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arXiv 2005.11865nucl-th
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形变奇质量核的有效场论

Effective field theory for deformed odd-mass nuclei

T. Papenbrock, H. A. Weidenmüller

备注：
24 pages, 6 figures; discussion amplified in several places and one figure added; accepted for publication in Physical Review C
发表信息：
Phys. Rev. C 102, 044324 (2020)
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摘要：

本文发展了形变奇质量核的有效场论。这些被描述为一个轴对称的核心，一个核子耦合。在固定于堆芯的坐标系中，核子受轴对称势的支配。功率计数是基于核心的低层旋转和高层状态之间的尺度分离。在首阶中，核与核子通过泛导数项耦合。这些包括一个协变导数和规范的潜力，占科里奥利力和相关的贝里相位现象。在主导阶，EFT结合粒子转子和尼尔森模型。我们计算了次至主导级的EFT，并以$^{239}$ Pu和$^{187}$ Os为例说明了结果。在主导级，具有转动带头的奇质量核在能量上接近，角动量相差一个单位时，发生三轴形变。对于能量分离良好的带头，三轴性成为一种次引导效应。本文提出的EFT提出了一种模型独立的方法，能够系统地改进的颗粒转子系统。

英文摘要：

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.

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