Spin-2 $N\Omega$ Dibaryon from Lattice QCD

Abstract

We investigate properties of the $N$(nucleon)-$\Omega$(Omega) interaction in lattice QCD to seek for possible dibaryon states in the strangeness $-3$ channel. We calculate the $N\Omega$ potential through the equal-time Nambu-Bethe-Salpeter wave function in 2+1 flavor lattice QCD with the renormalization group improved Iwasaki gauge action and the nonperturbatively $\mathcal{O}(a)$ improved Wilson quark action at the lattice spacing $a\simeq 0.12$ fm on a (1.9 fm)${}^3\times$ 3.8 fm lattice. The $ud$ and $s$ quark masses in our study correspond to $m_{\pi }=875(1)$ MeV and $m_K=916(1)$ MeV. At these parameter values, the central potential in the S-wave with the spin 2 shows attractions at all distances.By solving the Schrödinger equation with this potential, we find one bound state whose binding energy is $18.9(5.0){(}_{-1.8}^{+12.1})$ MeV, where the first error is the statistical one, while the second represents the systematic error.

14 pages, 6 figures. Minor corrections made and some references added. A published version in the Gerry Brown Memorial issue of Nucl. Phys. A (2014)

References in corpus (5)

• Nuclear Force from Lattice QCD
• Evidence for a Bound H-dibaryon from Lattice QCD
• Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• Construction of energy-independent potentials above inelastic thresholds in quantum field theories

Cited by in corpus (5)

• On the History of Dibaryons and their Final Observation
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Do $\Xi \Xi$ bound states exist?
• Scattering of decuplet baryons in chiral effective field theory
• $\Omega NN$ and $\Omega \Omega N$ states