Short-range baryon-baryon potentials in constituent quark model revisited · arXivDesk
2304.13877Apr 26, 2023Version accepted for publication in Physical Review C. Parameters, especially the constituent quark masses, have been refined. All of the explicit potential values in our model are provided in the ancillary files
Short-range baryon-baryon potentials in constituent quark model revisited
We revisit the short-range baryon-baryon potentials in the flavor SU(3) sector, using the constituent quark model. We employ the color Coulomb, linear confining, and color magnetic forces between two constituent quarks, and solve the three-quark Schrödinger equation using the Gaussian expansion method to evaluate the wave functions of the octet (N,Λ,Σ,Ξ) and decuplet (Δ,Σ∗,Ξ∗,Ω)
Nearby in the stack
baryons. We then solve the six-quark equation using the resonating group method and systematically calculate equivalent local potentials for the
S
-wave two-baryon systems which reproduce the relative wave functions of two baryons in the resonating group method. As a result, we find that the flavor antidecuplet states with total spin
J=3
, namely,
ΔΔ
,
ΔΣ∗
,
ΔΞ∗
-
Σ∗Σ∗
, and
ΔΩ
-
Σ∗Ξ∗
systems, have attractive potentials sufficient to generate dibaryon bound states as hadronic molecules. In addition, the
NΩ
system with
J=2
in coupled channels has a strong attraction and forms a bound state. We also make a comparison with the baryon-baryon potentials from lattice QCD simulations and try to understand the behavior of the potentials from lattice QCD simulations.