Dibaryons in a constituent quark model

TL;DR

This paper studies the properties of u and d quark-containing dibaryons using a constituent quark model, finding no evidence of stable bound states against strong decay.

Contribution

It constructs a detailed wave function framework and applies variational methods to evaluate dibaryon masses with different confinement potentials, exploring their stability.

Findings

No stable bound dibaryon states found against strong decay

Different confinement potentials do not produce bound states

Wave function construction aligns with physical dibaryon states

Abstract

We investigate the properties of dibaryons containing u and d quarks in the constituent quark model. In constructing the ground state wave function, we choose the spatial part to be fully symmetric and the remaining color, isospin and spin part to be antisymmetric so as to satisfy the the Pauli principle. By adapting the IS coupling scheme that combine the isospin basis function with the spin basis function, and subsequently coupling this to the color singlet basis function, we construct the color $\otimes$ isospin $\otimes$ spin states compatible with the physical states of the dibaryon. By using the variational method, we then calculate the mass of the dibaryon in a nonrelativistic potential model, involving Coulomb, color confinement and color-spin hyperfine interaction. In particular, to asses the stability for different types of the confinement potential, we introduce one that is linearly proportional to the interquark distance and another to its square root. For all cases considered, we find that there are no compact bound states against the strong decay.