能量位移和衰变宽度：来自耦合道单圈手征振幅的 kaonium
Energy shift and decay width of kaonium from coupled-channel one-loop chiral amplitudes
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中文总结 AI 辅助
基于耦合道单圈手征振幅，研究kaonium强作用能量位移和衰变宽度，发现基态宽度大于先前预言，且宽度依赖近阈值振幅的实部和虚部。
中文摘要 AI 辅助
利用两个拟合的耦合道单圈手征振幅，我们研究了假想的库仑束缚$K^+ K^-$强子原子——kaonium的强相互作用能量位移和衰变宽度。我们得到基态宽度为1.67和0.92 keV，两者均大于先前的kaonium预言，包括基于领头阶手征微扰理论的非微扰处理得到的0.30 keV结果。尽管从两个单圈振幅得到的$K^+ K^-$散射长度的虚部几乎相等，但它们的实部符号相反；因此，对宽度的主要吸收贡献相似，而库仑修正则作用方向相反。因此，kaonium宽度依赖于近阈值强振幅的实部和虚部。尽管基态宽度增加，前三个$s$波能级仍然分离。在光子聚变中，在固定极点面积和共振位置的情况下，内在宽度的增加对包含Belle实验分辨率后的线形影响可忽略不计。
英文摘要
Using two fitted coupled-channel one-loop chiral amplitudes, we investigate the strong-interaction energy shift and decay width of the hypothetical Coulomb-bound $K^+ K^-$ hadronic atom, kaonium. We obtain ground-state widths of 1.67 and 0.92 keV, which are both larger than previous kaonium predictions, including the 0.30 keV result obtained from a non-perturbative treatment based on leading-order chiral perturbation theory. Although the $K^+ K^-$ scattering lengths obtained from the two one-loop amplitudes have nearly equal imaginary parts, their real parts have opposite signs; thus, the leading absorptive contributions to the widths are similar, while the Coulomb corrections act in opposite directions. The kaonium width therefore depends on both the real and imaginary parts of the near-threshold strong amplitude. Despite the increased ground-state width, the first three $s$-wave levels remain separated. In photon fusion, at fixed pole area and resonance position, the increase in the intrinsic width has a negligible effect on the line shape after including Belle's experimental resolution.
