Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.03014 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915091824246784 |
|---|---|
| author | Pan, Xue |
| author_facet | Pan, Xue |
| contents | Assuming the equilibrium of the QCD system, we have investigated the critical behavior of sixth-, eighth- and tenth-order susceptibilities of net-baryon number, through mapping the results in the three-dimensional Ising model to that of QCD. Both the leading critical contribution as well as sub-leading critical contribution from the Ising model are discussed. When considering only the leading critical contribution, the density plots for susceptibilities of the same order demonstrate a consistent general pattern independent on values of mapping parameters. As the critical point is approached from the crossover side, a negative dip followed by a positive peak is observed in the $μ_B$ dependence of the three different orders of susceptibilities. When sub-leading critical contribution is taken into account, modifications become apparent in the density plots of the susceptibilities. The emergence of negative dips in the $μ_B$ dependence of the susceptibilities is not an absolute phenomenon, while the positive peak structure is a more robust feature of the critical point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized susceptibilities of net-baryon number based on the 3-dimensional Ising universality class Pan, Xue Nuclear Theory High Energy Physics - Phenomenology High Energy Physics - Theory Assuming the equilibrium of the QCD system, we have investigated the critical behavior of sixth-, eighth- and tenth-order susceptibilities of net-baryon number, through mapping the results in the three-dimensional Ising model to that of QCD. Both the leading critical contribution as well as sub-leading critical contribution from the Ising model are discussed. When considering only the leading critical contribution, the density plots for susceptibilities of the same order demonstrate a consistent general pattern independent on values of mapping parameters. As the critical point is approached from the crossover side, a negative dip followed by a positive peak is observed in the $μ_B$ dependence of the three different orders of susceptibilities. When sub-leading critical contribution is taken into account, modifications become apparent in the density plots of the susceptibilities. The emergence of negative dips in the $μ_B$ dependence of the susceptibilities is not an absolute phenomenon, while the positive peak structure is a more robust feature of the critical point. |
| title | Generalized susceptibilities of net-baryon number based on the 3-dimensional Ising universality class |
| topic | Nuclear Theory High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.03014 |