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Connection between quark-model eigenstates and low-energy scattering

1979/04/01 by R. L. Jaffe, F. E. Low · 1 citation
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #High-Energy Particle Collisions Research

paper · doi:10.1103/physrevd.19.2105

openalex publication_date 1979/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a new method of analyzing low-energy hadron-hadron scattering designed to reveal internal quark-gluon eigenstates. Our method is a modification of the Wigner-Eisenbud formalism suited to the case of confining boundary conditions. We have identified a matrix function of the energy (which we call P) whose poles and residues correspond to the masses and channel projections of quark-gluon eigenstates calculated with spherical bag boundary conditions. To illustrate the formalism we apply it to the low-energy S-wave scattering of pseudoscalar mesons. We find from the data clear evidence of internal states corresponding to quark-model predictions of Q2Q2 states at 0.69 and 1.04 GeV in the I=0 channel, at 0.96 GeV in the I=(1)/(2) channel, at 1.19 GeV in the I=(3)/(2) channel, and at 1.04 GeV in the I=2 channel. We believe the I=(3)/(2) and 2 internal states to be the low-energy exotics long predicted by quark models.

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