Background: The development of SU (3) chiral effective field theory has opened the way to a systematic exploration of three-baryon forces (3BFs), a key ingredient in hypernuclear and dense matter physics. However, ΞNN 3BF based on SU (3) chiral EFT has not been studied until now. Purpose: We apply SU (3) chiral EFT for the first time to derive ΞNN potentials in momentum space. Then, we investigate how the ΞNN 3BF affects the correlation function of deuteron-Ξ^- pair created through heavy-ion collisions. Methods: To reduce the number of low-energy constants involved in the ΞNN potentials, we employ the decuplet saturation approximation, by which only two of them remain unconstrained. Results: We found that the effect of the ΞNN 3BF on the deuteron-Ξ^- correlation function is at most about 4%. This is because the deuteron and Ξ^- interact with each other mainly at low momentum, corresponding to peripheral scattering, where the influence of the ΞNN 3BF is limited. Conclusions: High-momentum scattering of the deuteron off Ξ^- is expected to be a promising probe of the ΞNN 3BF, offering an alternative to femtoscopic analyses of the correlation function.
Uratsu et al. (Thu,) studied this question.