Exploring the nuclear momentum anisotropy based on intermediate-energy heavy-ion collisions

Fuente: arXiv
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Autori principali: Fan, Xiao-Hua, Yang, Zu-Xing, Chen, Peng-Hui, Li, Zhi-Pan, Zuo, Wei, Kimura, Masaaki, Nishimura, Shunji
Natura: Preprint
Pubblicazione: 2024
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author Fan, Xiao-Hua
Yang, Zu-Xing
Chen, Peng-Hui
Li, Zhi-Pan
Zuo, Wei
Kimura, Masaaki
Nishimura, Shunji
author_facet Fan, Xiao-Hua
Yang, Zu-Xing
Chen, Peng-Hui
Li, Zhi-Pan
Zuo, Wei
Kimura, Masaaki
Nishimura, Shunji
contents We simulate ultra-central collisions of prolate uranium-uranium nuclei at intermediate energies using the isospin-dependent Boltzmann-Uehling-Uhlenbeck model to investigate the impact of momentum anisotropy on spatial geometric effects. By defining the quadrupole deformation parameter in momentum space $β_\text{p}$, we establish an ellipsoidal Fermi surface, aligning its rotational symmetry axis with the one in coordinate space. It is found that oblate momentum density enhances elliptic flow $v_2$, while prolate momentum density has the opposite effect, particularly pronounced in the outer, high transverse momentum $p_\text{t}$ region. Momentum anisotropy also causes differences in the initial momentum mean projection along the beam direction, with larger projections producing more pion mesons. Additionally, significant effects on mean square elliptic flow are observed in non-polarized collisions. We further examine the relationship between the $v_2$-$p_\text{t}$ slope and $β_\text{p}$, eliminating systematic errors through the two-system ratio. These findings provide important references for experimentalists in heavy-ion collisions and valuable feedback to theorists regarding nuclear structure.
format Preprint
id arxiv_https___arxiv_org_abs_2411_18079
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Exploring the nuclear momentum anisotropy based on intermediate-energy heavy-ion collisions
Fan, Xiao-Hua
Yang, Zu-Xing
Chen, Peng-Hui
Li, Zhi-Pan
Zuo, Wei
Kimura, Masaaki
Nishimura, Shunji
Nuclear Theory
We simulate ultra-central collisions of prolate uranium-uranium nuclei at intermediate energies using the isospin-dependent Boltzmann-Uehling-Uhlenbeck model to investigate the impact of momentum anisotropy on spatial geometric effects. By defining the quadrupole deformation parameter in momentum space $β_\text{p}$, we establish an ellipsoidal Fermi surface, aligning its rotational symmetry axis with the one in coordinate space. It is found that oblate momentum density enhances elliptic flow $v_2$, while prolate momentum density has the opposite effect, particularly pronounced in the outer, high transverse momentum $p_\text{t}$ region. Momentum anisotropy also causes differences in the initial momentum mean projection along the beam direction, with larger projections producing more pion mesons. Additionally, significant effects on mean square elliptic flow are observed in non-polarized collisions. We further examine the relationship between the $v_2$-$p_\text{t}$ slope and $β_\text{p}$, eliminating systematic errors through the two-system ratio. These findings provide important references for experimentalists in heavy-ion collisions and valuable feedback to theorists regarding nuclear structure.
title Exploring the nuclear momentum anisotropy based on intermediate-energy heavy-ion collisions
topic Nuclear Theory
url https://arxiv.org/abs/2411.18079