Abstract
The surrogate reaction method may be used to determine the cross section for neutron-induced reactions not accessible through standard experimental techniques by creating the same compound nucleus which the desired reaction would pass through, but via a different entrance channel. A variety of direct reactions have been employed in order to generate the required compound nuclei for surrogate studies. In this work, a previously developed (p,t) reaction model has been extended to incorporate a two-step reaction mechanism, which takes the form of sequential neutron transfer. This updated model is applied to the 92Zr(p,t)90Zr reaction and is found to modify the strengths of the previously predicted populated levels. It is planned that this improved (p,t) model will be used to attempt to constrain cross section predictions for a number of (n,γ) reactions in future, as well as provide a possible comparison against other surrogate studies utilising different direct reactions such as (p,d).
Highlights
For many isotopes of interest it is not possible to conduct conventional neutron-induced cross section measurements
The incident neutron is absorbed by, and shares its energy with, the target nucleus and forms an excited compound nucleus. This compound nucleus is unstable and will decay after some time to form the final products of the reaction
The basis of the surrogate reaction method is to exploit the Bohr assumption, that the mode of decay of a compound nucleus is independent of the type of reaction from which it formed [1]
Summary
For many isotopes of interest it is not possible to conduct conventional neutron-induced cross section measurements. It is assumed that only the spin distribution of the states, in both energy and angular momentum, populated in the compound nucleus plays a role in determining the statistical likelihood of decays via each possible channel. ΣαB∗ (Eex, J, π) is the cross section for (a+A) forming the compound nucleus B∗ with an excitation energy Eex in the state Jπ and GχB∗ (Eex, J, π) is the probability, or branching ratio, of B∗ decaying to channel χ. Calculations of cross sections for the direct (p,t) transfer reaction on a mass A + 2 target nucleus, populating. A calculation was performed for the transfer of each possible pair of neutrons in the 92Zr target nucleus, assuming standard shell model filling rules. The match between the experimental data and the theoretical model is reasonable
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