Green function approach to R-matrix theory and applications to light nuclear reactions

Dr. Mark Paris
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 nsladmin@nd.edu for information.