论文标题
汉密尔顿有效野外理论中的金官氢和氘
Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory
论文作者
论文摘要
介绍了由哈密顿有效的实验数据和晶格QCD研究的有效现场理论分析产生的抗KAON核子散射长度。然后使用相同的哈密顿量来计算$ k^ - d $系统的散射长度，仔细考虑后坐力对评估$ \ bar {k} n $ t矩阵的能量的影响。然后，这些结果用于估计$ 1S $ $的抗Kaonic氢和氘的变化和宽度。 $ k^ - p $结果与Siddharta的测量非常共识。在$ k^ - d $案例中，散射长度的虚构部分，因此$ 1S $状态的宽度比早期工作中的宽度大得多。这是后坐力对$ \ bar {k} n $能量能量的影响的结果，这增强了$λ（1405）$共振的作用。
The anti-kaon nucleon scattering lengths resulting from a Hamiltonian effective field theory analysis of experimental data and lattice QCD studies are presented. The same Hamiltonian is then used to compute the scattering length for the $K^- d$ system, taking careful account of the effects of recoil on the energy at which the $\bar{K}N$ T-matrices are evaluated. These results are then used to estimate the shift and width of the $1S$ levels of anti-kaonic hydrogen and deuterium. The $K^- p$ result is in excellent agreement with the SIDDHARTA measurement. In the $K^- d$ case the imaginary part of the scattering length and consequently the width of the $1S$ state are considerably larger than found in earlier work. This is a consequence of the effect of recoil on the energy of the $\bar{K}N$ energy, which enhances the role of the $Λ(1405)$ resonance.
