138 research outputs found
Effective potential from zero-momentum potential
We obtain the centre-of-mass frame effective potential from the zero-momentum
potential in Ruijsenaars-Schneider type 1-dimensional relativistic mechanics
using classical inverse scattering methods.Comment: 24 pages, 10 figure
Marchenko method with incomplete data and singular nucleon scattering
We apply the Marchenko method of quantum inverse scattering to study nucleon
scattering problems. Assuming a type repulsive core and comparing
our results to the Reid93 phenomenological potential we estimate the constant
, 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.Comment: 20 pages, 8 figures, published versio
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