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Abstract
The variational moment approach for the neutrons scattering analysis by 60Cu nucleus within the energy range (60-80) MeV is applied to the construction of the complex single-particle mean field felt by neutrons in 60Cu, starting from negative energy values to the positive energy values. The experimental data of the scattering neutron has been analysis by using one of the methods for optical dispersion model which depending on the afferent between the real and imaginary parts and this led to a derivation decrease in determining the optical parameters from the experimental data. Also on the stripe expending of the real potential parameters from high energy to low energy to the close area of the Coulomb barrier which characterized the lack of information about the experimental data for each, using the program SPI-GINOA in order to determine the value of the volume integral for the real and imaginary parts (surface and volume). The Value of the volume integral for the real part and integrals oh – Fock was pointed and then determined the value of real part of the potential Hartree – fock potential. In addition we also has been determined the imaginary potential (two parts the surface and the volume) and studied on function of energy for all the specific pointed ingredients. The potential dispersion was determined (surface – volume) and studied their functional energy. Therefore, we determined the radius neutron optical model and also we found its energy way match close to what reveal the correctness of method of dispersive optical model at one hand, and the accuracy in the determination of optical model parameters at other hand.
Highlights
The nuclear optical model potential is of the fundamental importance concepts in the nuclear physics
The present paper aims at presenting the variational moment approach (VMA) of the neutrons scattering by EFCu nucleus and comparing the results with these resulting from global parametrization of the optical model potential and available experimental data within energy range (60-80) MeV and its extend to the reliable low and high energy domain from the studied energy range according to evaluated fitting methodology
The energy dependence of the volume integral per nucleon of the real part of the mean field obtained using dispersion relations with its HF approximation of the nonlocal potential for bound and unbound energies are compared with these resulted from global parameterizations of the optical potential and with these resulted from the single fits of the potential parameters of the experimental data [16] according to SPI program. as they are showed in the Figure 4
Summary
The nuclear optical model potential is of the fundamental importance concepts in the nuclear physics It describes the motion of one nucleon, bound or unbound, in the mean field of all the other nucleons comprising the nucleus. The field due to the sum of all the individual nucleon-nucleon interactions is represented by a simple one-body potential. This approximation greatly simplifies the calculation of a wide range of nuclear structure and nuclear reaction phenomena, in addition to the excellent agreement with experimental data [1]. The application of the concept of the nuclear mean field is for understanding the properties of bound single-particle states and for elastic scattering of unbound nucleons [1,2,3]. The phenomenological optical model potential for nucleon-nucleus scattering, , is defined as [2,3,4,5,6,7,8]:
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