论文标题

相对论重离子碰撞中的磁​​场:测试经典近似

Magnetic field in relativistic heavy ion collisions: testing the classical approximation

论文作者

Danhoni, I., Navarra, F. S.

论文摘要

人们认为,在非中心相对论重离子碰撞中,形成了非常强的磁场。有几项研究该领域的效果,其中$ \ vec {b} $是用经典电动力学表达式计算的。当每个字段模式中的场量子数量足够高时,经典量量的数量可能会被量子场近似。如果现场来源足够强烈,可能会发生这种情况。在重离子物理学中,未研究经典治疗的有效性。在这项工作中,我们提出了对经典近似质量的测试。我们使用经典磁场来计算可观察的数量,并使用光子作为输入来计算。如果两种方法的结果一致,则表明经典近似是有效的。更确切地说,我们专注于将核子转化为三角共振的过程,然后将核子转化为另一个核子和一个亲核,即$ n \ toδ\至n'π$。在外膜相对论重离子碰撞中,这种转换可以由一个使另一个离子的离子的经典磁场引起。或者,我们可以通过等效光子的通量来代替经典的磁场,这些光子被靶核吸收。我们以这两种独立的方式计算了横截面,并发现它们在被考虑的碰撞能量范围内通过$ \ simeq 10 $ \%彼此不同。这表明两种形式主义是等效的,并且磁场的经典近似是合理的。

It is believed that in non-central relativistic heavy ion collisions a very strong magnetic field is formed. There are several studies of the effects of this field, where $\vec{B}$ is calculated with the expressions of classical electrodynamics. A quantum field may be approximated by a classical one when the number of field quanta in each field mode is sufficiently high. This may happen if the field sources are intense enough. In heavy ion physics the validity of the classical treatment was not investigated. In this work we propose a test of the quality of the classical approximation. We calculate an observable quantity using the classical magnetic field and also using photons as input. If the results of both approaches coincide, this will be an indication that the classical approximation is valid. More precisely, we focus on the process in which a nucleon is converted into a delta resonance, which then decays into another nucleon and a pion, i.e., $ N \to Δ\to N' π$. In ultra-peripheral relativistic heavy ion collisions this conversion can be induced by the classical magnetic field of one the ions acting on the other ion. Alternatively, we can replace the classical magnetic field by a flux of equivalent photons, which are absorbed by the target nucleons. We calculate the cross sections in these two independent ways and find that they differ from each other by $\simeq 10$ \% in the considered collision energy range. This suggests that the two formalisms are equivalent and that the classical approximation for the magnetic field is reasonable.

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