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- W2161662003 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 ${Q}^{2}{overline{Q}}^{2}$ states at 0.69 and 1.04 GeV in the $I=0$ channel, at 0.96 GeV in the $I=frac{1}{2}$ channel, at 1.19 GeV in the $I=frac{3}{2}$ channel, and at 1.04 GeV in the $I=2$ channel. We believe the $I=frac{3}{2} mathrm{and} 2$ internal states to be the low-energy exotics long predicted by quark models." @default.
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- W2161662003 title "Connection between quark-model eigenstates and low-energy scattering" @default.
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- W2161662003 doi "https://doi.org/10.1103/physrevd.19.2105" @default.
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