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Wave function of the sexaquark or compact H-dibaryon
- Publication Year :
- 2023
-
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.<br />Comment: 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)
- Subjects :
- High Energy Physics - Phenomenology
High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2310.05194
- Document Type :
- Working Paper