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- W2019842311 abstract "A closed linear algebra involving vector and axial-vector currents and baryon interpolating fields (BIF) is constructed. In particular, the equal-time anticommutator of two BIF is assumed to be the most general expression linear in currents allowed by covariance and the discrete symmetries. The algebra is closed via the various Jacobi identities. Whenever possible we proceed in analogy with successful current-algebra concepts. The basic BIF considered here has spin $frac{3}{2}$ and is assumed to transform linearly under chiral SU(3). Its divergence can be used as a BIF for spin-textonehalf{} baryons. A Lagrangian model combining the massive Yang-Mills gauge field ${ensuremath{varphi}}^{ensuremath{mu}}$ and the Rarita-Schwinger field ${ensuremath{Psi}}^{ensuremath{nu}}$ is constructed. The canonical commutation relations of such a model imply that the equal-time anticommutator {${ensuremath{Psi}}^{0},{overline{ensuremath{Psi}}}^{ensuremath{mu}}$} contains a term proportional to ${ensuremath{varphi}}^{ensuremath{mu}}$. In a limiting case only this term remains. Soft-baryon theorems are derived from the algebra. In particular the $s$-wave scattering of soft nucleons from a target is calculated and agrees with the current-algebra soft-meson $s$-wave scattering lengths. Weinberg-like sum rules resulting from the algebra are also derived." @default.
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- W2019842311 date "1971-11-15" @default.
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- W2019842311 title "Closed Linear Algebra of Currents and Baryon Interpolating Fields" @default.
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- W2019842311 doi "https://doi.org/10.1103/physrevd.4.3124" @default.
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