Searching for the $X(3872)$ and $$Z_c^+(3900)$$ on HISQ Lattices
- Utah U.
- Fermilab
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. This is the first such study with HISQ sea quarks and light valence quarks. To this end, we describe a variational method for treating staggered quarks that incorporates both oscillating and non-oscillating components.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Organization:
- Fermilab Lattice; MILC
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1329224
- Report Number(s):
- FERMILAB-CONF-14-449-T; arXiv:1411.1389; 1326150
- Country of Publication:
- United States
- Language:
- English
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