Volume 479 - The 11th International Workshop on Chiral Dynamics (CD2024) - Working Group 2 parallel session: Hadron Structure and Meson-Baryon Interactions
Scattering Observables from Few-Body Densities and Compton Scattering on Lithium 6
A. Long* and H.W. Griesshammer
*: corresponding author
Full text: Not available
Abstract
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.
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