Four-nucleon scattering in the K-matrix approach with improved treatment of the (2+2) channels

S. A. Sofianos, H. Fiedeldey, and W. Sandhas
Phys. Rev. C 32, 400 – Published 1 August 1985
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Abstract

The cross sections for elastic and rearrangement four-nucleon reactions have been calculated above the breakup threshold in the K-matrix approximation to the Grassberger-Sandhas integral equations. In the first order K-matrix approximation we find that the H2(d,p)3H and H2(d,n)3He cross sections at low energies are sensitive to the properties of the nuclear force and to its tensor component even at higher energies. At higher energies good agreement is obtained with experiment, but there is quantitative and qualitative disagreement with the data at lower energies. We also performed K-matrix calculations including the principal value part of the (2+2) propagators by means of the generalized-unitary-pole-expansion/energy-dependent-pole-expansion for the (2+2) subamplitudes. At lower energies this improved the agreement with data in the H2(d,n)3He reaction considerably, and in the case of p+3He elastic scattering even resulted in a spectacular improvement in the forward direction. The lack of structure in the differential cross section [e.g., absence of a second maximum in the H2(d,n)3He cross section] persisted, however. This qualitative disagreement is probably mainly due to the omission of the contribution of the p-wave three-body subsystem amplitude in the calculations.

  • Received 19 February 1985

DOI:https://doi.org/10.1103/PhysRevC.32.400

©1985 American Physical Society

Authors & Affiliations

S. A. Sofianos and H. Fiedeldey

  • Physics Department, University of South Africa, Pretoria, 0001, South Africa

W. Sandhas

  • Physikalisches Institut, Universitat Bonn, D-5300 Bonn 1, Federal Republic of Germany

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Issue

Vol. 32, Iss. 2 — August 1985

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