NΩ dibaryon from lattice QCD near the physical point

T. Iritani,S. Aoki,T. Doi,Faisal Etminan,S. Gongyo,T. Hatsuda,Y. Ikeda,T. Inoue,N. Ishii,T. Miyamoto,K. Sasaki

Published 2018 in Physics Letters B

ABSTRACT

Abstract The nucleon(N)-Omega(Ω) system in the S-wave and spin-2 channel ( S 2 5 ) is studied from the (2+1)-flavor lattice QCD with nearly physical quark masses ( m π ≃ 146 MeV and m K ≃ 525 MeV ). The time-dependent HAL QCD method is employed to convert the lattice QCD data of the two-baryon correlation function to the baryon-baryon potential and eventually to the scattering observables. The N Ω ( S 2 5 ) potential, obtained under the assumption that its couplings to the D-wave octet-baryon pairs are small, is found to be attractive in all distances and to produce a quasi-bound state near unitarity: In this channel, the scattering length, the effective range and the binding energy from QCD alone read a 0 = 5.30 ( 0.44 ) ( − 0.01 + 0.16 ) fm , r eff = 1.26 ( 0.01 ) ( − 0.01 + 0.02 ) fm , B = 1.54 ( 0.30 ) ( − 0.10 + 0.04 ) MeV , respectively. Including the extra Coulomb attraction, the binding energy of p Ω − ( S 2 5 ) becomes B p Ω − = 2.46 ( 0.34 ) ( − 0.11 + 0.04 ) MeV . Such a spin-2 p Ω − state could be searched through two-particle correlations in p-p, p-nucleus and nucleus-nucleus collisions.

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