Inclusive breakup reactions
N. Austern and C. M. Vincent
Phys. Rev. C 23, 1847 (1981) - Published 1 May, 1981
Inclusive breakup reactions of the type require sums over excited states of the unobserved system. We show that the summed distorted-wave Born approximation cross section can be expressed in closed form as an elastic distorted-waves expectation of an optical model propagator for the unobserved system. The contribution of fluctuations to the energy-averaged cross section is automatically contained in the derived identity. Previous results can be recovered from this identity if corresponding surface approximations are introduced. A new approximation simplifies the identity by omitting the imaginary part of the optical potential. This approximation selects the energy-shell part of the propagator and reduces the inclusive cross section to the same form obtained for the ground state reaction , with a modified (real) optical potential for the unobserved neutron.
NUCLEAR REACTIONS Scattering theory, closed form sum rule for inclusive breakup, DWBA, approximations extracted.