Reconstructing the Nucleon-Nucleon Potential by a New Coupled-Channel Inversion Method

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.152301· OSTI ID:21550296

Pupasov, Andrey; Samsonov, Boris F ^[1]; Sparenberg, Jean-Marc; Baye, Daniel ^[2]

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1. Physics Department, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk (Russian Federation)
2. Universite Libre de Bruxelles (ULB), Physique Nucleaire et Physique Quantique, CP 229, B 1050 Bruxelles (Belgium)

A second-order supersymmetric transformation is presented, for the two-channel Schroedinger equation with equal thresholds. It adds a Breit-Wigner term to the mixing parameter, without modifying the eigenphase shifts, and modifies the potential matrix analytically. The iteration of a few such transformations allows a precise fit of realistic mixing parameters in terms of a Pade expansion of both the scattering matrix and the effective-range function. The method is applied to build an exactly solvable potential for the neutron-proton {sup 3}S{sub 1}-{sup 3}D{sub 1} case.

• OSTI ID: 21550296
• Journal Information: Physical Review Letters, Vol. 106, Issue 15; Other Information: DOI: 10.1103/PhysRevLett.106.152301; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BREIT-WIGNER FORMULA
COUPLED CHANNEL THEORY
EXACT SOLUTIONS
MATRICES
NEUTRONS
NUCLEON-NUCLEON POTENTIAL
PROTONS
SCATTERING
SCHROEDINGER EQUATION
SUPERSYMMETRY
TRANSFORMATIONS
BARYONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HADRONS
MATHEMATICAL SOLUTIONS
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
SYMMETRY
WAVE EQUATIONS