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Most Strange Dibaryon from Lattice QCD

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arxiv 1709.00654 v2 pith:3SIK3GIM submitted 2017-09-03 hep-lat hep-exhep-phnucl-exnucl-th

Shinya Gongyo , Kenji Sasaki , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Yoichi Ikeda , Takashi Inoue , Takumi Iritani
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Noriyoshi Ishii Takaya Miyamoto Hidekatsu Nemura
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classification hep-lathep-exhep-phnucl-exnucl-th
keywords omegalatticesystemdibaryonsimeqstrangeanalysisattraction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The $\Omega\Omega$ system in the $^1S_0$ channel (the most strange dibaryon) is studied on the basis of the (2+1)-flavor lattice QCD simulations with a large volume (8.1 fm)$^3$ and nearly physical pion mass $m_{\pi}\simeq 146$ MeV at a lattice spacing $a\simeq 0.0846$ fm. We show that lattice QCD data analysis by the HAL QCD method leads to the scattering length $a_0 = 4.6 (6)(^{+1.2}_{-0.5}) {\rm fm}$, the effective range $r_{\rm eff} = 1.27 (3)(^{+0.06}_{-0.03}) {\rm fm}$ and the binding energy $B_{\Omega \Omega} = 1.6 (6) (^{+0.7}_{-0.6}) {\rm MeV}$. These results indicate that the $\Omega\Omega$ system has an overall attraction and is located near the unitary regime. Such a system can be best searched experimentally by the pair-momentum correlation in relativistic heavy-ion collisions.

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