Nucleus-nucleus potential from the scattering data by quasi-classical inversion

Inverse scattering: applications in nuclear physics

“…Fixed-E inversion methods for application at higher energies based on the JWKB approximation and other semi-classical approximations have been developed, see Kujawski [18] and others [19]. For applications see Section 6.2.2.…”

OPTICAL POTENTIALS BY INVERSION FOR 16O ION ELASTIC SCATTERINGS AT Elab=1503 MeV

“…The connection between the optical potential and data (primarily differential cross sections) is the scattering matrix. Recently, there are several attempts [1][2][3][4] to evaluate optical potential from parametrized phase shift. These approaches are to employ a phase shift obtained by fitting the elastic scattering angular distribution data, in the strong absorption model (SAM), and to determine the heavy-ion optical potential by solving the inverse scattering problem.…”

“…A practical solution of the inversion problems by using the quasi-classical limit of the high-energy approximation was reported. 1 Woods-Saxon type potentials with parameters which can be determined directly from the McIntyre parametrization of the phase shift, for heavy-ion collision were obtained from solving the inversion problem. 2 Eldebawi and Simbel 3 analyzed the elastic scattering of 12 C+ 12 C at E lab =139.5 ∼ 2400 MeV and of 16 O+ 16 O at E lab =608 MeV by using the simple Ericson parametrization of the phase shifts and obtained the corresponding optical potentials by the Glauber approximation.…”

PHASE-SHIFT ANALYSIS AND FIRST-ORDER EIKONAL CORRECTION TO OPTICAL POTENTIAL BY INVERSION FOR 16O+28SI ELASTIC SCATTERING AT Elab=1503 MEV

“…3 -4 Recently, several inversion scattering problems of evaluating optical potential from parametrized phase shift were performed. [5][6][7] A practical solution of the inversion problems using the quasi-classical limit of the high-energy approximation is reported. 5 Woods-Saxon type optical model potentials with the parameters that can be determined directly from the Mclntyre parametrization of the phase shift, for heavy ion collision, were obtained from solving the inversion scattering problem.…”

“…[5][6][7] A practical solution of the inversion problems using the quasi-classical limit of the high-energy approximation is reported. 5 Woods-Saxon type optical model potentials with the parameters that can be determined directly from the Mclntyre parametrization of the phase shift, for heavy ion collision, were obtained from solving the inversion scattering problem. 6 The inversion procedure applied to Ericson's parametrized phase shifts was also performed by using the Glauber's approximation and was used to deduce local potentials describing the angular distributions of elastic scattering of 12 C+ 12 C systems at diverse energies.…”