$\mathrm{\Lambda }$ and $\mathrm{\Sigma }$ potentials in dense matter based on chiral EFT: Bridging heavy-ion collisions, hypernuclei, and neutron stars

The $\mathrm{\Lambda }$ and $\mathrm{\Sigma }$ directed flows at $\sqrt{s_{NN}}=4.5\mathrm{G}\mathrm{e}\mathrm{V}$ are investigated to examine their sensitivity to the hyperon single-particle potentials. The single-particle potentials are obtained from $G$-matrix calculations with two- and three-body forces based on SU(3) chiral effective field theory. The $\mathrm{\Lambda }+{\mathrm{\Sigma }}^0$ directed flow shows sensitivity to the variation in the $\mathrm{\Sigma }$ single-particle potential. Its effect is more pronounced for the ${\mathrm{\Sigma }}^0$ directed flow.