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C. Michael, Nucl. Phys. B 259
1985
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M. Lüscher and U. Wolff, Nucl. Phys. B 339
1990
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A. X. El-Khadra, A. S. Kronfeld and P. B. Mackenzie, Phys. Rev. D 55
1997
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2014

Lee, Song-haeng, DeTar, Carleton, Mohler, Daniel et al.

We present preliminary simulation results for the I = 0 charmonium state $X(3872)(1^{++})$ and the I = 1 charmonium state $Z_c^+(3900)(1^{+-})$.

The study is performed on gauge field configurations with 2+1+1 flavors of highly improved staggered sea quarks (HISQ) with clover (Fermilab interpretation) charm quarks and HISQ light valence quarks.
Since the $X(3872)$ lies very close to the open charm $D \bar D^*$ threshold, we use a combination of $\bar c c$ and $D \bar D^* + \bar D D^*$ interpolating operators.
For the $Z_c^+(3900)$ we use a combination of $J/\psi \pi$ and $D \bar D^* + \bar D D^*$ channels.

C. Michael, Nucl. Phys. B 259
1985
Earlier work this paper cites.
M. Lüscher and U. Wolff, Nucl. Phys. B 339
1990
Earlier work this paper cites.
A. X. El-Khadra, A. S. Kronfeld and P. B. Mackenzie, Phys. Rev. D 55
1997
Earlier work this paper cites.
S. K. Choi et al
2003
Earlier work this paper cites.
D. Acosta et al
2004
Earlier work this paper cites.
V. M. Abazov et al
2004
Earlier work this paper cites.
B. Aubert et al
2005
Earlier work this paper cites.
B. Aubert et al
Original
2008
Earlier work this paper cites.
T. Aaltonen et al
Original
2009
Earlier work this paper cites.