论文标题

晶格QCD和有效理论的负值旋转1/2 $λ$ BARYON SPECTRUM

The negative-parity spin-1/2 $Λ$ baryon spectrum from lattice QCD and effective theory

论文作者

Pavao, Rafael, Gubler, Philipp, Fernandez-Soler, Pedro, Nieves, Juan, Oka, Makoto, Takahashi, Toru T.

论文摘要

在单位化的耦合通道框架中,使用晶格QCD和HADRONIC有效理论研究了负值Spin-1/2 $λ$ Baryons的频谱。通过考虑有限体积中的HADRONIC有效理论以及与晶格上研究的情况相对应的辐射质量和中间衰减常数,可以通过考虑两种方法之间的直接比较。比较各个州的能量水平谱和$ su(3)$风味分解,发现可以用两个$​​λ(1405)$ - 杆和$λ(1670)$ resonance中提取的最低两个状态。这两个晶格QCD级别的夸克质量依赖与其有效理论对应物非常吻合。但是,由于当前的晶格QCD研究仍然依靠三夸克操作员来生成物理状态,因此尚未看到与有限体积有效理论计算中出现的与中森 - 巴里昂散射状态相对应的明显信号。

The spectrum of the negative-parity spin-1/2 $Λ$ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. A direct comparison between the two approaches is possible by considering the hadronic effective theory in a finite volume and with hadron masses and mesonic decay constants that correspond to the situation studied on the lattice. Comparing the energy level spectrum and $SU(3)$ flavor decompositions of the individual states, it is found that the lowest two states extracted from lattice QCD can be identified with one of the two $Λ(1405)$-poles and the $Λ(1670)$ resonance. The quark mass dependences of these two lattice QCD levels are in good agreement with their effective theory counterparts. However, as current lattice QCD studies still rely on three-quark operators to generate the physical states, clear signals corresponding to the meson-baryon scattering states, that appear in the finite volume effective theory calculation, are not yet seen.

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