Solving the resonating-group equation on a Lagrange mesh

The resonating-group method allows treating reactions in a fully microscopic way. The non-local resonating-group equation can be accurately solved on a Lagrange mesh involving few mesh points. This mesh technique is combined with either the R-matrix method or the Hulthen-Kohn method. The forbidden states can be eliminated by a special treatment. The accuracy of the technique of solution is illustrated on a solvable non-local potential. Phase shifts for the alpha + n and alpha + p scatterings are calculated with both variants of the resonating-group method on a Lagrange mesh and a comparison is performed between them and the equivalent generator-coordinate method. (C) 2002 Elsevier Science B.V. All rights reserved.