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相对论重离子碰撞中电磁场演化的计算方法讨论与分析

Study on the Electromagnetic Fields in Ultra-relativistic Heavy Ion Collisions at RHIC and the LHC

  • 摘要: 在相对论重离子碰撞中,近光速核碰撞可产生高达1018~1019 G的强磁场。本文系统研究了电磁场的时空演化,采用了三种理论方法:求解麦克斯韦方程组、估算真空电磁场以及应用李纳–维谢尔势。计算涵盖了Au+Au、Zr+Zr、Ru+Ru和Pb+Pb碰撞在GeV~TeV能区的情形,并对未来大型强子对撞机升级(FCC与HE-LHC)中Pb+Pb碰撞进行了预测。结果表明,尽管不同方法得到的电磁场时间演化行为各异,但其强度均随\sqrts_\rmNN^ 的增加而迅速衰减。强磁场主要局域于参与碰撞核子的重叠区域,而强电场则随时间逐渐集中于该区域两侧。

     

    Abstract: In relativistic heavy-ion collisions, magnetic fields as strong as 1018~1019 G can be produced by near-light-speed nuclear impacts. We systematically investigate the spatiotemporal evolution of the electromagnetic (EM) fields using three theoretical approaches: solving Maxwell’s equations, estimating the vacuum EM fields, and applying the Liénard–Wiechert potential. Calculations are carried out for Au+Au, Zr+Zr, Ru+Ru, and Pb+Pb collisions across the GeV–TeV energy regions, including predictions for Pb+Pb collisions under future Large Hadron Collider upgrade scenarios (FCC and HE-LHC). Our results show that although the temporal evolution of the EM fields differs among the three methods, their intensities all decay rapidly with increasing \sqrts_\rmNN^ . The strong magnetic field is mainly localized in the overlapping region of the participating nucleons, while the strong electric field gradually concentrates on both sides of this region over time.

     

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