### Abstract

The first principle lattice QCD methods allow to calculate the thermodynamic observables at finite temperature and imaginary chemical potential. These can be compared to the predictions of various phenomenological models. We argue that Fourier coefficients with respect to imaginary baryochemical potential are sensitive to modeling of baryonic interactions. As a first application of this sensitivity, we consider the hadron resonance gas (HRG) model with repulsive baryonic interactions, which are modeled by means of the excluded volume correction. The Fourier coefficients of the imaginary part of the net-baryon density at imaginary baryochemical potential – corresponding to the fugacity or virial expansion at real chemical potential – are calculated within this model, and compared with the N_{t}=12 lattice data. The lattice QCD behavior of the first four Fourier coefficients up to T≃185 MeV is described fairly well by an interacting HRG with a single baryon–baryon eigenvolume interaction parameter b≃1 fm^{3}, while the available lattice data on the difference χ_{2} ^{B}−χ_{4} ^{B} of baryon number susceptibilities is reproduced up to T≃175 MeV.

Original language | English |
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Pages (from-to) | 71-78 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 775 |

DOIs | |

Publication status | Published - Dec 10 2017 |

### Keywords

- Excluded volume
- Hadron resonance gas
- Imaginary chemical potential

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*775*, 71-78. https://doi.org/10.1016/j.physletb.2017.10.042