A study of nucleon unstable states produced in direct nuclear reactions

We study excited states of a nucleus that are unstable against nucleon decay. An expression is derived for the wave function of such an excited nucleus, using the continuum shell-model theory. The bound and resonant states of the shell-model Hamiltonian are treated on an equal footing. The resonant...

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Bibliographic Details
Main Author: Hartmann, Kurt Miklos
Other Authors: Frahn, W E
Format: Doctoral Thesis
Language:English
Published: University of Cape Town 2016
Subjects:
Online Access:http://hdl.handle.net/11427/16468
Description
Summary:We study excited states of a nucleus that are unstable against nucleon decay. An expression is derived for the wave function of such an excited nucleus, using the continuum shell-model theory. The bound and resonant states of the shell-model Hamiltonian are treated on an equal footing. The resonant part of this wave function is substituted into the DWBA transition amplitude for stripping reactions. Simple expressions are obtained for the energy spectrum and angular distribution of the uncaptured nucleon(s). Comparison with the corresponding elastic scattering cross section is made and the extraction of· spectroscopic information is discussed. Angular distributions and excitation functions for a number of projectile-target systems are calculated. We also suggest nucleon induced inelastic scattering as an alternative direct reaction mechanism with which these excited states may be studied.