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)

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• $\Omega NN$ and $\Omega \Omega N$ states
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• Effect of deuteron breakup on the deuteron-$\Xi$ correlation function
• Applying Twisted Boundary Conditions for Few-body Nuclear Systems
• Few-body bound states and resonances in finite volume
• $\Omega$-dibaryon production with hadron interaction potential from the lattice QCD in relativistic heavy-ion collisions
• Multi-Objective Energy Efficient Resource Allocation and User Association for In-band Full Duplex Small-Cells
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• $I=2$ $\pi \pi$ potential in the HAL QCD method with all-to-all propagators
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• Bound States of $\Omega$ Baryons in Light Nuclei
• Lattice results on dibaryons and baryon--baryon interactions