Experimental and theoretical investigation of the $$^{13}$$C+$$^{119}$$Sn reaction dynamics

Abstract We report on the measurement and analysis of elastic scattering angular distributions for the $$^{13}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>13</mml:mn> </mml:mmultiscripts> </mml:math> C+ $$^{119}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>119</mml:mn> </mml:mmultiscripts> </mml:math> Sn system at two bombarding energies: 40.0 and 46.9 MeV. In addition, inelastic scattering and single-neutron transfer reactions were measured at 46.9 MeV. The data were obtained using the same experimental setup previously employed in the $$^{12}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>12</mml:mn> </mml:mmultiscripts> </mml:math> C+ $$^{119}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>119</mml:mn> </mml:mmultiscripts> </mml:math> Sn study, allowing for a direct comparison. Optical model analyses were performed using the São Paulo potential for the real part of the interaction, while the imaginary part was treated both phenomenologically and via normalization of the real potential. Coupled-reaction-channels calculations were carried out, including couplings to inelastic excitations and one-neutron transfer channels. This approach yielded an improved description of the elastic scattering data across the full angular range for both energies. A direct comparison with the $$^{12}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>12</mml:mn> </mml:mmultiscripts> </mml:math> C+ $$^{119}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>119</mml:mn> </mml:mmultiscripts> </mml:math> Sn results indicates that the additional neutron in $$^{13}\textrm{C}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>13</mml:mn> </mml:mmultiscripts> <mml:mtext>C</mml:mtext> </mml:mrow> </mml:math> enhances absorption from the elastic channel. These findings highlight the sensitivity of near-barrier reaction dynamics to moderately bound valence nucleons and underscore the importance of coupling effects in accurately describing heavy-ion interactions.