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We unify the three distinct inequality sequences (Abramowitz and Stegun (1972) [1, 9.5.2]) of positive real zeros of Bessel functions into a single one.
Potentials providing the same complex phase shifts as a given complex potential but with a shallower real part are constructed with supersymmetric transformations. Successive pairs of transformations… (More)
The Cox?Thompson inverse scattering method at fixed energy has been generalized to treat complex phase shifts derived from experiments. New formulae for relating phase shifts to shifted angular… (More)
The article gives a concise review on methods for solving the inverse scattering problem of coupled reaction channels in quantum mechanics at fixed energy and presents specific applications to… (More)
We present a method for the quantum mechanical inverse scattering problem at fixed energy for coupled channels in reactions with composite particles as clusters or nuclei having internal degrees of… (More)
By using the modified Newton-Sabatier inversion method, a model independent local potential is presented which describes elastic scattering of two12C nuclei at c.m. energy ofE=14.1 MeV. Only the… (More)
A Cox–Thompson fixed-energy quantum inverse scattering method is developed further to treat long-range Coulomb interaction. Depending on the reference potentials chosen, two methods have been… (More)
As ystem ofnonlinear equations is presented for the solution of the Cox– Thompson inverse scattering problem (1970 J. Math. Phys. 11 805) at fixed energy. From a given finite set of phase shifts for… (More)