论文标题
朝着roper共振的有限体积光谱
Towards the finite-volume spectrum of the Roper resonance
论文作者
论文摘要
研究了基于两种味道的有效的Lagrangian在领先的一环秩序中对应于ROPER共振的有限体积能水平。结果表明，可以从这些水平中提取绳索质量，而不是太大的晶格量。此外，为了包括三体$nππ$动力学，引入了协变粒子二聚体图片中roper共振的非相关性有效场理论。这种颗粒二聚体方法是研究与绳索通道相关的三粒子散射的合适框架。分析了出现的二聚体场，计算有限体积中的roper共振的能级，并将其与手性有效Lagrangian的结果进行了比较。
The finite-volume energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian at leading one-loop order are investigated. It is shown that the Roper mass can be extracted from these levels for not too large lattice volumes. Further, to include three-body $N ππ$ dynamics, a non-relativistic effective field theory for the Roper resonance within a covariant particle-dimer picture is introduced. This particle-dimer approach is a suitable framework to investigate three-particle scattering relevant for the Roper channel. The appearing dimer fields are analyzed, the energy levels of the Roper resonance in a finite volume are calculated and compared to the results from the chiral effective Lagrangian.
