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 ΛΛ, NΞ and ΣΣ 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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Acknowledgments
GRF thanks Zihui Wang for helpful discussions. The research of GRF has been supported by the Simons Foundation. NW thanks the Niels Bohr Institute for its support during the completion of this work.
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Farrar, G.R., Wintergerst, N. Wave function of the sexaquark or compact H-dibaryon. J. High Energ. Phys. 2023, 99 (2023). https://doi.org/10.1007/JHEP12(2023)099
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DOI: https://doi.org/10.1007/JHEP12(2023)099