从哈密顿有效场论看$\mathbf{Λ(1405)}$的结构
Structure of the $\mathbf{Λ(1405)}$ from Hamiltonian effective field theory
摘要：
的$Λ(1405)$的极点结构进行检查，通过拟合耦合的基础哈密顿有效场论的横截面的$K^- p$散射在无限体积的限制。然后从理论上获得的晶格体积谱，并比较了$Λ(1405)$的质量的格点量子色动力学结果。动量相关的，不可分离的潜力，由著名的温伯格Tomozawa条款的动机，与SU（3）味对称性破缺的耦合和质量。此外，我们研究的光谱的行为上的影响，从列入一个裸露的三夸克类同位旋零基态。发现无论是否引入裸重子基态，对于$Λ(1405)$，在两个复极点的情况下，所得到的截面与实验数据是一致的。然而，很明显，裸重子对于描述高π质量的格点量子色动力学的结果是重要的。
英文摘要：
The pole structure of the $Λ(1405)$ is examined by fitting the couplings of an underlying Hamiltonian effective field theory to cross sections of $K^- p$ scattering in the infinite-volume limit. Finite-volume spectra are then obtained from the theory, and compared to lattice QCD results for the mass of the $Λ(1405)$. Momentum-dependent, non-separable potentials motivated by the well-known Weinberg-Tomozawa terms are used, with SU(3) flavour symmetry broken in the couplings and masses. In addition, we examine the effect on the behaviour of the spectra from the inclusion of a bare triquark-like isospin-zero basis state. It is found that the cross sections are consistent with the experimental data with two complex poles for the $Λ(1405)$, regardless of whether a bare baryon basis state is introduced or not. However, it is apparent that the bare baryon is important for describing the results of lattice QCD at high pion masses.
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