Scattering Observables from Few-Body Densities and Compton Scattering on $^6$Li
The dynamics of scattering on light nuclei is numerically expensive using standard methods. Fortunately, recent developments allow one to factor the relevant quantities for a given probe into a convolution of an $n$-body Transition Density Amplitude (TDA) and the interaction kernel for a given probe. These TDAs depend only on the target, and not the probe; they are calculated once for each set of kinematics and can be used for different interactions.\ % in the same kinematics. The kernels depend only on the probe, and not on the target; they can be reused for different targets and different kinematics. The calculation of TDAs becomes numerically difficult for more than four nucleons, but we discuss a new solution through the use of a Similarity Renormalization Group transformation, and a subsequent back-transformation. This technique allows for extending the TDA method to heavier nuclei such as ${}^6\mathrm{Li}$. We present preliminary results for Compton scattering on ${}^6\mathrm{Li}$ and compare with available data, anticipating an upcoming, more thorough study. We also discuss ongoing extensions to pion-photoproduction and other reactions on light nuclei.
Authors
- Harald W. Grießhammer (ORCID: https://orcid.org/0000-0002-9953-6512)
- Alexander Long (ORCID: https://orcid.org/0000-0003-4300-9454)
Institutions
- George Washington University (US)
Publication Details
- Published
- 2025-07-25
- DOI
- https://doi.org/10.22323/1.479.0080
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- U.S. Department of Energy
- George Washington University
- Columbian College of Arts and Sciences, George Washington University