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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, 5 figures, typos corrected, fig.3 replaced, references added, conclusion does not change

Scientific paper

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 $\chi_{c1}$.

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