Correlation between the12C+12C,12C+13C, and13C+13C fusion cross sections

M. Notani, H. Esbensen, X. Fang, B. Bucher, P. Davies, C. L. Jiang, L. Lamm, C. J. Lin, C. Ma, E. Martin, K. E. Rehm, W. P. Tan (+3 others)
2012 Physical Review C  
The fusion cross section for 12 C+ 13 C has been measured down to Ec.m.=2.6 MeV at which the cross section is of the order of 20 nb. By comparing the cross sections for the three carbon isotope systems, 12 C+ 12 C, 12 C+ 13 C and 13 C+ 13 C, it is found that the cross sections for 12 C+ 13 C and 13 C+ 13 C provide an upper limit for the fusion cross section of 12 C+ 12 C over a wide energy range. After calibrating the effective nuclear potential for 12 C+ 12 C using the 12 C+ 13 C and 13 C+ 13
more » ... 13 C and 13 C+ 13 C fusion cross sections, it is found that a coupled-channels calculation with the Incoming Wave Boundary Condition (IWBC) is capable of predicting the major peak cross sections in 12 C+ 12 C. A qualitative explanation for this upper limit is provided by the Nogami-Imanishi model and level density differences among the compound nuclei. It is found that the strong resonance found at 2.14 MeV in 12 C+ 12 C exceeds this upper limit by a factor of more than 20. The preliminary result from the most recent measurement shows a much smaller cross section at this energy which agrees with our predicted upper limit. PACS numbers:
doi:10.1103/physrevc.85.014607 fatcat:blk3weenrzg5vhi4twl4y2qchy