Wave function of the sexaquark or compact H-dibaryon
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.
Keywords
Cite
@article{arxiv.2310.05194,
title = {Wave function of the sexaquark or compact H-dibaryon},
author = {Glennys R. Farrar and Nico Wintergerst},
journal= {arXiv preprint arXiv:2310.05194},
year = {2023}
}
Comments
v2: Added citations to related earlier work brought to our attention after posting of v1: Ref. [12] and R. L. Jaffe, private communication (in footnote 2)