Analysis of inelastic scattering of3He on14C at 37.9 MeV

Study of 3 He inelastic scattering on 13 C and 14 C at 37.9 MeV

“…In the case of 14 C, the deformation parameters extracted from the present calculation are different with those obtained by the analysis of the inelastic scattering of 3 He from 14 C in Ref. [13]. The equivalent folded transition FF leads in most of cases to smaller cross sec-tions.…”

“…To study the elastic scattering for the reactions of 3 He-particles with 13 C and 14 C, the program code DF-POT [14] has been used. V F (r) is the DF potential carried out by introducing the effective NN interaction over the ground state density distribution of the two colliding nuclei.…”

“…where E is the energy in the center of mass system and A is the mass number of the projectile. In our calculations, the nuclear matter density distribution of 3 He nucleus has the form ρ = ρ 0 exp(−αr 2 ) where α = 0.5505 fm −2 , ρ 0 = 0.2201 fm −3 [15], and it is assumed that the modified oscillator density parameters for both 13 C and 14 C compiled in Ref. [16].…”

“…The fitted FF normalization parameters with real volume integrals and imaginary WS parameters [4] listed in Table 1 are used to calculate the inelastic scattering potential by calculating the derivative of the real elastic potential multiplied by a deformation parameter β λ , where λ is the multi-polarity. So the transition potential for a given excited state is Here, the transition form factors for the inelastic scattering of 3 He to the different states in 13 C and 14 C are calculated using the folding model together with real deformation parameters (β r ) which produce the best fit of the inelastic scattering data for real equivalent folded transition FF respectively.…”

“…The aim of the present work is to derive the FF for the reaction 3 He-13 C and 14 C on a physical basis by folding the 3 He density into 13 C and 14 C density and an integral form of NN interaction. The derived FF is used to analyze the elastic and inelastic scattering of 3 He with an energy of 37.9 MeV leading to the excitation of 13 C levels, 3.68 MeV (3/2 − ), 3.85 MeV (5/2 + ), 8.84 MeV (1/2 − ), 11.85 MeV (7/2 + ) [12] and 14 C levels 6.73 MeV(3 − ), 7.01 MeV (2 + ), 8.32 (2 + ) MeV [13]. We analyzed inelastic scattering to known low-lying states to test the ability of calculations to predict the angular distributions and the strength of these states.…”