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arXiv · 2308.16594

The nuclear liquid-gas transition in QCD

Kenji Fukushima·Jan Horak·Jan M. Pawlowski·Nicolas Wink·Carl Philipp Zelle
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Abstract

We estimate the nuclear saturation density and the binding energy in a nuclear liquid from precision data on the coupling of the four-quark scattering vertex in the vector channel, computed within functional QCD. We show that this coupling is directly related to the density-density potential and the latter is used for the estimates. In a first qualitative computation we find a saturation density of 0.2 fm${}^{-3}$ and an upper bound for the binding energy of 21.5 MeV, in agreement with the empirical values of 0.16 fm${}^{-3}$ and 16 MeV, respectively. We also use the scattering vertex for constructing an emergent low-energy effective theory for the liquid gas transition from QCD correlation function, whose coupling parameters can be determined within QCD. As a first consistency check of this construction we estimate the in-medium reduction of the nucleon pole mass.

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Kenji Fukushima, Jan Horak, Jan M. Pawlowski, Nicolas Wink, Carl Philipp Zelle. 2023-08-31. The nuclear liquid-gas transition in QCD. https://arxiv.org/abs/2308.16594

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