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Faddeev-Yakubovsky search for Lambda-Lambda hydrogen-4

I. N. Filikhin·A. Gal
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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).

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I. N. Filikhin, A. Gal. 2002-09-01. Faddeev-Yakubovsky search for Lambda-Lambda hydrogen-4. https://doi.org/10.1103/physrevlett.89.172502

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