Radially Excited States of 1P Charmonia and X(3872)
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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 $χ_{c1}$.
4 pages, 5 figures, typos corrected, fig.3 replaced, references added, conclusion does not change
4 pages, 5 figures, typos corrected, fig.3 replaced, references added, conclusion does not change