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arXiv · 2601.14922

$H$ dibaryon and its cousins from SU(6)-constrained baryon-baryon interaction

Tao-Ran Hu·Feng-Kun Guo
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Abstract

We constrain the $S$-wave baryon-baryon interaction using SU(6) symmetry within a nonrelativistic effective field theory. The most general leading-order Lagrangian contains two independent parameters, which we determine using physical $NN$ and lattice QCD $\Omega\Omega$ scattering lengths. This framework allows for parameter-free predictions in the strangeness $S=-2$ sector relevant to the $H$ dibaryon. Solving the coupled-channel scattering problem, we identify two bound states below the $\Lambda\Lambda$ threshold, one deeply bound and one shallow, along with resonances near the $\Sigma\Sigma$ and $\Sigma^*\Sigma^*$ thresholds. We demonstrate that these poles result in distinct enhancements in $\Lambda\Lambda$ invariant mass distributions, suggesting that the $H$ dibaryon exists as a multichannel bound state and providing clear signatures for experimental verification.

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Tao-Ran Hu, Feng-Kun Guo. 2026-01-21. $H$ dibaryon and its cousins from SU(6)-constrained baryon-baryon interaction. https://arxiv.org/abs/2601.14922

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