2020/03/12 by R. Yarmukhamedov, Yarmukhamedov, R., K. I. Tursunmakhatov +1
Earth and Planetary Sciences · Physics and Astronomy · #Atmospheric Ozone and Climate #Atomic and Molecular Physics #FOS: Physical sciences #Neutrino Physics Research #Nuclear Theory (nucl-th)
paper · pdf · doi:10.48550/arxiv.2003.06296
openalex publication_date 2020/03/12 · openalex created_date 2020/03/23 · openalex updated_date 2026/07/28
A new dispersion (asymptotic) theory is proposed for the peripheral sub- and above-barrier charged particle transfer A(x,y)B reaction in the three-body (A, a and y) model where x= y +a and B=A+a, and a is a transferred particle. It is based on the combination of the dispersion theory and the conventional DWBA method. The explicit forms have been derived for the exact three-body pole amplitude and differential cross section in which the contribution of the three-body (A, a and y) Coulomb dynamics of the transfer mechanism in the peripheral partial amplitudes, corresponding to partial waves with li>>1, is taken into account correctly. For the specific peripheral proton and triton transfer reactions, the comparative analysis of the peripheral partial amplitudes at li>>1 , which correspond to the one-step pole and exact three-body pole amplitudes as well as those of the "post"-approximation and the post form of the conventional DWBA, is performed with each other. It shows the absolute inapplicability of the "post"-approximation usually applied for getting an information about specific asymptotic normalization coefficients being astrophysical interest.