New approach toward a direct evaluation of the multichannel multienergy S matrix without solving the scattering equations

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.064003· OSTI ID:21388575

Rubtsova, O A; Kukulin, V I; Pomerantsev, V N; Faessler, Amand ^[1]

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1. Institute of Nuclear Physics, Moscow State University, 119991 Moscow (Russian Federation)

A novel method which allows us to find observables at many energies simultaneously in a multichannel scattering problem using just a single diagonalization of the total Hamiltonian matrix in some L{sub 2} basis is developed. The approach is based on the multichannel generalization of ideas due to Lifshits and Birman-Krein on the tight relationship between a spectral shift function and a single-channel S matrix in the combination with L{sub 2} discretization of the continuum. As a clear illustration for the efficiency of the suggested method, the differential cross sections of neutron scattering off heavy nuclei in the case of a complex nonlocal interaction potential as well as energy dependence of partial NN phase shifts and mixing parameters for the two-nucleon scattering with tensor force are calculated.

• OSTI ID: 21388575
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 81; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
COHERENT SCATTERING
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFRACTION
ELEMENTARY PARTICLES
ENERGY DEPENDENCE
EQUATIONS
FERMIONS
HADRONS
HAMILTONIANS
HEAVY NUCLEI
INTERACTIONS
MATHEMATICAL OPERATORS
MATRICES
MIXING
NEUTRON DIFFRACTION
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
PHASE SHIFT
POTENTIALS
QUANTUM OPERATORS
S MATRIX
SCATTERING
SPECTRAL SHIFT
TENSOR FORCES