We determine the helicity amplitudes A_1/2 and radiative decay widths in the transition Lambda(1670) to gamma Y (Y=Lambda or Sigma^0). The Lambda(1670) is treated as a dynamically generated resonance in meson-baryon chiral dynamics. We obtain the radiative decay widths of the Lambda(1670) to gamma Lambda as 3 \pm 2 keV and to gamma Sigma^0 as 120 \pm 50 keV. Also, the Q^2 dependence of the helicity amplitudes A_1/2 is calculated. We find that the K Xi component in the Lambda(1670) structure, mainly responsible for the dynamical generation of this resonance, is also responsible for the significant suppression of the decay ratio Gamma_{gamma Lambda}/Gamma_{gamma Sigma^0}. A measurement of the ratio would, thus, provide direct access to the nature of the Lambda(1670). To compare the result for the Lambda(1670), we calculate the helicity amplitudes A_1/2 for the two states of the Lambda(1405). Also, the analytic continuation of Feynman parameterized integrals of more complicated loop amplitudes to the complex plane is developed which allows for an internally consistent evaluation of A_1/2.
Photoproduction of the Lambda(1405) on the proton and nuclei
我们利用手征幺正模型研究了在接近阈值能量下的γ p -> K^+ λ(1405)反应。在手征幺正模型中,共振是由K^-p与重子和介子的八重态构成的其他通道相互作用动态产生的。预测了几个通道的截面,结果表明,K^+的探测足以确定λ(1405)共振的形状和强度。确定原子核的共振性质需要探测共振衰变通道。泡利阻塞效应对共振的影响,已经被证明是非常重要的共振在休息的核,是无关紧要的,在这里产生的共振与一个大的动量。因此,这里的核修饰提供了关于共振和K^-核动力学的信息,与迄今为止K^-原子提供的信息是互补的。
我们在这里提出的一些结果支持的性质的$Λ(1405)$共振动态产生的介子重子相互作用在耦合通道和两个接近的极点的叠加。我们在$K^- p \to π^0 π^0 Σ^0 $反应中发现了对这一图像的支持,该反应显示出与从$π^- p \to K^0 πΣ$反应获得的不同的形状。我们还呼吁注意的$K^- p \to γπΣ$与$πΣ$在$Λ(1405)$区域,这表明在1420 MeV附近的计算中的窄峰。我们还报告最近的计算的两个$Λ(1405)$状态的辐射衰变和反应,以获得这些衰变模式的信息。最后,我们目前的$pp\to p K^+Λ(1405)$反应最近在ANKE/COSY测量的结果,并与理论结果进行比较。