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Statistical-Model Calculation of the Angular Distributions of (α, n) Reaction Products

D. G. Swanson* and N. T. Porile

  • Department of Chemistry, Purdue University, Lafayette, Indiana 47907

  • *Submitted in partial fulfillment of the requirements for the Ph.D. degree in the Department of Chemistry, Purdue University.

Phys. Rev. C 1, 4 – Published 1 January, 1970

DOI: https://doi.org/10.1103/PhysRevC.1.4

Abstract

A calculation of the angular distribution of recoil products resulting from compound nuclear (α, n) reactions has been programmed on the basis of the spin-dependent statistical theory of nuclear reactions. The program, which is based on the Monte Carlo technique, considers the emission of neutrons, protons, α particles, and γ rays, and uses either the Fermi-gas or the superconductor model of the nucleus. The computed angular distributions have been compared with the experimental results for various (α, n) reactions and, in agreement with experiment, exhibit a smooth dropoff from a peak close to 0°. This contrasts with the marked disagreement between the experimental results and previous spin-independent calculations, which predicted a peak at large angles to the beam. The difference is ascribed to the effect of competitive γ-ray emission, which is not adequately considered in spin-independent calculations. The present calculation predicts a faster decrease with angle in the magnitude of the differential cross section than is observed experimentally. This result is independent of the specific parameterization of the calculation and may reflect a small contribution from direct interactions.

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