用反应扩散方程研究LHC能pp碰撞形成DCC的可能性
Possibility of DCC formation in pp collisions at LHC energy via reaction-diffusion equation
摘要：
有迹象表明，在LHC能量下的高多重pp碰撞中形成了热化介质。这样的介质可能达到足够高的能量密度/温度，使得可以实现夸克-胶子等离子体的瞬态阶段，其中手征对称性被恢复。由于快速的三维膨胀，系统将迅速冷却，发生自发的手征对称性破缺跃迁。我们利用最近用于研究相对论重离子碰撞中QCD跃迁的反应扩散方程方法，研究了对称性破缺跃迁后手征场的动力学。我们表明，这样一个快速膨胀的系统的内部可能会导致形成一个单一的大域的迷失方向的手性凝聚物（DCC），这一直是一个主题的密集搜索在早期的实验。我们认为，大的多重PP碰撞自然会产生所需的边界条件的存在缓慢传播的反应扩散方程的前沿解决方案，从而导致形成一个大的DCC域的手征场的动力学。
英文摘要：
There are indications of formation of a thermalized medium in high multiplicity pp collisions at LHC energy. It is possible that such a medium may reach high enough energy density/temperature so that a transient stage of quark-gluon plasma, where chiral symmetry is restored, may be achieved. Due to rapid 3-dimensional expansion, the system will quickly cool undergoing spontaneous chiral symmetry breaking transition. We study the dynamics of chiral field, after the symmetry breaking transition, for such an event using reaction-diffusion equation approach which we have recently applied for studying QCD transitions in relativistic heavy-ion collisions. We show that the interior of such a rapidly expanding system is likely to lead to the formation of a single large domain of disoriented chiral condensate (DCC) which has been a subject of intensive search in earlier experiments. We argue that large multiplicity pp collisions naturally give rise to required boundary conditions for the existence of slowly propagating front solutions of reaction-diffusion equation with resulting dynamics of chiral field leading to the formation of a large DCC domain.
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