Marchenko method with incomplete data and singular nucleon scattering

Abstract

We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a $\beta /r^2$ type repulsive core and comparing our results to the Reid93 phenomenological potential we estimate the constant $\beta$, determining the singularity strength, in various spin/isospin channels. Instead of using Bargmann type S-matrices which allows only integer singularity strength, here we consider an analytical approach based on the incomplete data method, which is suitable for fractional singularity strengths as well.

arXiv comment20 pages, 8 figures, published version

References in corpus (17)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Construction of high-quality Nucleon-Nucleon potential models
• Nuclear Force from Lattice QCD
• Partial-Wave Analysis of Nucleon-Nucleon Elastic Scattering Data
• Nuclear Force from Lattice QCD
• Holographic Deuteron and Nucleon-Nucleon Potential
• Phase equivalent chains of Darboux transformations in scattering theory
• The nuclear force in the third millennium
• Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
• Application of the operator product expansion to the short distance behavior of nuclear potentials
• The repulsive core of the NN potential and the operator product expansion
• Hadron Interactions from lattice QCD
• One-dimensional inverse scattering and spectral problems
• Neutron-proton scattering and singular potentials
• Inverted approach to the inverse scattering problem: complete solution of the Marchenko equation for a model system