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arXiv · hep-lat/0701021

Radially Excited States of 1P Charmonia and X(3872)

Ying Chen·Chuan Liu·Yubin Liu·Jianping Ma·Jianbo Zhang
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Abstract

The excited states of charmonia are numerically investigated in quenched lattice QCD with improved gauge and Wilson fermion actions formulated on anisotropic lattices. Through a constrained curve fitting algorithm, the masses of the first excited states in $0^{++}$, $1^{++}$, and $1^{+-}$ channels are determined to be 3.825(88), 3.853(57), and 3.858(70) GeV, respectively. Furthormore, a node structure is also observed in the Bethe-Salpeter amplitude of the $1^{++}$ first excited state. These observations indicate that X(3872) could be the first radial excitation of $χ_{c1}$.

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Ying Chen, Chuan Liu, Yubin Liu, Jianping Ma, Jianbo Zhang. 2008-07-18. Radially Excited States of 1P Charmonia and X(3872). https://arxiv.org/abs/hep-lat/0701021

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