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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.09745 |
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| _version_ | 1866916096176553984 |
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| author | Chen, Lizhu Zhao, Ye-Yin Cheng, Yunshan Wang, Gang Li, Zhiming Wu, Yuanfang |
| author_facet | Chen, Lizhu Zhao, Ye-Yin Cheng, Yunshan Wang, Gang Li, Zhiming Wu, Yuanfang |
| contents | Hyper-order cumulants $C_5/C_1$ and $C_6/C_2$ of net-baryon distributions are anticipated to offer crucial insights into the phase transition from quark-gluon plasma to hadronic matter in heavy-ion collisions. However, the accuracy of $C_5$ and $C_6$ is highly contingent on the fine shape of the distribution's tail, the detectable range of which could be essentially truncated by low statistics. In this paper, we use the fast Skellam-based simulations, as well as the Ultrarelativistic Quantum Molecular Dynamics model, to assess the impact of limited statistics on the measurements of $C_5/C_1$ and $C_6/C_2$ of net-proton distributions at lower RHIC energies. Both ratios decrease from the unity baseline as we reduce statistics, and could even turn negative without a pertinent physics mechanism. By incorporating statistics akin to experimental data, we can replicate the net-proton $C_5/C_1$ and $C_6/C_2$ values comparable to the corresponding measurements for Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5 and 14.5 GeV. Our findings underscore a caveat to the interpretation of the observed beam energy dependence of hyper-order cumulants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09745 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impact of Limited Statistics on the Measured Hyper-Order Cumulants of Net-Proton Distributions in Heavy-Ion Collisions Chen, Lizhu Zhao, Ye-Yin Cheng, Yunshan Wang, Gang Li, Zhiming Wu, Yuanfang Nuclear Theory Nuclear Experiment Hyper-order cumulants $C_5/C_1$ and $C_6/C_2$ of net-baryon distributions are anticipated to offer crucial insights into the phase transition from quark-gluon plasma to hadronic matter in heavy-ion collisions. However, the accuracy of $C_5$ and $C_6$ is highly contingent on the fine shape of the distribution's tail, the detectable range of which could be essentially truncated by low statistics. In this paper, we use the fast Skellam-based simulations, as well as the Ultrarelativistic Quantum Molecular Dynamics model, to assess the impact of limited statistics on the measurements of $C_5/C_1$ and $C_6/C_2$ of net-proton distributions at lower RHIC energies. Both ratios decrease from the unity baseline as we reduce statistics, and could even turn negative without a pertinent physics mechanism. By incorporating statistics akin to experimental data, we can replicate the net-proton $C_5/C_1$ and $C_6/C_2$ values comparable to the corresponding measurements for Au+Au collisions at $\sqrt{s_{NN}} =$ 7.7, 11.5 and 14.5 GeV. Our findings underscore a caveat to the interpretation of the observed beam energy dependence of hyper-order cumulants. |
| title | Impact of Limited Statistics on the Measured Hyper-Order Cumulants of Net-Proton Distributions in Heavy-Ion Collisions |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2401.09745 |