Quantum diffraction grating: A possible new description of nuclear elastic scattering

Abstract

The problem of discontinuous functions and their representations in the form of Legendre polynomial series in quantum nuclear scattering theory is presented briefly. The problem is quite old yet not adequately explained in numerous Quantum Theory textbooks and sometimes not correctly understood by physicists. Introduction of the generalized functions into the quantum scattering theory clarifies the problem and allows to propose new interpretations of nuclear elastic scattering phenomenon. The derived new forms of the full elastic scattering amplitudes and possibility of splitting them suggest existence of dynamical quantum diffraction grating around the nuclei. Particularly important fact is that this grating existing in the space around the nucleus makes considerable contribution to the experimental elastic differential cross section. All these might be quite important in analyses of nuclear elastic scattering data and so require to be stated in a more detailed and clear way.

A study of 12c +12c nuclear reaction using a new M3Y-type effective interaction

“…The characteristics of the nuclear reactions induced by nucleons or nuclei are summarized in distributions of reaction products called cross-sections [1]. Nuclear reactions are studied in nuclear scattering experiments, among which elastic scattering is believed to be the simplest [2][3][4] because it involves very little rearrangement of matter and energy [5]. This process has been studied in a large number of theoretical and experimental investigations for more than forty years, so a huge body of elastic cross-section data is currently available [5].…”

Global relativistic folding optical potential and the relativistic Green's function model

“…Such global potentials are fully phenomenological; just fitted to data assuming smooth and reasonable shapes for the different ingredients (volume and surface terms), they describe elastic proton-nucleus scattering observables at a similar good level, but they exhibit rather different sizes and shapes, at times even rather odd shapes, of the imaginary part. As said, elastic observables constrain the OP only to a certain extent and, in particular, the imaginary part derived from fits to data may be very sensitive to small details of the way the fit to data is performed [23]. The different imaginary parts do not affect significantly elastic observables, but they mean different inelastic contributions and, therefore, sizable differences and theoretical uncertainties when these different OPs are employed to compute RGF predictions.…”