Continuum-discretized coupled-channels calculations for 6Li fusion reactions with closed channels

Fusion reactions induced by the weakly bound nucleus 6Li with targets 28Si, 64Ni,144Sm, and 209Bi at energies around the Coulomb barrier are investigated within a three-body model where 6Li is described with an & alpha; + d cluster model. The total fusion (TF) cross sections are calculated with the continuum-discretized coupled channels (CDCC) method and the complete fusion (CF) cross sections are extracted through the sum-rule model. The calculations demonstrate that (i) for the TF cross-section calculations, the continuum states up to 40 MeV are found to be necessary, which corresponds to the inclusion of closed channels for light and medium mass targets, such as 28Si, 59Co, and 144Sm; (ii) the converged CDCC results for TF cross section at energies above the Coulomb barrier are almost the same as single-channel results in which the continuum coupling effect is neglected; and (iii) the continuum coupling strongly influences partial-wave fusion cross sections and the closed channels play a significant role in the improvement of the description of the CF cross sections at energies below the Coulomb barrier for the 6Li + 28Si, 59Co, and 144Sm systems.

Automated summary

Fusion reactions induced by weakly bound nucleus 6Li with various targets at energies around the Coulomb barrier were studied using a three-body model. The total fusion cross sections were calculated using the continuum-discretized coupled channels method, and the complete fusion cross sections were obtained through the sum-rule model. The results showed that (i) considering continuum states up to 40 MeV was necessary for accurate total fusion calculations, especially for light and medium mass targets; (ii) the converged results with continuum coupling were similar to the single-channel results above the Coulomb barrier energy; and (iii) continuum coupling strongly affected partial-wave fusion cross sections, and closed channels played a significant role in describing the complete fusion cross sections below the Coulomb barrier for the 6Li + 28Si, 59Co, and 144Sm systems.