Wave function of the sexaquark or compact H-dibaryon

TL;DR

This paper derives the detailed internal wave function of a six-quark state called the sexaquark, revealing its complex structure and implications for mass calculations and lattice studies.

Contribution

It provides the explicit form of the sexaquark wave function, showing the limitations of simplified models and emphasizing the importance of using the correct wavefunction in theoretical calculations.

Findings

Only 1/5 of the state is Lambda Lambda, N Xi, Sigma Sigma superpositions.

Remaining 4/5 consists of products of color-octet baryons.

Using the correct wavefunction significantly affects mass estimates.

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.