nucleon Dissociation Cross Sections in the Quark Model
• KN and KbarN Elastic Scattering in the Quark Potential Model
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Cross sections for meson-meson nonresonant reactions
• Chiral Nonet Mixing in $\pi K$ Scattering
• Kaon-nucleon and D-nucleon scattering in the quark model, including spin-orbit interactions
• Temperature dependence of cross sections for meson-meson nonresonant reactions in hadronic matter
• Cross sections for inelastic meson-meson scattering
• Baryon Spectrum Analysis using Dirac's Covariant Constraint Dynamics
• Cross sections for 2-to-1 meson-meson scattering
• Cross Sections for Inelastic 2-to-2 Meson-Meson Scattering in Hadronic Matter
• Inversion Potentials for Meson-Nucleon and Meson-Meson Interactions
• Study of X(1812) as a $(K^{\ast }{\bar{K}}^{\ast })$ Molecular State
• Cross sections for 2-to-3 meson-meson scattering
• Hadronic Molecules and Scattering Amplitudes from the Nonrelativistic Quark Model
• ${\bar{D}}^0{D}^{0\ast }$ $(D^0{\bar{D}}^{0\ast })$ System in QCD-Improved Many Body Potential