Elsevier

Nuclear Physics A

Volume 343, July 1980, Pages 249-294
Nuclear Physics A

Four-nucleon problem in the integral equation approach: The binding energy of 4He and the n-3H and n-3He scattering lengths

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Abstract

Integral equations of motion for the system consisting of the four pair-wise interacting nucleons are formulated. The nucleon-nucleon interaction is characterized by a charge-independent, spin-and isospin-exchange central potential of the general (local or non-local) form. The derivation of the equations is performed on the basis of the Faddeev-Yacubovsky method taking the Pauli principle strictly into account. The equations obtained describe all possible processes in the four-nucleon system with the two-fragment initial asymptotic state, as well as the four-nucleon bound states. The calculations of the 4He binding energy and the n-3H and n-3He scattering lengths are carried out in the case of the separable rank-1 potentials with the application of the Bateman approximation for the subsystem scattering amplitudes. The correlations between the calculated quantities and their sensitivity to parameters of NN interaction are studied. The results are compared with the available experimental data.

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