论文标题
重脑海中的重膜阈值有效野外理论
Heavy meson thresholds in Born-Oppenheimer Effective field theory
论文作者
论文摘要
我们认为，在包含绝热膨胀的非依赖性eft的背景下，沉重的介子 - 抗时光及其与Quarkonium的耦合。我们确定了Quarkonium与重型中心齐森的所有领先顺序耦合，并获得了它们对Quarkonia群众和宽度的贡献。我们将新电位术语与NRQCD匹配。使用Quarkonium耦合系统的可用晶格数据和最低的沉积较重的Meson-Antimeson对，我们提取混合潜力，并用它来计算$ d \ bar {d}（b \ bar {b}）$ d_s $ d_s \ bar {d} d_s {d}的贡献（b \ bar {b} _s \ bar ys b y} Charmonium（Bottomonium）以$ L = 0,1,2 $且最多$ n = 6 $涵盖阈值区域的州。当Quarkonium状态和重的Meson-Antimeson对被较小的能量间隙隔开时，可以通过与接触相互作用的阈值EFT描述它们的相互作用。我们可以根据混合电势和Quarkonium波函数来确定获得阈值EFT耦合的两个EFT之间的匹配。
We consider heavy meson-antimeson pairs and their coupling to quarkonium in the context of nonrelativistic EFTs incorporating the adiabatic expansion. We work out all the leading order couplings of quarkonium to heavy meson-antimeson pairs and obtain their contributions to the masses and widths of quarkonia. We match the new potentials terms to NRQCD. Using the available lattice data for the coupled system of quarkonium and the lowest laying heavy meson-antimeson pair, we extract the mixing potential and use it to compute numerically the contributions of $D\bar{D}(B\bar{B})$ and $D_s\bar{D}_s(B_s\bar{B}_s)$ to the masses and widths of the charmonium (bottomonium) states for $l=0,1,2$ and up to $n=6$ covering the states in threshold region. When a quarkonium state and a heavy meson-antimeson pair are separated by small energy gaps, their interactions can be described by a threshold EFT with contact interactions. We work out the matching between the two EFTs obtaining the couplings of the threshold EFT in terms of the mixing potential and quarkonium wave functions.
