The inverse scattering problem with energy-dependent separable potentials and its application to theS-wave nucleon-nucleon interaction

1980 ◽  
Vol 29 (10) ◽  
pp. 335-338 ◽  
Author(s):  
H. Garcilazo ◽  
R. R. Wilde
Keyword(s):  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Separable Potentials ◽  
Nucleon Nucleon Interaction ◽  
Energy Dependent

The Nuclear Three Body Problem with Phase Equivalent Separable Interactions

1975 ◽  
Vol 53 (18) ◽  
pp. 1749-1763 ◽  
Author(s):  
N. J. McGurk ◽  
H. Fiedeldey
Keyword(s):  
Binding Energy ◽  
Scattering Length ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Triton Binding Energy ◽  
Nucleon Interaction ◽  
Global Features ◽  
Nucleon Nucleon Interaction

The triton ground state energy and the neutron–deuteron doublet scattering length have been calculated with two families of phase equivalent separable interactions in the 1S0 and 3S1–3D1 states of the nucleon–nucleon interaction. Generating the interactions from a solution of the inverse scattering problem, a separable representation of the nucleon–nucleon interaction is fully exploited to fit the scattering and bound state data as well as possible. Off shell constraints on the interactions are then discussed. Results for the three nucleon quantities are compared to those obtained with realistic local and one boson exchange potentials. It is shown that all results for potentials obeying the known off shell constraints lie on the Phillips band, which appears to be independent of the potential model employed. This is a consequence of the fact that the triton binding energy and doublet scattering length are only sensitive to the broad detail of the nucleon–nucleon S matrix in the 1S0 and 3S1–3D1 states and to certain global features of the residues at the singlet deuteron and deuteron poles. Relatively large off shell variations in the triton binding energy and doublet scattering length along this Phillips band are possible and the plausibility that the experimental values could be fitted is discussed.

scholarly journals Nuclear response at zero and finite temperature

2019 ◽  
Vol 223 ◽  
pp. 01033
Author(s):  
Elena Litvinova ◽  
Peter Schuck ◽  
Herlik Wibowo
Keyword(s):  
Finite Temperature ◽  
Nucleon Nucleon ◽  
Many Body ◽  
Nucleon Interaction ◽  
Medium Mass ◽  
Recent Developments ◽  
Nucleon Nucleon Interaction ◽  
Energy Dependent ◽  
Finite Nuclei ◽  
Nuclear Response

We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time propagators of the particle-hole type, which describe the response of finite nuclei to external probes without nucleon transfer. The general theory is formulated in terms of the equation of motion method for these propagators with the only input from the bare nucleon-nucleon interaction. The numerical implementation was performed on the basis of the effective mason-nucleon Lagrangian in order to study the energy-dependent kernels of different complexity. The finite-temperature extension of the theory with ph ⊗ phonon configurations is applied to a study of the multipole response of medium-mass nuclei.

scholarly journals Nucleon-nucleon interaction in theJ-matrix inverse scattering approach and few-nucleon systems

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
A. M. Shirokov ◽  
A. I. Mazur ◽  
S. A. Zaytsev ◽  
J. P. Vary ◽  
T. A. Weber
Keyword(s):  
Inverse Scattering ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Matrix Inverse ◽  
Nucleon Nucleon Interaction
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