Parameterization of Direct and Doorway Processes in R-Matrix Formalism
- ORNL
- OECD Nuclear Energy Agency
- Rensselaer Polytechnic Institute (RPI)
- Naval Nuclear Laboratory
- Rensselaer Polytechnic Institute,
R-matrix formalism is extended beyond compound nuclear (CN) resonant reactions to include parameterization of direct as well as doorway processes. Direct processes in the R-matrix exterior are parameterized by a unitary matrix that introduces mixing among wave function coefficients of the incoming and outgoing wave function components at the R-matrix channel surface. Doorway processes are parameterized by separating the Hilbert space of the interior R-matrix region into its doorway and CN subspaces, from which doorway state eigenenergies, reduced width amplitudes, and the strengths of their coupling to CN levels appear as new R-matrix parameters. Parameterization of generalized as well as the conventional Reich–Moore approximation for eliminated capture channels in the presence of direct, doorway, and CN processes is presented along with a complex-valued scattering length with contributions from direct, doorway, and CN capture processes. Derivation of Brune’s alternative R-matrix parameters is extended to include doorway states. This work suggests how R-matrix formalism could be extended further by adopting the concepts from related reaction formalisms.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1985392
- Resource Relation:
- Journal Volume: 284; Conference: 15th International Conference on Nuclear Data for Science and Technology (ND2022) - Livermore (VIRTUAL), California, United States of America - 7/24/2022 4:00:00 AM-7/29/2022 4:00:00 AM
- Country of Publication:
- United States
- Language:
- English
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