相对论性重离子碰撞中的量子对称性恢复与涌现有效形变
Quantum Symmetry Restoration and Emergent Effective Deformation in Relativistic Heavy-Ion Collisions
AI总结：
本文通过非正交生成坐标法构建旋转不变的基态，在光学极限下利用局域输运密度近似，证明旋转对称性恢复作为几何低通滤波器指数抑制有效形变模式，建立了连接旋转对称性恢复、集体重叠局域化与高能碰撞中原子核有效形变几何的微观框架。
摘要：
经典形变核几何通常用于标准描述两个偶偶核之间的相对论性碰撞，尽管它们的精确基态是旋转不变的$0^+$态。在本文中，我们基于非正交生成坐标法构建的旋转不变基态，直接从程函散射矩阵公式化碰撞几何。在光学极限下，利用碰撞通道单体响应的局域输运密度近似，旋转重叠局域化产生与散射过程相关的有效单体密度。在此近似内，使用高斯重叠近似及其热核表示，我们证明旋转对称性恢复充当几何低通滤波器，指数抑制有效形变模式。对于大的内禀角动量涨落，经典刚体极限得以恢复。我们建立了一个微观框架，连接了高能碰撞中原子核的旋转对称性恢复、集体重叠局域化和有效形变几何。
英文摘要：
Classically deformed nuclear geometries are commonly employed in standard descriptions of relativistic collisions between two even-even nuclei, despite the fact that their exact ground states are rotationally invariant $0^+$ states. In this paper, we formulate the collision geometry directly from the eikonal scattering matrix based on a nonorthogonal Generator Coordinate Method construction of rotationally invariant ground states. In the optical limit, using a localized transported-density approximation for the collision-channel one-body response, rotational overlap localization generates an effective one-body density associated with the scattering process. Within this approximation, using the Gaussian Overlap Approximation and its heat-kernel representation, we show that rotational symmetry restoration acts as a geometric low-pass filter which exponentially suppresses effective deformation modes. The classical rigid-rotor limit is recovered for large intrinsic angular momentum fluctuations. We establish a microscopic framework connecting rotational symmetry restoration, collective overlap localization, and the effective deformation geometries of nuclei in high energy collisions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
