“…A potential problem in that value is the insufficient control of theoretical uncertainties in the transition matrix elements to guarantee an accuracy at a percent level, especially when the radial excitations are involved. The corresponding transition matrix elements have been computed by using quark models [3][4][5][6]. 1 Indeed the resulting value m η b = 9390.9±2.1 MeV extracted from the BaBar experiment [1,2] was consistent with the value obtained from the similar measurements made at CLEO [8,9], leading to the following value of the hyperfine splitting [10],…”
Section: Introductionsupporting
confidence: 68%
“…Simulations of QCD with 1 For a complete reviews with extensive lists of references please see ref. [3][4][5][6][7].…”
We present the results of our lattice QCD study of the hadronic matrix elements relevant to the physical radiative J/ψ → η c γ and h c → η c γ decays. We used the twisted mass QCD action with N f = 2 light dynamical quarks and from the computations made at four lattice spacings we were able to take the continuum limit. Besides the form factors parameterizing the above decays we also computed: (i) the hyperfine splitting and obtained ∆ = 112 ± 4 MeV, (ii) the annihilation constant f J/ψ which agrees with the one inferred from the measured Γ(J/ψ → e + e − ).
“…A potential problem in that value is the insufficient control of theoretical uncertainties in the transition matrix elements to guarantee an accuracy at a percent level, especially when the radial excitations are involved. The corresponding transition matrix elements have been computed by using quark models [3][4][5][6]. 1 Indeed the resulting value m η b = 9390.9±2.1 MeV extracted from the BaBar experiment [1,2] was consistent with the value obtained from the similar measurements made at CLEO [8,9], leading to the following value of the hyperfine splitting [10],…”
Section: Introductionsupporting
confidence: 68%
“…Simulations of QCD with 1 For a complete reviews with extensive lists of references please see ref. [3][4][5][6][7].…”
We present the results of our lattice QCD study of the hadronic matrix elements relevant to the physical radiative J/ψ → η c γ and h c → η c γ decays. We used the twisted mass QCD action with N f = 2 light dynamical quarks and from the computations made at four lattice spacings we were able to take the continuum limit. Besides the form factors parameterizing the above decays we also computed: (i) the hyperfine splitting and obtained ∆ = 112 ± 4 MeV, (ii) the annihilation constant f J/ψ which agrees with the one inferred from the measured Γ(J/ψ → e + e − ).
In the past decade many charmonium-like states were observed experimentally. Especially those charged charmoniumlike Z c states and bottomonium-like Z b states can not be accommodated within the naive quark model. These charged Z c states are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. Recently, the LHCb Collaboration discovered two hidden-charm pentaquark states, which are also beyond the quark model. In this work, we review the current experimental progress and investigate various theoretical interpretations of these candidates of the multiquark states. We list the puzzles and theoretical challenges of these models when confronted with the experimental data. We also discuss possible future measurements which may distinguish the theoretical schemes on the underlying structures of the hidden-charm multiquark states.
“…[6,7] On the other hand, as already mentioned in Ref. [3], we cannot apply the weak-binding relations (1) to the system which has a CDD (Castillejo-Dalitz-Dyson) pole [8] near the threshold. The CDD pole is defined as the pole of the inverse amplitude f −1 .…”
We study the compositeness of near-threshold states to clarify the internal structure of exotic hadron candidates. Within the framework of effective field theory, we extend the Weinberg's weak-binding relation to include the nearby CDD (Castillejo-Dalitz-Dyson) pole contribution with the help of the Padé approximant. Finally, using the extended relation, we conclude that the CDD pole contribution to the Λ(1405) baryon in theKN amplitude is negligible.
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