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Main Authors: Zheng, Yun-Peng, Liu, Dai-Neng, Chen, Lie-Wen, Chen, Jin-Hui, Ko, Che Ming, Ma, Yu-Gang, Sun, Kai-Jia, Xu, Jun, Zhou, Bo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.15286
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author Zheng, Yun-Peng
Liu, Dai-Neng
Chen, Lie-Wen
Chen, Jin-Hui
Ko, Che Ming
Ma, Yu-Gang
Sun, Kai-Jia
Xu, Jun
Zhou, Bo
author_facet Zheng, Yun-Peng
Liu, Dai-Neng
Chen, Lie-Wen
Chen, Jin-Hui
Ko, Che Ming
Ma, Yu-Gang
Sun, Kai-Jia
Xu, Jun
Zhou, Bo
contents Non-central heavy-ion collisions produce hot and dense nuclear matter with significant fluid vorticity, which can induce global polarizations or alignments of particles with non-zero spins along the direction of the total orbital angular momentum. This phenomenon has been observed for hyperons and vector mesons in experiments. In the present study, we demonstrate that polarized nucleons lead to global spin alignment of the unstable nucleus $^4$Li, which can be measured through its strong decays via $^4\text{Li} \rightarrow {^3\text{He}} + p$. Assuming that $^4$Li is formed through the coalescence of polarized nucleons at kinetic freeze-out, we obtain the angular distribution of the daughter particle $^3$He in the rest frame of the polarized $^4$Li. Taking kinetically freeze-out nucleons from an isotropic and thermalized fireball of constant vorticity and including quantum corrections up to $\hbar^2$ in the coalescence calculation through the Moyal star product, we find that the angular distribution of $^3$He has a $\cos(2θ^*)$ dependence with $θ^*$ being its angle with respect to the quantization axis of $^4$Li. We also find that the $^3$He angular distribution depends on both the vorticity and the polarization of kinetically freeze-out nucleons. Future measurements on the spin alignment of $^4$Li in heavy-ion collisions thus offer a promising method to probe the spin dynamics, vortical structure, and spin-dependent equation-of-state of the nuclear matter produced in these collisions.
format Preprint
id arxiv_https___arxiv_org_abs_2509_15286
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Global Spin Alignment of (Anti-)$^4$Li in Non-Central Heavy-Ion Collisions
Zheng, Yun-Peng
Liu, Dai-Neng
Chen, Lie-Wen
Chen, Jin-Hui
Ko, Che Ming
Ma, Yu-Gang
Sun, Kai-Jia
Xu, Jun
Zhou, Bo
Nuclear Theory
High Energy Physics - Phenomenology
Non-central heavy-ion collisions produce hot and dense nuclear matter with significant fluid vorticity, which can induce global polarizations or alignments of particles with non-zero spins along the direction of the total orbital angular momentum. This phenomenon has been observed for hyperons and vector mesons in experiments. In the present study, we demonstrate that polarized nucleons lead to global spin alignment of the unstable nucleus $^4$Li, which can be measured through its strong decays via $^4\text{Li} \rightarrow {^3\text{He}} + p$. Assuming that $^4$Li is formed through the coalescence of polarized nucleons at kinetic freeze-out, we obtain the angular distribution of the daughter particle $^3$He in the rest frame of the polarized $^4$Li. Taking kinetically freeze-out nucleons from an isotropic and thermalized fireball of constant vorticity and including quantum corrections up to $\hbar^2$ in the coalescence calculation through the Moyal star product, we find that the angular distribution of $^3$He has a $\cos(2θ^*)$ dependence with $θ^*$ being its angle with respect to the quantization axis of $^4$Li. We also find that the $^3$He angular distribution depends on both the vorticity and the polarization of kinetically freeze-out nucleons. Future measurements on the spin alignment of $^4$Li in heavy-ion collisions thus offer a promising method to probe the spin dynamics, vortical structure, and spin-dependent equation-of-state of the nuclear matter produced in these collisions.
title Global Spin Alignment of (Anti-)$^4$Li in Non-Central Heavy-Ion Collisions
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.15286