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Pion Contribution to Hyperon-Nucleon Forces

1957; American Institute of Physics; Volume: 107; Issue: 6 Linguagem: Inglês

10.1103/physrev.107.1714

1536-6065

D. B. Lichtenberg, Marc Howard Ross,

Nuclear Physics and Applications

A calculation is made of the forces between hyperons and nucleons under the assumption that the forces are due to the exchange of pions. The $\ensuremath{\Lambda}$ and $\ensuremath{\Sigma}$ are assumed to have spin \textonehalf{} and the same parity. The Hamiltonian is taken to be the same as the static-model pion-nucleon Hamiltonian except for differences in isotopic spin and possibly in the strength of the coupling. The same approximations are made as those ordinarily made in evaluating the nucleon-nucleon potential, although it is noted that in case all the pion-baryon coupling constants are equal, the hyperon-nucleon potentials are just linear combinations of the observed nucleon-nucleon potentials. The pion-hyperon coupling constant is determined by comparison with potentials obtained from analysis of hyperfragment data. The resulting value is about the same as the pion-nucleon constant. The elastic hyperon-nucleon and $\ensuremath{\Lambda}+N\ensuremath{\leftrightarrow}\ensuremath{\Sigma}+N$ scattering cross sections are evaluated. Results are consistent with experiment.