[en] Analytical expressions for integrals involving functions of the Woods-Saxon type raised to the power of q are given. These are expected to be of immediate application in optical model studies and for obtaining various moments of the potential having such shapes. (author)

[en] We construct a smooth realistic asymmetric potential barrier in one dimension by using generalized Woods-Saxon potential. Transmission amplitude and reflection amplitude for this potential are expressed analytically in terms of the characteristics of the barrier, namely, height, range, slope and flatness. Transmission co-efficient (T) and reflection co-efficient (R) are oscillatory in nature when the incident energy greater than the height of the barrier for specific combination barrier parameters. Like rectangular barrier and Ginochhio potential barrier these oscillations in T and R are referred as above barrier resonances (ABR). The results of transmission resonance are proved due to the flatness at the top of the barrier. Resonances as well as various states of this potential are investigated for a large combination of parameters. (author)

[en] The Dirac equation for the deformed Woods-Saxon potential is converted to a form that is nearly similar to the Schroedinger equation by using the similarity transformation. The resulting equation is a simple one and is ready to be used directly by the asymptotic iteration method to find the solution of the problem under consideration. (authors)

[en] A method to identify all the S-matrix poles for a finite range potential is presented. The method is applied in the case of a square potential. A new class of resonant states is found and its properties are investigated. The study is extended to the Woods-Saxon and to the Woods-Saxon (square) well plus Coulomb barrier potentials.(authors)

[en] Quasimolecular optical potentials used for identical nuclei have been modified for application to different interacting nuclei. This has been applied to the ²⁸Si–¹⁶O system and compared with those results using the Woods–Saxon potential that had been found to reproduce the experimental results. The result indicates that the modification is useful and provides information on nuclear properties and explains the origin of imaginary potential. It has the applicability to a wide range of nuclei. (author)

[en] Based on the method of matched asymptotic expansions, approximate wave functions, penetration factor, shift function and reduced width for the Woods-Sanxon well plus Coulomb barrier potential are obtained taking a/R₀ as a small parameter. (authors)

[en] The relativistic description of the proton-nucleus elastic scattering can be considered within the framework of a relativistic optical potential model. The elastic scattering of proton with the nuclei ¹²C, ¹⁶O, ²⁰Ne, and ²⁴Mg at 800 MeV and 1.04 GeV are studied for relativistic and nonrelativistic treatments. The real optical potentials and the differential cross sections of these reactions are calculated. The obtained results are compared with the corresponding results obtained from the calculation depending on the Woods–Saxon optical potential which were adjusted to fit the experimental data. The present results are in good agreement with the experimental data. (author)

[en] The recent developments of the concept of single particle states are outlined. The modern approaches as well as the main trends of further investigation are briefly considered as offering the ground for the simpler treatments, required when a large amount of data are to be sistematically explained. Finally the results of several recent analyses of the experimental binding energies of single particle states for light and medium weight nuclei, in the frame of the Woods-Saxon potential are presented. These analyses show that the optical potential binding various states, changes smoothly from nucleus to nucleus and, with a proper parametrization of the depth of the potential as function of atomic mass A and the proton-neutron assimtery (N-Z)whole range of nuclei, are well reproduced. (author)

No abstract available

[en] There is a singularity in the classical deflection function of many potentials. In particular, the potentials used to characterize scattering of nuclei fall into this class. There is however a scattering energy above which this singularity in the defection function disappears. This energy is the critical energy. This energy divides elastic scattering into two regimes. Above the critical energy one might expect to see nuclear rainbows and negative angle scattering. Below it one would expect to see phenomena associated with nuclear orbiting. The authors are beginning a study of critical energies of different systems. For this study they will be using folding model potentials calculated by the same method used by Satchler and Love