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The molecular particle-core model is applied to the scattering of $^{13}\mathrm{C}$ on $^{13}\mathrm{C}$. The model divides the $^{13}$C${+\mathrm{}}^{13}$C system into two $^{12}\mathrm{C}$ cores and two valence neutrons. The valence neutrons are described with molecular eigenfunctions of the symmetric two-center shell model. Coupled channel calculations are carried out for the inelastic single and mutual excitation of the first ${(1/2}^{+}$ state of $^{13}\mathrm{C}$ and the neutron transfer to the $^{12}$C${+}^{14}$C system. The results reproduce the experimental data. The analysis of the S matrix shows that the gross structure of the transfer excitation function is related to resonances in the relative motion of the elastic and transfer channels.

physical review c

Inelastic excitation and neutron transfer in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">−</mml:mi></mml:mrow><mml:mrow /><mml:mrow><mml:mn>13</mml:mn></mml:mrow><mml:mrow /><mml:mrow /><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>13</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>C scattering with the molecular particle-core model

Inelastic excitation and neutron transfer in the−1313C scattering with the molecular particle-core model