Nuclear Recoil and Simple Nuclear Reactions

Phys. Rev. 140, B844 – Published 22 November 1965
Paul A. Benioff and Lucy Wu Person

Abstract

The nuclear-recoil properties of simple nuclear reactions are studied in the distorted-wave impulse approximation. Calculations of the differential recoil cross section d2σdΩKdTK, and the recoil angular distribution dσdΩK, for the C12(p, pn)C11 and Ni58(p, pn)Ni57 reactions at 450 MeV are presented and discussed. Relativistic kinematics are used and the calculations are not limited to coplanar events: they are valid for any type of kinematically allowed event. Harmonic-oscillator and exponential radial wave functions are used along with a complex, energy-dependent, Woods-Saxon optical potential. The calculations show appreciable differences between the exponential and harmonic-oscillator forms and also between distorted- and plane-wave calculations. In general, curves of d2σdΩKdTK plotted as a function of TK for fixed θK, show steeper narrower peaks and larger flatter tails at θK=90° than at θK=0° or 180°. Comparison of the recoil angular distribution for outlying target neutron shells (1p in C12 and 2p in Ni58) and interior shells (1s in C12 and 1f in Ni58) shows a definite sideways peaking for the outlying shells which is lacking for the interior shells. This effect is explained as being a result of the equatorial localization of reaction sites which is greater for outer shells than for inner shells. Comparison with the small number of experimental data available indicates satisfactory agreement, except possibly for sideways recoil angles where, according to Remsberg, another reaction mechanism may be contributing.

DOI: http://dx.doi.org/10.1103/PhysRev.140.B844

  • Received 12 July 1965
  • Published in the issue dated November 1965

© 1965 The American Physical Society

Authors & Affiliations

Paul A. Benioff and Lucy Wu Person

  • Argonne National Laboratory, Argonne, Illinois

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