PDMATHAAB He（飞行中$K^-$，$n$）谱中的深束缚态$K^- pp$及其在$πΣN$阈值附近的移动极点
Deeply-bound $K^- pp$ state in the $^3$He(in-flight $K^-$, $n$) spectrum and its moving pole near the $πΣN$ threshold
摘要：
在扭曲波脉冲近似下，用格林函数方法研究了$^3$ He（in-flight $K^-$，$n$）反应形成的含$I=1/2$，$J^π=0^-$的深度束缚态$K^- pp$.在$p_{K^-} = 1.0$ GeV/c和$θ_{\rm lab} = 0^{\circ}$的预期的包容性和半排他性的光谱计算为即将到来的J-PARC E15实验。我们证明了这些光谱与几种类型的唯象$K^-$ -"$pp$"的光学势$U^{\rm opt}(E)$有一个依赖于能量的虚部乘以相空间抑制因子，拟合到最近的理论预测或实验候选的$K^-pp$束缚态。结果表明，在$πΣN$阈值处的尖状峰是$K^-pp$束缚态在光谱中的唯一信号，包括来自双核子$K^-$吸收的[ $K^-pp$ ] $\to$ $Y + N$衰变过程，以及$K^-pp$束缚态的明显峰。的频谱的形状解释的轨迹的移动极点的$K^-pp$束缚态在复杂的能量平面。强调了从双核子$K^-$吸收中得到的[ $K^-pp$ ] $\to$ $Y + N$光谱的重要性，以提取$K^-pp$结合态的明确证据。
英文摘要：
The formation of a deeply-bound $K^- pp$ state with $I=1/2$, $J^π=0^-$ by the $^3$He(in-flight $K^-$, $n$) reaction is theoretically investigated in a distorted-wave impulse approximation using the Green's function method. The expected inclusive and semi-exclusive spectra at $p_{K^-} = 1.0$ GeV/c and $θ_{\rm lab} = 0^{\circ}$ are calculated for the forthcoming J-PARC E15 experiment. We demonstrate these spectra with several types of phenomenological $K^-$-``$pp$'' optical potentials $U^{\rm opt}(E)$ which have an energy-dependent imaginary part multiplied by a phase space suppression factor, fitting to recent theoretical predictions or experimental candidates of the $K^-pp$ bound state. The results show that a cusp-like peak at the $πΣN$ threshold is an unique signal for the $K^-pp$ bound state in the spectrum including the [$K^-pp$] $\to$ $Y + N$ decay process from the two-nucleon $K^-$ absorption, as well as a distinct peak of the $K^-pp$ bound state. The shape of the spectrum is explained by a trajectory of a moving pole of the $K^-pp$ bound state in the complex energy plane. The importance of the spectrum with [$K^-pp$] $\to$ $Y + N$ from the two-nucleon $K^-$ absorption is emphasized in order to extract clear evidence of the $K^-pp$ bound state.
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