论文标题
变形的奇数核的有效场理论
Effective field theory for deformed odd-mass nuclei
论文作者
论文摘要
我们为变形的奇数核开发了一个有效的场理论（EFT）。这些被描述为将核子耦合的轴向对称芯。在固定在核心上的坐标系中，核子具有轴向对称电位。功率计数基于低洼旋转和核心较高层状态之间尺度的分离。以领先的顺序，核心和核子通过通用衍生术语结合。这些包含一个协方差衍生物和量规电位，这些衍生物和量规电位解释了科里奥利力并与浆果相现象有关。在领先顺序，EFT结合了粒子旋转和尼尔森模型。我们将eft删除到近代领先的顺序，并以$^{239} $ pu和$^{187} $ OS说明结果。在领先顺序，具有旋转带头的奇数核在能量上紧密且与一个单位的角动量不同。对于能量良好分离的带头，三轴性变成了跨脱头效应。本文开发的EFT介绍了一种与粒子旋转系统无关的方法，该方法能够进行系统的改进。
We develop an effective field theory (EFT) for deformed odd-mass nuclei. These are described as an axially symmetric core to which a nucleon is coupled. In the coordinate system fixed to the core the nucleon is subject to an axially symmetric potential. Power counting is based on the separation of scales between low-lying rotations and higher-lying states of the core. In leading order, core and nucleon are coupled by universal derivative terms. These comprise a covariant derivative and gauge potentials which account for Coriolis forces and relate to Berry-phase phenomena. At leading order, the EFT combines the particle-rotor and Nilsson models. We work out the EFT up to next-to-leading order and illustrate the results in $^{239}$Pu and $^{187}$Os. At leading order, odd-mass nuclei with rotational band heads that are close in energy and differ by one unit of angular momentum are triaxially deformed. For band heads that are well separated in energy, triaxiality becomes a subleading effect. The EFT developed in this paper presents a model-independent approach to the particle-rotor system that is capable of systematic improvement.
