Abstract:We consider the X (3872) resonance as a J PC = 1 ++ DD * hadronic molecule. According to heavy quark spin symmetry, there will exist a partner with quantum numbers 2 ++ , X 2 , which would be a D * D * loosely bound state. The X 2 is expected to decay dominantly into DD, DD * andD D * in d-wave. In this work, we calculate the decay widths of the X 2 resonance into the above channels, as well as those of its bottom partner, X b2 , the mass of which comes from assuming heavy flavor symmetry for the contact terms… Show more
“…The analogous states of the X(3872), such as X b involving b quarks, were investigated in Refs. [653,654,655,656,657,658,659,660,661,662,663]. 4.5.5.2.…”
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.
“…The analogous states of the X(3872), such as X b involving b quarks, were investigated in Refs. [653,654,655,656,657,658,659,660,661,662,663]. 4.5.5.2.…”
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.
“…1 for two different regularisation schemes one is led to conclude that the nonperturbative treatment of the pions generates a significant shift of the 2 ++ spin partner of the X(3872) and makes it as broad as 50 ± 10 MeV, which is much larger than in the perturbative treatment of Ref. [11]. The width is largely controlled by unitarity and coupled-channel dynamics revealing only a rather mild cutoff dependence.…”
Section: Beyond the Hqss Limitmentioning
confidence: 91%
“…Within a theory with perturbative pions, in Ref. [11], the width of the 2 ++ state was estimated to lie in the range from just a few units to about a dozen MeV, depending on a particular model used for the pion form factor-see Table I of Ref. [11].…”
Section: Beyond the Hqss Limitmentioning
confidence: 99%
“…[11], the width of the 2 ++ state was estimated to lie in the range from just a few units to about a dozen MeV, depending on a particular model used for the pion form factor-see Table I of Ref. [11]. However, we expect the nonperturbative pion dynamics to be especially relevant for the transitions at hand since the momenta of the DD and DD * pairs, q 1 and q 2 , are much larger than the other soft scales in the problem: q 1 = √ 2µ(2δ) ≈ 700 MeV and q 2 = √ 2µ * δ ≈ 500 MeV.…”
Section: Beyond the Hqss Limitmentioning
confidence: 99%
“…[9,10] that one should expect a shallow molecular partner state for the X(3872) in the D * D * channel with the quantum numbers J PC = 2 ++ , while in Ref. [11], the width of this state was estimated to be as small as a few MeV using an effective field theory with perturbative pions (X-EFT).…”
Heavy quark spin symmetry (HQSS) partners of the X(3872) J PC = 1 ++ molecule are discussed in a coupled-channel approach with non-perturbative pions. In the strict heavy-quark limit the 1 ++ molecular state has three degenerate partner states with the 1 +− , 0 ++ and 2 ++ quantum numbers. In the presence of pions this result is shown to be correct only if all allowed coupled-channel transitions between the DD, DD * and D * D * channels governed by the one-pion exchange potential are included.In particular, it is demonstrated that neglecting some of the coupled-channel transitions leads to a severe violation of HQSS as well as to regulator-dependent results for the partner states. The effect of HQSS violations by the D * -D mass difference on the properties of the 2 ++ partner state of the X(3872) is also discussed.
Exploiting B-meson decays for Standard Model tests and beyond requires a precise understanding of the strong final-state interactions that can be provided modelindependently by means of dispersion theory. This formalism allows one to deduce the universal pion-pion final-state interactions from the accurately known ππ phase shifts and, in the scalar sector, a coupled-channel treatment with the kaon-antikaon system. In this work an analysis of the decaysB 0 d → J/ψπ + π − andB 0 s → J/ψπ + π − is presented. We find very good agreement with the data up to 1.05 GeV in the ππ invariant mass, with a number of parameters reduced significantly compared to a phenomenological analysis. In addition, the phases of the amplitudes are correct by construction, a crucial feature for many CP violation measurements in heavy-meson decays.
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