Methodology for Analyzing Proton Multiplicity Fluctuations with Azimuthal Partitions in Heavy-Ion Collisions
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913373244882944 |
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| author | Neff, Dylan Ji, Zhongling Esha, Roli Wang, Gang Huang, Huan |
| author_facet | Neff, Dylan Ji, Zhongling Esha, Roli Wang, Gang Huang, Huan |
| contents | A primary objective in high-energy heavy-ion collisions is to investigate the phase transition between confined and deconfined color matter. Complementary to the cumulants of conserved charges integrated over the full azimuth, we introduce a novel experimental approach to explore particle fluctuations in azimuthal partitions, which are potentially sensitive to the first-order phase transition in heavy-ion collisions. We evaluate proton multiplicity ($N_w$) fluctuations in azimuthal partitions of width $w$ to quantitatively estimate the clustering tendency among these protons. The $Δσ^2$ observable is defined as the normalized difference between the variance of the $N_w$ distribution and the binomial baseline. We demonstrate the feasibility and characteristics of this observable through simulations using the AMPT and MUSIC+FIST models. We also use a Gaussian correlation model to illustrate that the dependence of $Δσ^2$ on $w$ can be parameterized to accurately extract the strength and the range of the input interaction among protons. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_00072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Methodology for Analyzing Proton Multiplicity Fluctuations with Azimuthal Partitions in Heavy-Ion Collisions Neff, Dylan Ji, Zhongling Esha, Roli Wang, Gang Huang, Huan Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment A primary objective in high-energy heavy-ion collisions is to investigate the phase transition between confined and deconfined color matter. Complementary to the cumulants of conserved charges integrated over the full azimuth, we introduce a novel experimental approach to explore particle fluctuations in azimuthal partitions, which are potentially sensitive to the first-order phase transition in heavy-ion collisions. We evaluate proton multiplicity ($N_w$) fluctuations in azimuthal partitions of width $w$ to quantitatively estimate the clustering tendency among these protons. The $Δσ^2$ observable is defined as the normalized difference between the variance of the $N_w$ distribution and the binomial baseline. We demonstrate the feasibility and characteristics of this observable through simulations using the AMPT and MUSIC+FIST models. We also use a Gaussian correlation model to illustrate that the dependence of $Δσ^2$ on $w$ can be parameterized to accurately extract the strength and the range of the input interaction among protons. |
| title | Methodology for Analyzing Proton Multiplicity Fluctuations with Azimuthal Partitions in Heavy-Ion Collisions |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2406.00072 |