Can the π+ χc 1 resonance structures be D* over(D, ̄)* and D1 over(D, ̄) molecules?

Su Houng Lee, Kenji Morita, Marina Nielsen

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35 Citations (Scopus)

Abstract

We use QCD sum rules to study the recently observed resonance-like structures in the π+ χc 1 mass distribution, Z1+ (4050) and Z2+ (4250), considered as D* + over(D, ̄)* 0 and D1+ over(D, ̄)0 + D+ over(D, ̄)10 molecules with the quantum number JP = 0+ and JP = 1-, respectively. We consider the contributions of condensates up to dimension eight and work at leading order in αs. We obtain mD* D* = (4.15 ± 0.12) GeV, around 100 MeV above the D* D* threshold, and mD1 D = (4.19 ± 0.22) GeV, around 100 MeV below the D1 D threshold. We conclude that the D* + over(D, ̄)* 0 state is probably a virtual state that is not related with the Z1+ (4050) resonance-like structure. In the case of the D1 D molecular state, considering the errors, its mass is consistent with both Z1+ (4050) and Z2+ (4250) resonance-like structures. Therefore, we conclude that no definite conclusion can be drawn for this state from the present analysis.

Original languageEnglish
Pages (from-to)29-39
Number of pages11
JournalNuclear Physics A
Volume815
Issue number1-4
DOIs
Publication statusPublished - 2009 Jan 1

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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