Faddeev-Yakubovsky search for Lambda-Lambda hydrogen-4
Nuclear Theory
2009-11-07 v1
Abstract
Evidence for particle stability of Lambda-Lambda hydrogen-4 (4LLH) has been suggested by the BNL-AGS E906 experiment. We report on Faddeev-Yakubovsky calculations for the four-body Lambda-Lambda-p-n system using Lambda-N interactions which reproduce the observed binding energy of Lambda hydrogen-3 (3LH) within a Faddeev calculation for the Lambda-p-n subsystem. No 4LLH bound state is found over a wide range of Lambda-Lambda interaction strengths, although the Faddeev equations for a three-body Lambda-Lambda-d model of 4LLH admit a 1+ bound state for as weak a Lambda-Lambda interaction strength as required to reproduce the binding energy of Lambda-Lambda Helium-6 (6LLHe).
Keywords
Cite
@article{arxiv.nucl-th/0209003,
title = {Faddeev-Yakubovsky search for Lambda-Lambda hydrogen-4},
author = {I. N. Filikhin and A. Gal},
journal= {arXiv preprint arXiv:nucl-th/0209003},
year = {2009}
}
Comments
4 pages including 2 figures, PRL (in press)