Deformation probes for light nuclei in their collisions at relativistic energies
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| Format: | Preprint |
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2024
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| _version_ | 1866914953258074112 |
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| author | Wang, Hai-Cheng Li, Song-Jie Liu, Lu-Meng Xu, Jun Ren, Zhong-Zhou |
| author_facet | Wang, Hai-Cheng Li, Song-Jie Liu, Lu-Meng Xu, Jun Ren, Zhong-Zhou |
| contents | We have investigated the performance of anisotropic flows $\langle v_n^2 \rangle$, transverse momentum fluctuations $\langle δp_T^2 \rangle $, and their correlations $\langle v_n^2 δp_T \rangle$ in central collisions at relativistic energies as probes of deformation parameters $β_n$ of colliding nuclei, if these nuclei are light nuclei with large $β_n$ and different configurations of $α$ clusters. The effects from higher-order $β_n$ terms are illustrated by derived relations based on the overlap of two nuclei with uniform density distributions and by dynamic simulations of collisions of heavy nuclei whose density distributions are of a deformed Woods-Saxon (WS) form. While the linear relations between $β^2_n$, $\langle v_n^2 \rangle$, and $\langle δp_T^2 \rangle$ and that between $β^3_n$ and $\langle v_n^2 δp_T \rangle$ can be violated for extremely large $β_{n}$, they are mostly valid for realistic values of $β_n$, as long as the density distribution of colliding nuclei can be described by a deformed WS form. However, these linear relations are generally not valid with more realistic density distributions of light nuclei with $α$ clusters, and the amount of deviation depends on the detailed $α$-cluster configurations. Care must be taken when one tries to extract the deformation of light nuclei, and specific probes for $α$-cluster structures in these nuclei are very much needed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_02452 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformation probes for light nuclei in their collisions at relativistic energies Wang, Hai-Cheng Li, Song-Jie Liu, Lu-Meng Xu, Jun Ren, Zhong-Zhou Nuclear Theory High Energy Physics - Experiment Nuclear Experiment We have investigated the performance of anisotropic flows $\langle v_n^2 \rangle$, transverse momentum fluctuations $\langle δp_T^2 \rangle $, and their correlations $\langle v_n^2 δp_T \rangle$ in central collisions at relativistic energies as probes of deformation parameters $β_n$ of colliding nuclei, if these nuclei are light nuclei with large $β_n$ and different configurations of $α$ clusters. The effects from higher-order $β_n$ terms are illustrated by derived relations based on the overlap of two nuclei with uniform density distributions and by dynamic simulations of collisions of heavy nuclei whose density distributions are of a deformed Woods-Saxon (WS) form. While the linear relations between $β^2_n$, $\langle v_n^2 \rangle$, and $\langle δp_T^2 \rangle$ and that between $β^3_n$ and $\langle v_n^2 δp_T \rangle$ can be violated for extremely large $β_{n}$, they are mostly valid for realistic values of $β_n$, as long as the density distribution of colliding nuclei can be described by a deformed WS form. However, these linear relations are generally not valid with more realistic density distributions of light nuclei with $α$ clusters, and the amount of deviation depends on the detailed $α$-cluster configurations. Care must be taken when one tries to extract the deformation of light nuclei, and specific probes for $α$-cluster structures in these nuclei are very much needed. |
| title | Deformation probes for light nuclei in their collisions at relativistic energies |
| topic | Nuclear Theory High Energy Physics - Experiment Nuclear Experiment |
| url | https://arxiv.org/abs/2409.02452 |