The compositeness of near-threshold eigenstates with Coulomb plus short-range forces is determined solely by the Coulomb scattering length, effective range, and Bohr radius, with the Coulomb interaction qualitatively altering threshold behavior and internal structure compared to short-range cases.
Meson baryon components in the states of the baryon decuplet
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abstract
We apply an extension of the Weinberg compositeness condition on partial waves of $L=1$ and resonant states to determine the weight of meson-baryon component in the $\Delta(1232)$ resonance and the other members of the $J^P= \frac{3}{2}^+$ baryon decuplet. We obtain an appreciable weight of $\pi N$ in the $\Delta(1232)$ wave function, of the order of 60 \%, which looks more natural when one recalls that experiments on deep inelastic and Drell Yan give a fraction of $\pi N$ component of 34 \% for the nucleon. We also show that, as we go to higher energies in the members of the decuplet, the weights of meson-baryon component decrease and they already show a dominant part for a genuine, non meson-baryon, component in the wave function. We write a section to interpret the meaning of the Weinberg sum-rule when it is extended to complex energies and another one for the case of an energy dependent potential.
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Predictions of two states in u d-bar s cc, three in u d-bar s cb, and four in u d-bar s bb sectors plus virtual states, obtained via unitary coupled channels with off-diagonal binding dominance.
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Compositeness of near-threshold eigenstates with Coulomb plus short-range interactions
The compositeness of near-threshold eigenstates with Coulomb plus short-range forces is determined solely by the Coulomb scattering length, effective range, and Bohr radius, with the Coulomb interaction qualitatively altering threshold behavior and internal structure compared to short-range cases.
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Predicted Exotic Doubly Heavy-Strange Pentaquarks
Predictions of two states in u d-bar s cc, three in u d-bar s cb, and four in u d-bar s bb sectors plus virtual states, obtained via unitary coupled channels with off-diagonal binding dominance.