Binding energies of the light hyperfragments

Summary  The purpose of the present paper is to determine the constants of a phenomenological potential assumed for the λ0-nucleon interaction by fitting them to the observed binding energies of the mass 3 and 4 hyperfragments. Variational calculations have been carried out for these hyperfragments and hyperhelium-5. The calculations indicate that the λ0-n,ucleon force is strongly spin dependent, and also that the hypertrineutron and hyperhelium-3 are not bound. The chief assumptions that have made are: (a) the spin of the λ0 is 1/2; (b) the hyperdeuteron is not bound; (c) the λ0-nucleon interaction arising from the virtual exchange of heavy mesons may be represented by the assumed phenomenological potential (any possible pion admixture resulting from the virtual exchange of at least two pions between the λ0 and nucleon being neglected) ; (d) all but the principalS-states of the hyperfragments with mass numbers less than or equal to five may be neglected; (e) the nucleonnucleon interaction is represented by the central Yukawa interaction. The last three assumptions are rather severe and imply that the present calculations are to be considered as preliminary to a more complete investigation, in which the tensor interaction between nucleons and also the pion admixture of the λ0-nucleon force are included.