Thermal-neutron fission of gives the compound nucleus

PHYSICS · Multi-part · Fermi University Physics · Nuclear Physics · Fission, fusion and nuclear energy · Fission, fusion and nuclear energy

The Nucleus Resolved, Ch Fission: the double-humped barrier and the shells the drop cannot see

Problem

Thermal-neutron fission of 241Pu{}^{241}\mathrm{Pu} gives the compound nucleus 242Pu{}^{242}\mathrm{Pu}, with mean neutron multiplicity νˉ=2.90\bar\nu = 2.90. Take the peak-to-valley ratio at the thermal excitation to be about 600, a typical value for similar actinides, and take the rule of thumb that the ratio falls by about one order of magnitude for every 10 MeV10\,\mathrm{MeV} rise in excitation energy above the thermal value, as the shell correction of the forming fragments is progressively washed out. ((a)) Using mass conservation with the heavy peak pinned at AH=139A_H = 139, predict the light peak's mass number. ((b)) Estimate the peak-to-valley ratio if the same compound nucleus is instead formed by absorption of a 20 MeV20\,\mathrm{MeV} neutron, so that the excitation is about 20 MeV20\,\mathrm{MeV} above the thermal value.

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