Abstract
We derive an effective Reich-Moore approximation (RMA) of the Wigner-Eisenbud R-matrix formalism parameterized by complex-valued resonance energies and widths; this RMA exactly reproduces the total eliminated cross section. We show that resonance parameters evaluated for a conventional boundary conditions (BCs), Bc = Sc(E),∗∗∗ are approximately equal to the Rmatrix parameters in Park’s formalism by employing a linear approximation of the shift function therein [T.-S. Park, Phys. Rev. C 106 (2021) 064612]. We outline a method for converting Park’s observed reduced width amplitudes (RWAs) and their covariance matrix into Brune’s alternative R-matrix RWAs and their covariance matrix [C. Brune, Phys. Rev. C 66 (2002) 044611]. We extend the Park’s R-matrix formalism into the complex plane by introducing a complex-valued basis set of eigenfunctions of a complex-symmetric (non-Hermitian) Hamiltonian in the R-matrix interior.
| Original language | English |
|---|---|
| Article number | 04007 |
| Journal | EPJ Web of Conferences |
| Volume | 294 |
| DOIs | |
| State | Published - Apr 17 2024 |
| Event | 6th International Workshop on Nuclear Data Evaluation for Reactor Applications, WONDER 2023 - Aix-en-Provence, France Duration: Jun 5 2023 → Jun 9 2023 |
Funding
Useful discussions with Helmut Leeb, Ian J. Thompson, Mark W. Paris, Gerald M. Hale, Zhenpeng Chen, and other INDEN-LE Meeting participants are gratefully acknowledged. This work was supported by the Nuclear Criticality Safety Program, funded and managed by the National Nuclear Security Administration for the US Department of Energy.