Green function approach to R-matrix theory and applications to light nuclear reactions
Dr. Mark Paris
Staff Member, Los Alamos National Laboratory
We analyze reactions of neutrons and charged-particles (p,d,t,h,a) on light elements (A < ~ 20). Our primary tool in this endeavor is the Green function of the Schroedinger equation, with boundary conditions prescribed at finite channel radii, in the phenomenological R-matrix approach. We review some elements of reaction theory in the R-matrix approach context and emphasize the multichannel unitarity of the formalism, which is essential to accurate phenomenological parametrization of the scattering and reaction observables. R-matrix parameters are related to various resonance-parameter representations and we discuss the analytic structure of the T-matrix amplitudes as a function of complex energy. Uncertainty quantification of the resulting observables is given. Several examples of R-matrix evaluations of light compound systems (NN, 5Li, 7Be, 10Be, 17O) are discussed briefly along with some plans for future work.
Hosted by Dr. deBoer
All interested persons are invited to attend remotely—email physics@nd.edu for information.
Originally published at physics.nd.edu.