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- W71249122 abstract "The hypothesis is made that the sum of the imaginary parts of the baryonic Regge contributions to exotic meson-baryon scattering amplitudes must vanish. This hypothesis is combined with the assumptions that all coupling constants satisfy exact $mathrm{SU}(3)$ symmetry and that the $ensuremath{Sigma}ensuremath{-}ensuremath{Lambda}$ mass splitting cannot be neglected, so that the $ensuremath{Sigma}$ and $ensuremath{Lambda}$ lie on different Regge trajectories. All possible partitions of the spin-parity-${frac{3}{2}}^{ensuremath{-}}$ $ensuremath{Lambda}'mathrm{s}$ and $ensuremath{Sigma}'mathrm{s}$ (belonging to an octet, singlet, and decuplet) into the two trajectories are considered. A set of consistency equations is derived, and all solutions are obtained. If the $ensuremath{Lambda}(1520)$ is the only odd-parity hyperon on the bottom [$ensuremath{Lambda}(1115)$] trajectory, and the $ensuremath{Lambda}(1690)$ and one or two $ensuremath{Sigma}'mathrm{s}$ lie on the top trajectory, there is only one solution. In this solution, there is no odd-parity decuplet, the $frac{F}{D}$ ratios of the couplings to mesonbaryon states of the ${j}^{P}={frac{1}{2}}^{+} mathrm{and} {frac{3}{2}}^{ensuremath{-}}$ trajectories are 1, and the singlet-octet mixing angle of the ${frac{3}{2}}^{ensuremath{-}}$ $ensuremath{Lambda}'mathrm{s}$ is $ensuremath{theta}=invtanensuremath{surd}frac{1}{2}$. This solution is in approximate agreement with experiment." @default.
- W71249122 created "2016-06-24" @default.
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- W71249122 date "1970-01-01" @default.
- W71249122 modified "2023-10-18" @default.
- W71249122 title "Exchange Degeneracy andΣ−ΛSplitting" @default.
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- W71249122 doi "https://doi.org/10.1103/physrevd.1.254" @default.
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