alpha-alpha Scattering in Halo Effective Field Theory
Abstract
We study the two-alpha-particle (alpha-alpha) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow resonance at an energy of about 0.1 MeV. We investigate the EFT expansion in detail, and compare its results with existing low-energy alpha-alpha phase shifts and previously determined effective-range parameters. Good description of the data is obtained with a surprising amount of fine-tuning. This scenario can be viewed as an expansion around the limit where, when electromagnetic interactions are turned off, the Be-8 ground state is at threshold and exhibits conformal invariance. We also discuss possible extensions to systems with more than two alpha particles.
Cite
@article{arxiv.0802.3426,
title = {alpha-alpha Scattering in Halo Effective Field Theory},
author = {R. Higa and H. -W. Hammer and U. van Kolck},
journal= {arXiv preprint arXiv:0802.3426},
year = {2008}
}
Comments
19 pages, 2 figures, published version