论文标题

有限体积的roper共振的粒子二聚体方法

Particle-dimer approach for the Roper resonance in a finite volume

论文作者

Severt, Daniel, Mai, Maxim, Meißner, Ulf-G.

论文摘要

我们提出了一种新的有限体积方法,该方法基于有效的现场理论拉格朗日语以透明的方式实现了两体和三体动力学。形式主义利用粒子二聚体图片,并基于衰减粒子的自能源制定量化条件。使用晶格QCD和现象学的输入,研究了roper共振的形式主义。最后,预测有限体积能量特征值并将其与晶格QCD计算的现有结果进行了比较。这至关重要地提供了有关有限体积频谱必要的精度水平的初步指导。

We propose a new finite-volume approach which implements two- and three-body dynamics in a transparent way based on an Effective Field Theory Lagrangian. The formalism utilizes a particle-dimer picture and formulates the quantization conditions based on the self-energy of the decaying particle. The formalism is studied for the case of the Roper resonance, using input from lattice QCD and phenomenology. Finally, finite-volume energy eigenvalues are predicted and compared to existing results of lattice QCD calculations. This crucially provides initial guidance on the necessary level of precision for the finite-volume spectrum.

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