Analysis of Overlapping Resonances in Proton?Carbon Scattering

Abstract

SummaryThe R-matrix theory of nuclear reactions is discussed for the situation where distant levels must be included and is successfully applied to the elastic scattering of protons by l2C in the energy range ELAB = 10-11· 5 MeV, where the resonance levels are overlapping. Definite spin and parity assignments are made for three levels in this region by comparing the predicted excitation functions at several angles of scattering with experiment. Previously unexplained polarization data are explained by this analysis. The optical.model potential is found to be parity dependent for ELAB<lO MeV and yields a close fit to the available data at ELAB = 8·5 MeV.

Parameters of Two Levels of the 17F Nucleus

“…In the R matrix theory, use is made of the "boundary value matrix", the elements of which are arbitrary real numbers. A convenient choice (Robson and Toutenhoofd 1963) …”

“…Information on states in 13N was extracted from 12C(p, p )12C excitation curves and angular distributions by a Melbourne group (Shute et al 1962;Robson and Toutenhoofd 1963). The method used by Robson is applicable for the elastic scattering of spin-!…”