Electromagnetic form factors of ${}^6$Li, ${}^7$Li, and ${}^7$Be in cluster effective field theory

TL;DR

This paper employs cluster effective field theory to analyze electromagnetic form factors of Lithium-6, Lithium-7, and Beryllium-7 nuclei, providing a model-independent approach to extract key nuclear observables from experimental data.

Contribution

It introduces a novel application of cluster EFT to directly extract asymptotic normalization coefficients and observables from electromagnetic form factors of specific light nuclei.

Findings

Successful extraction of asymptotic normalization coefficients

Agreement with experimental electromagnetic form factor measurements

Framework applicable to other light nuclear systems

Abstract

Effective field theory (EFT) provides a powerful model-independent theoretical framework for illuminating complicated interactions across a wide range of physics areas and subfields. In this work, we consider the low-energy deuteron-Helium-4, triton-Helium-4, and helion-Helium-4 systems at low energies in cluster EFT. In particular, we focus on the deuteron + Helium-4 cluster configuration of the Lithium-6 nucleus, the triton + Helium-4 cluster configuration of the Lithium-7 nucleus, and the Helium-3-Helium-4 configuration of the Beryllium-7 nucleus, respectively. We illustrate how to directly extract the asymptotic normalization coefficient and several observables using experimental measurement of the electromagnetic form factors of these nuclei.