The Lagrange-mesh R-matrix method for inhomogenous equations

Abstract

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 ${}^{93}$Nb($d$,$pX$) non-elastic breakup is discussed.

7 pages, 6 figures

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• The R-matrix theory
• Reexamining closed-form formulae for inclusive breakup: Application to deuteron and ${}^6$Li induced reactions
• An R-matrix package for coupled-channel problems in nuclear physics
• Numerical assessment of post-prior equivalence for inclusive breakup reactions
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• Inclusive breakup calculations in angular momentum basis: application to ${}^7$Li+${}^{58}$Ni

Cited by in corpus (2)

• Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition
• Application of the Lagrange mesh method in continuum-discretized coupled-channels calculations