Effects of in-medium NN cross section and density distribution on the reaction cross sections of Ne, Mg, and O isotopes with C12 at 1 GeV

Nucleon-nucleon phase variation and in-medium effects on elastic scattering cross sections

“…In the present work, the total NN cross section and differential cross sections of nucleon-nucleus and nucleus-nucleus elastic scattering at different bombarding energies are calculated. Two different effects are studied in the present work: (i) The effect of the in-medium factors f m (np), equation (33), and f m (nn), equation ( 34), (ii) The phase variation effect of the effective NN scattering amplitude, equation (19). We will use the nucleus-nucleus potential within the HEA OP [36,37] on the basis of the eikonal phase inherent in the optical limit of the Glauber theory.…”

“…The NN cross section at different energies is calculated by using the first two terms σ (2) (mb) and the first three terms σ (3) (mb) of the series given in equation (26) to study the phase variation effect. So, the ratio of the real to the imaginary parts of the forward NN scattering amplitude ρ, the NN slope parameter β NN , equation (18), and NN the phase variation η, equation (19), are calculated.…”

“…The calculations focus on incorporating the phase variation to the elastic differential cross sections. The phase variation parameter is not taking into consideration as an adjustable parameter, but it is considered as a calculated parameter, equation (19). The in-medium effect is also used for the calculations of the elastic differential cross sections.…”

“…Theoretically, the medium NN cross section can be calculated by solving the many-body Bethe-Goldstone (BG) equation, namely G matrix cross section [13,14]. Many authors [15][16][17][18][19][20][21][22] have studied medium effect of NN cross section. Based upon the Bonn A NN interactive potential and Dirac-Brueckner approach for nuclear matter, in-medium NN cross sections were calculated by Li and Machleidt [15,16] for the incident energies from 50 to 300 MeV in a laboratory frame.…”