Most Strange Dibaryon from Lattice QCD

Shinya Gongyo (RIKEN Nishina Center, RIKEN, Saitama 351-0198, Japan) ; Kenji Sasaki (RIKEN Nishina Center, RIKEN, Saitama 351-0198, Japan; Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan) ; Sinya Aoki (RIKEN Nishina Center, RIKEN, Saitama 351-0198, Japan; Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan; Center for Computational Sciences, University of Tsukuba, Ibaraki 305-8571, Japan) ; Takumi Doi (RIKEN Nishina Center, RIKEN, Saitama 351-0198, Japan; RIKEN iTHEMS Program, RIKEN, Saitama 351-0198, Japan) ; Tetsuo Hatsuda (RIKEN iTHEMS Program, RIKEN, Saitama 351-0198, Japan; RIKEN Nishina Center, RIKEN, Saitama 351-0198, Japan) ; et al. - Show all 11 authors

The ΩΩ system in the S01 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 mπ146 MeV at a lattice spacing of a0.0846 fm. We show that lattice QCD data analysis by the HAL QCD method leads to the scattering length a0=4.6(6)(0.5+1.2) fm, the effective range reff=1.27(3)(0.03+0.06) fm, and the binding energy BΩΩ=1.6(6)(0.6+0.7) MeV. These results indicate that the ΩΩ 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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      "surname": "Ishii", 
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      "value": "The <math><mi>\u03a9</mi><mi>\u03a9</mi></math> system in the <math><mrow><mmultiscripts><mrow><msub><mrow><mi>S</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow><mprescripts></mprescripts><none></none><mrow><mn>1</mn></mrow></mmultiscripts></mrow></math> channel (the most strange dibaryon) is studied on the basis of the (<math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>)-flavor lattice QCD simulations with a large volume <math><mrow><mo>(</mo><mn>8.1</mn><mtext> </mtext><mtext> </mtext><mi>fm</mi><msup><mrow><mo>)</mo></mrow><mrow><mn>3</mn></mrow></msup></mrow></math> and nearly physical pion mass <math><msub><mi>m</mi><mi>\u03c0</mi></msub><mo>\u2243</mo><mn>146</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math> at a lattice spacing of <math><mi>a</mi><mo>\u2243</mo><mn>0.0846</mn><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>. We show that lattice QCD data analysis by the HAL QCD method leads to the scattering length <math><msub><mi>a</mi><mn>0</mn></msub><mo>=</mo><mn>4.6</mn><mo>(</mo><mn>6</mn><mo>)</mo><msubsup><mo>(</mo><mrow><mo>\u2212</mo><mn>0.5</mn></mrow><mrow><mo>+</mo><mn>1.2</mn></mrow></msubsup><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, the effective range <math><msub><mi>r</mi><mi>eff</mi></msub><mo>=</mo><mn>1.27</mn><mo>(</mo><mn>3</mn><mo>)</mo><msubsup><mo>(</mo><mrow><mo>\u2212</mo><mn>0.03</mn></mrow><mrow><mo>+</mo><mn>0.06</mn></mrow></msubsup><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, and the binding energy <math><msub><mi>B</mi><mrow><mi>\u03a9</mi><mi>\u03a9</mi></mrow></msub><mo>=</mo><mn>1.6</mn><mo>(</mo><mn>6</mn><mo>)</mo><msubsup><mo>(</mo><mrow><mo>\u2212</mo><mn>0.6</mn></mrow><mrow><mo>+</mo><mn>0.7</mn></mrow></msubsup><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>. These results indicate that the <math><mi>\u03a9</mi><mi>\u03a9</mi></math> 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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Published on:
23 May 2018
Publisher:
APS
Published in:
Physical Review Letters , Volume 120 (2018)
Issue 21
DOI:
https://doi.org/10.1103/PhysRevLett.120.212001
arXiv:
1709.00654
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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