A theoretical approach for investigating the nonrelativistic repulsive optical potential involved in neutron–nucleus scattering

For the first time, we present a theoretical formulation to determine the nonrelativistic repulsive optical potential relative to neutron–nucleus interaction in terms of the s-wave coherent scattering amplitude and the radius of the nucleus which is regarded as a spherical infinite potential well. Within this context, the Fermi velocity is determined in excellent agreement with the Fermi velocity obtained from considerations relative to nuclear density obeying the Saxon–Woods distribution. Assuming this distribution, the force relative to the neutron–nucleus interaction is calculated. Aspects related to the involved chemical potential are discussed. Our results are consistent with previous work. (author)