2020/06/17 by Michael Quinonez, L. Hlophe, Linda Hlophe +2 · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Energy (signal processing) #Gaussian #High-pressure geophysics and materials #Mathematical analysis #Mathematical physics #Mathematics #Neutron #Nuclear Physics and Applications #Nuclear physics research studies #Physics #Quantum #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Range (aeronautics) #Separable space #nucl-th
paper · pdf · doi:10.1103/physrevc.102.024606
published in Physical Review C 102(2) (American Institute of Physics) · 9 pages, 7 figures
arxiv created 2020/06/17 · openalex publication_date 2020/08/07 · arxiv updated 2020/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Background: Separable interactions have a long history in nuclear physics. In the last few years, separable expansions have been used to represent the optical potential between a nucleon (proton or neutron) and a target.Purpose: We explore the nonlocal properties of these separable optical potentials as well as their convergence behavior.Method: For a couple of cases, we use the generalized Ersnt-Shakin-Thaler scheme to generate separable interactions starting from local optical potentials. We study the variation of the interaction with energy range and rank.Results: We find that, overall, the off-diagonal behavior of the converged separable interaction deviates from the Gaussian form assumed by Perey and Buck [F. Perey and B. Buck, Nucl. Phys. 32, 353 (1962)]. However, in the region surrounding the maximum depth the Gaussian form works quite well. Focusing on this region, we study potentials describing neutron elastic scattering on 16O and 48Ca for beam energies in the range of E=10--50 MeV and explore several measures of nonlocality of the separable interactions.Conclusions: When the energy range considered for generating the separable interaction is 0\ensuremath≤Erange\ensuremath≤50 MeV, the resulting nonlocality is large and target dependent. Contrarily, the nonlocality obtained including larger energy ranges in the separable procedure is independent of the target and other details of the original local potential. We find that, even when including in the expansion many support points with energy ranges 0\ensuremath≤Erange\ensuremath≤2400 MeV, the resulting potential retains nonlocal behavior. Connections with microscopic optical potentials as well as other transformations used in the nucleon-nucleon domain are made.