标题： 经典Skyrmions与重子相干态的等价性 II. 在紧致流形上的重子相干态构造 显示英文标题

标题： Equivalence of Classical Skyrmions and Coherent States of Baryons II. Baryonic Coherent State Construction on Compact Manifolds

摘要： 与从重离子碰撞中形成的小区域无序手征凝聚产生磁振子的可能性相关，研究了经典磁振子与重子态的直接关系。 认为磁振子是重子的相干态。 量子化集体坐标方法意味着物理重子态并非存在于平坦空间，而是在紧致流形上。 这需要在这样的曲线空间中构造相干态。 利用与塞格尔-巴尔格曼变换（也称为相干态变换，例如在量子引力的经典极限研究中使用）相关的技术，可以在Skyrme模型的框架内构造这些态。 它们直接由S^3上的重子态组成，但具有SO(3)流形上的量子算符。 从波函数的角度来看，它们是Adkins、Nappi和Witten的解析重子波函数的叠加。 因此，可以确定磁振子内部各个重子的相对概率分布。 显示英文摘要

摘要： In connection with the possibility of skyrmion production from small domain disoriented chiral condensates formation from heavy ion collisions, the direct relation of a classical skyrmion to baryon states is examined. It is argued that a skyrmion is a coherent state of baryons. The collective coordinate approach of quantization means that the physical baryon states exist not in flat space but on a compact manifold. This requires the construction of coherent states in such a curve space. Using the techniques associated with the Segal-Bargmann transform also known as the coherent state transform used for example in the study of the classical limit of quantum gravity, such states can be constructed in the context of the Skyrme model. They are made up directly of baryon states on S^3 but with quantum operators on the SO(3) manifold. In terms of wavefunctions, they are a superposition of the analytic baryon wavefunctions of Adkins, Nappi and Witten. The distribution of the baryon states in terms of the relative probabilities of the baryons inside a skyrmion can therefore be determined.