Theory of Quasielastic Scattering of Nucleons on Nuclei in the Distorted Wave Approximation | Chapter 5 | Current Research Progress in Physical Science Vol. 6

 

The expression for the differential cross section of nucleon knockout from nuclei by quasi-elastic scattering was obtained in analytical form. The distorted wave function of incident nucleons was obtained in a three-dimensional representation. Due to the fact that we consider the direct interaction of incident nucleons of intermediate and high energies in multiple scattering, in which the influence of the Coulomb interaction on the angular distribution of scattered particles is insignificant, which allows us to apply the proposed theory to reactions (n,np), (p,np), (p,2p) and (n,2n).

Using this theory, the three-fold differential cross section of incident protons with an energy of 1 GeV on nuclei ¹⁶O and ¹²C was calculated.  The obtained results are compared with the experiment.

The differential cross-section was calculated for the knockout of protons from the 1p and 1s subshells, which makes it possible to determine the orbital moments of these nucleons in nuclei before scattering from the angular distribution of emitted protons.

In addition, the mechanism of excitation of the residual nucleus after knocking out nucleons from nuclei was considered. It turned out that the swelling of the nucleus is a consequence of the rearrangement of nucleons at energy levels on the surface of the target nucleus, i.e. the transition of nucleons to a higher energy level. The differential cross section for quasi-elastic scattering of protons was calculated also for excited nuclei ¹⁶O and ¹²C. It was found that the nucleus ¹⁶O can emit protons from the levels 1P_3/2, 1P_1/2, 1S_1/2 and the nucleus ¹²C - from the 1P_3/2 and 1S_1/2 levels. The work presents the energies calculated for single-particle levels in nuclei and for the corresponding values of the oscillator parameter, as well as the energy of the excited hole state. In addition, for comparison, the experimental values of the energy of single-particle levels are also presented.

 

Author (s) Details

 

Mirteimour Mirabutalibov
Department of Physics, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan.

 

Mina Aliyeva
Department of Physics, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v6/2097