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Title: $X(3873$ and $Y(4140)$ using diquark-antidiquark operators with lattice QCD

We perform a lattice study of charmonium-like mesons with $$J^{PC}=1^{++}$$ and three quark contents $$\bar cc \bar du$$, $$\bar cc(\bar uu+\bar dd)$$ and $$\bar cc \bar ss$$, where the later two can mix with $$\bar cc$$. This simulation with $N_f=2$ and $$m_\pi=266$$ MeV aims at the possible signatures of four-quark exotic states. We utilize a large basis of $$\bar cc$$, two-meson and diquark-antidiquark interpolating fields, with diquarks in both anti-triplet and sextet color representations. A lattice candidate for X(3872) with I=0 is observed very close to the experimental state only if both $$\bar cc$$ and $$D\bar D^*$$ interpolators are included; the candidate is not found if diquark-antidiquark and $$D\bar D^*$$ are used in the absence of $$\bar cc$$. No candidate for neutral or charged X(3872), or any other exotic candidates are found in the I=1 channel. We also do not find signatures of exotic $$\bar cc\bar ss$$ candidates below 4.3 GeV, such as Y(4140). Possible physics and methodology related reasons for that are discussed. Along the way, we present the diquark-antidiquark operators as linear combinations of the two-meson operators via the Fierz transformations.
 [1] ;  [1] ;  [2]
  1. Univ. of Graz (Austria)
  2. Univ. of Ljubljana (Slovenia); Jozef Stefan Institute (Slovenia); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY--15-2017; DOE/OR/23177--3315; arXiv:1503.03257
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1600849
Grant/Contract Number:
N1-0020; AC05-06OR23177
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 1550-7998
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States