Lagrange-mesh R-matrix method for inhomogeneous equations

The Lagrange-mesh R-matrix method is generalized to inhomogeneous equations. This method is numerically stable and efficient. It can be directly used for transfer reactions with the formalism discussed by Ascuitto and Glendenning [Phys. Rev. 181 , 1396 (1969)] and for inclusive breakup reactions modeled by Ichimura, Austern, and Vincent [Phys. Rev. C 32 , 431 (1985)]. We first present a simple example to assess the method. Then the application to the Nb-93(d , pX ) nonelastic breakup is discussed.