2014/09/19 by Th. A. Rijken, Rijken, Th. A. · 1 citation
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #nucl-th
paper · pdf · doi:10.48550/arxiv.1409.5593
arxiv created 2014/09/19 · openalex publication_date 2014/09/19 · arxiv updated 2014/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In these notes we construct the momentum-space potentials from configuration-space using for the Fourier-transformation the Gaussian-Expansion-Method (GEM). This has the advantage that the Fourier-Bessel integrals can be performed analytically, avoiding possible problems with the oscillations in the Bessel functions for large r, in particular for pf ≠ pi. The mass parameters in the exponentials of the Gaussian base-functions are fixed using the geometric progression recipe of Hiyama-Kamimura. The fitting of the expansion coefficients is linearly and very fast. Application to nucleon-nucleon is given in detail for the recent Extended-soft-core model ESC08c. The NN phase shifts obtained by solving the Lippmann-Schwinger equations agree very well with those obtained in configuration-space solving the Schrödinger equations.