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- W1551166135 abstract "The binding-energy data of the s-shell hypernuclei and the low-enery Λp scattering data are analysed in terms of a simple model which employs both a Λ-nucleon (ΛN) and a Λ-nucleon-nucleon (ΛNN) potential. The ΛN potential is chosen to be central, with a hard core of radius 0.45 fm and an intrinsic range of 2.0 fm, and to have a charge-symmetry-breaking component. Two types of ΛNN potential are considered in this investigation, one being a phenomenological central potential and the other being the strongly non-central potential obtained by Bhaduri, Loiseau and Nogami using a two-pion-exchange mechanism. The ΛN potential fitted to the BΛ values for Λ3H, Λ4H and Λ4H and Λ4He and to the Λp scattering data (total cross sections and forward-backward asymmetries) has a rather small degree of spin dependence and a strength in odd-parity states which is only 20–70% of that in even-parity states. This potential gives overbinding for Λ5He by more than 2 MeV. The effect on this overbinding problem of introducing a ΛNN potential into the analysis is carefully examined. It is shown that a repulsive central ΛNN potential does reduce the calculated value for BΛ(Λ5He) but that this is only by a negligible amount, for general reasons which are discussed. For the non-central ΛNN potential, it is found that a proper account of nucleon-nucleon correlations in the hypernuclear wave functions can modify its effect greatly, to an extent depending on the cut-off radius d adopted in this potential. For small values of d(0.45 to 0.7 fm), this non-central ΛNN potential actually increases the overbinding; for d⪆0.7 fm, it does give net repulsion but the reduction found in BΛ(Λ5He) is far too small to yield agreement between the calculated and experimental values." @default.
- W1551166135 created "2016-06-24" @default.
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- W1551166135 date "1972-10-01" @default.
- W1551166135 modified "2023-10-12" @default.
- W1551166135 title "Phenomenological study of s-shell hypernuclei with ΛN and ΛNN potentials" @default.
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- W1551166135 doi "https://doi.org/10.1016/0550-3213(72)90105-8" @default.
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