论文标题
在3D非共同空间中的Quarkonium群众
On quarkonium masses in 3D non-commutative space
论文作者
论文摘要
我们使用径向WKB和Pekeris-type近似值来修改Quarkonium质量的计算，以进行三维旋转不变空间的情况。我们获得对charmon（$ \ text {c} \ bar {\ text {c}} $）的更正（$ \ bar {c}} $），底部（$ \ text {b} \ bar {\ bar {\ text {b}} $）和底部链接中的Meson（$ \ text {c} c} \ bar {b bar {b bart {b bass {b}通过空间非交换性。对于普朗克量表的基本长度，我们以$ 10^{ - 39} $的顺序获得相对校正，并考虑到当前的实验数据，我们以$ {10^{ - 18} \ textrm {m}} $的顺序获得上限，用于基本长度的空间。
We modify the calculation of quarkonium masses using the radial WKB and Pekeris-type approximations for the case of three-dimensional, rotationally invariant non-commutative space. We obtain corrections to the charmonium ($\text{c}\bar{\text{c}}$), bottomonium ($\text{b}\bar{\text{b}}$) and bottom-charmed meson ($\text{c}\bar{\text{b}}$) masses due to the discrete short distance structure of the space introduced by the space non-commutativity. For the fundamental length at the Planck scale we obtain relative correction at the order of $10^{-39}$, and taking into account the current experimental data, we obtain the upper bound at the order of ${10^{-18}\textrm{ m}}$ for the fundamental length scale of space.
