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arXiv · 2310.05194

Wave function of the sexaquark or compact H-dibaryon

Glennys R. Farrar·Nico Wintergerst
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Abstract

We derive and explicitly display the internal wave function of a color-, flavor- and spin- singlet dibaryon composed of uuddss quarks in a spatially symmetric state, in the approximation of exact SU(3) flavor symmetry. This wavefunction shows that the often-used superposition of Lambda Lambda, N Xi and Sigma Sigma baryons, relevant for di-baryon molecules, accounts for only 1/5 of a spatially symmetric six-quark color-flavor-spin-singlet state, with the remaining 4/5 consisting of products of color-octet baryons. Using the correct wavefunction has important implications for calculations of the mass of the lowest-lying flavor-singlet dibaryon, as we illustrate using the Cornell potential. We also provide a compact representation of the state in terms of creation operators, and comment on the impact of not using the optimal operator in lattice studies of this system.

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Glennys R. Farrar, Nico Wintergerst. 2023-10-08. Wave function of the sexaquark or compact H-dibaryon. https://arxiv.org/abs/2310.05194

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