2025/12/08 by Lei, Jin · 1 citation
Physics and Astronomy · Chemistry · #Nuclear physics research studies #Crystallography and Radiation Phenomena #Advanced NMR Techniques and Applications
paper · doi:10.48550/arxiv.2512.07111
I present a direct boundary matching method (DBMM) for solving nuclear scattering problems using Lagrange-Legendre basis functions. This approach belongs to the family of bound-state techniques for the continuum, reformulating scattering problems into a localized, square-integrable (L2) representation. The key feature is the direct incorporation of the outgoing wave boundary condition into the last row of the matrix equation, eliminating the need for Bloch operators and two-step matching procedures required in traditional R-matrix methods. Unlike the complex scaling method that rotates coordinates into the complex plane, DBMM operates entirely in real coordinate space. The formalism is extended to coupled-channel problems, where the wave function decomposition naturally leads to an effective source potential that distinguishes between the entrance channel and other channels. Benchmark calculations for p~+~12C scattering demonstrate excellent agreement with the Numerov integration method.