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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2401.02874 |
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| _version_ | 1866914818451046400 |
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| author | Biswas, Deeptak Petreczky, Peter Sharma, Sayantan |
| author_facet | Biswas, Deeptak Petreczky, Peter Sharma, Sayantan |
| contents | We study the QCD equation of state and the chiral condensate using the hadron resonance gas model with repulsive mean-field interactions. We find that the repulsive interactions improve the agreement with the lattice results on the derivatives of the pressure with respect to the baryon chemical potential up to eighth order. From the temperature dependence of the chiral condensate we estimate the crossover temperature as a function of baryon chemical potential, $T_{pc}(μ_B)$. We find that the chiral crossover line starts to deviate significantly from the chemical freeze-out line already for $μ_B>400$ MeV. Furthermore, we find that the chiral pseudocritical line can be parametrized as $T_{pc}(μ_B)/T_{pc}(0)=1-κ_2 (μ_B/T_{pc} (0))^2-κ_4 (μ_B/T_{pc} (0))^4$ with $κ_2=0.0150(2)$ and $κ_4=3.1(6) \times 10^{-5}$, which are in agreement with lattice QCD results for small values of $μ_B$. For the first time we find a tiny but non-zero value of $κ_4$ in our study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02874 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chiral condensate and the equation of state at nonzero baryon density from the hadron resonance gas model with a repulsive mean field Biswas, Deeptak Petreczky, Peter Sharma, Sayantan High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We study the QCD equation of state and the chiral condensate using the hadron resonance gas model with repulsive mean-field interactions. We find that the repulsive interactions improve the agreement with the lattice results on the derivatives of the pressure with respect to the baryon chemical potential up to eighth order. From the temperature dependence of the chiral condensate we estimate the crossover temperature as a function of baryon chemical potential, $T_{pc}(μ_B)$. We find that the chiral crossover line starts to deviate significantly from the chemical freeze-out line already for $μ_B>400$ MeV. Furthermore, we find that the chiral pseudocritical line can be parametrized as $T_{pc}(μ_B)/T_{pc}(0)=1-κ_2 (μ_B/T_{pc} (0))^2-κ_4 (μ_B/T_{pc} (0))^4$ with $κ_2=0.0150(2)$ and $κ_4=3.1(6) \times 10^{-5}$, which are in agreement with lattice QCD results for small values of $μ_B$. For the first time we find a tiny but non-zero value of $κ_4$ in our study. |
| title | Chiral condensate and the equation of state at nonzero baryon density from the hadron resonance gas model with a repulsive mean field |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2401.02874 |