具有手性激发的$\bar{K}N$相互作用的$\bar{K}NN$体系的Faddeev计算。I.低能$K^- d$散射和反K介子氘
Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. I. Low-energy $K^- d$ scattering and antikaonic deuterium
摘要：
构造了一个手征激发的耦合通道$\bar{K}N$势，再现了$K^- p$散射和K介子氢的所有低能实验数据，适合于精确的少体计算.使用耦合$\bar{K}NN$和$πΣN$通道的Faddeev型AGS方程，将势用于计算弹性$K^- d$散射的低能振幅。构造了一个再现三体$K^- d$振幅的复$K^- - d$势，并用于计算K介子氘的$1s$能级位移和宽度。预测的位移$ΔE_{1s}^{K^- d} \sim -830$ eV和宽度$Γ_{1s}^{K^- d} \sim 1055$ eV接近于我们之前用唯象$\bar{K}N$势获得的结果。
英文摘要：
A chirally-motivated coupled-channel $\bar{K}N$ potential, reproducing all low-energy experimental data on $K^- p$ scattering and kaonic hydrogen and suitable for using in accurate few-body calculations, was constructed. The potential was used for calculations of low-energy amplitudes of the elastic $K^- d$ scattering using Faddeev-type AGS equations with coupled $\bar{K}NN$ and $πΣN$ channels. A complex $K^- - d$ potential reproducing the three-body $K^- d$ amplitudes was constructed and used for calculation of $1s$ level shift and width of kaonic deuterium. The predicted shift $ΔE_{1s}^{K^- d} \sim -830$ eV and width $Γ_{1s}^{K^- d} \sim 1055$ eV are close to our previous results obtained with phenomenological $\bar{K}N$ potentials.
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