Production of $$\Omega NN$$ and $$\Omega \Omega N$$ in ultra-relativistic heavy-ion collisions
Liang Zhang, S. Zhang, Y. G.
Abstract
Abstract Even though lots of $$\Lambda $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Λ</mml:mi> </mml:math> -hypernuclei have been found and measured, multi-strangeness hypernuclei consisting of $$\Omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Ω</mml:mi> </mml:math> are not yet discovered. The studies of multi-strangeness hypernuclei help us further understand the interaction between hyperons and nucleons. Recently the $$\Omega N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> and $$\Omega \Omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>Ω</mml:mi> </mml:mrow> </mml:math> interactions as well as binding energies were calculated by the HAL-QCD’s lattice Quantum Chromo-Dynamics (LQCD) simulations and production rates of $$\Omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Ω</mml:mi> </mml:math> -dibaryon in Au + Au collisions at RHIC and Pb + Pb collisions at LHC energies were estimated by a coalescence model. The present work discusses the production of more exotic triple-baryons including $$\Omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Ω</mml:mi> </mml:math> , namely $$\Omega NN$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> and $$\Omega \Omega N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> as well as their decay channels. A variation method is used in calculations of bound states and binding energy of $$\Omega NN$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> and $$\Omega \Omega N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> with the potentials from the HAL-QCD’s results. The productions of $$\Omega NN$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> and $$\Omega \Omega N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> are predicted by using a blast-wave model plus coalescence model in ultra-relativistic heavy-ion collisions at $$\sqrt{s_{NN}} = 200$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msqrt> <mml:msub> <mml:mi>s</mml:mi> <mml:mrow> <mml:mi>NN</mml:mi> </mml:mrow> </mml:msub> </mml:msqrt> <mml:mo>=</mml:mo> <mml:mn>200</mml:mn> </mml:mrow> </mml:math> GeV and 2.76 TeV. Furthermore, plots for baryon number dependent yields of different baryons ( N and $$\Omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Ω</mml:mi> </mml:math> ), their dibaryons and hypernuclei are made and the production rate of a more exotic tetra-baryon ( $$\Omega \Omega NN$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Ω</mml:mi> <mml:mi>Ω</mml:mi> <mml:mi>N</mml:mi> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> ) is extrapolated.