✍ Scribed by R.K Bhaduri; B.A Loiseau; Y Nogami
No coin nor oath required. For personal study only.
Effects of the two-pion-exchange ANN force on the binding energies of IHe and :H are examined in detail. This ANN force W consists of two parts: w = w, + w, ) where W, and W, are due to the p-wave and s-wave P-A interaction, respectively. For W, , the effect of Y,* ( 1385) is also taken into account. For W," , a suppression factor of the s-wave ?r-A interaction is introduced in analogy to the n-N case. Since we do not know the short-range part of the ANN force, we introduce a cutoff radius d and W is set to be zero for AN distances less than d. The effect of W, in :He is found to be repulsive and quite appreciable. For instance, for d = lF, it reduces the binding energy of jHe by about 2 MeV. This results in a substantial reduction in the overbinding of :He that was obtained when only a two-body AN force was used that fitted Alexander et al.% low-energy scattering parameters. Bulk of this contribution comes from the "tensor part" of W, which has been ignored in previous works. W', is unimportant provided the s-wave suppression factor is 10 or more. The ANN force plays only a minor role in :H.
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