Relativistic effects and the constituent quark model of heavy quarkonia

Beyer, Michael; Bohn, U.; Huber, Max; Metsch, B.; Resag, Jörg

doi:10.1007/bf01482594

Cited by 24 publications

(38 citation statements)

References 19 publications

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“…In addition, we get non-zero widths for D-wave mesons, like ψ(3770) and ψ(4160), although the calculated widths are much smaller than the experimental ones, as also observed in Ref. [5].…”

Section: Resultssupporting

confidence: 83%

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Extended van Royen–Weisskopf formalism for lepton–antilepton meson decay widths within nonrelativistic quark models

Blanco

Bonnaz²,

Silvestre‐Brac³

et al. 2002

Nuclear Physics A

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The classical van Royen-Weisskopf formula for the decay width of a meson into a lepton-antilepton pair is modified in order to include non-zero quark momentum contributions within the meson as well as relativistic effects. Besides, a phenomenological electromagnetic density for quarks is introduced. The meson wave functions are obtained from two different models: a chiral constituent quark model and a quark potential model including instanton effects. The modified van Royen-Weisskopf formula is found to improve systematically the results for the widths, giving an overall good description of all known decays.

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Section: Resultssupporting

confidence: 83%

“…Therefore, our formalism will be on the same spirit as that of Ref. [5]. In order to calculate the corresponding Feynman amplitude we modify our non-relativistic wave function including a relativistic spinor.…”

Section: Introductionmentioning

confidence: 99%

Extended van Royen–Weisskopf formalism for lepton–antilepton meson decay widths within nonrelativistic quark models

Blanco

Bonnaz²,

Silvestre‐Brac³

et al. 2002

Nuclear Physics A

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“…However, a closer look reveals that relativistic effects are non-negligible even for mesons involving only heavy quarks. We found that those are particularly important for M1 transitions in charmonium and even in the form factors of B-meson decays [15,16]. We also found that non-covariance of the non-relativistic model may lead to inconsistencies for the B decay form factors of about 5 − 10% [16].…”

Section: Introductionmentioning

confidence: 73%

Weak decays of heavy mesons in the instantaneous Bethe Salpeter approach

Zöller¹,

Hainzl²,

Münz³

et al. 1995

Z. Phys. C - Particles and Fields

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In the framework of the instantaneous Bethe Salpeter equation we investigate weak decays of B and D mesons. Mesons are described as qq states interacting via a mixture of a scalar and a vector confining kernel and a one gluon exchange. The model parameters are fixed by a fit to the meson mass spectrum including also the light mesons. We calculate form factors and compare our results to the pole dominance hypothesis. From a fit to ARGUS and CLEO data on B → D * ℓν semileptonic decay we extract the Cabbibo Kobayashi Maskawa matrix element to be V cb = (0.032 ± 0.003)(1.49ps/τ B ) 1/2 . The Isgur Wise function is calculated utilizing the heavy quark mass limit. Finally, we give some results on non-leptonic decays.

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“…The results obtained in the nonrelativistic approach to the cc system [38] are also shown in tables 1,2,3.…”

Section: Radiative Transitionsmentioning

confidence: 87%

“…In both relativistic [36,37] and nonrelativistic [38] approaches, there is rather large discrepancy between the data and calculated values of ψ(nS) → e + e − (in [36] the width of the transition J/ψ → e + e − was fixed with the use of a subtraction parameter). In our opinion, the reason is that in all above-mentioned papers, soft interaction of quarks was not accounted for -we mean the processes shown in Fig.…”

Section: Radiative Transitionsmentioning

confidence: 99%

Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia

et al. 2007

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In the precedent paper of the authors (hep-ph/0510410), the bb states were treated in the framework of the spectral integral equation, together with simultaneous calculations of radiative decays of the considered bottomonia. In the present paper, such a study is carried out for the charmonium (cc) states. We reconstruct the interaction in the ccsector on the basis of data for the charmonium levels with J P C = 0 −+ , 1 −− , 0 ++ , 1 ++ , 2 ++ , 1 +− and radiative transitions ψ(2S) → γχ c0 (1P ), γχ c1 (1P ), γχ c2 (1P ), γη c (1S) and χ c0 (1P ), χ c1 (1P ), χ c2 (1P ) → γJ/ψ. The cc levels and their wave functions are calculated for the radial excitations with n ≤ 6. Also, we determine the cc component of the photon wave function using the e + e − annihilation data: e + e − → J/ψ(3097), ψ(3686), ψ(3770), ψ(4040), ψ(4160), ψ(4415) and perform the calculations of the partial widths of the twophoton decays for the n = 1 states: η c0 (1S), χ c0 (1P ), χ c2 (1P ) → γγ, and n = 2 states: η c0 (2S) → γγ, χ c0 (2P ), χ c2 (2P ) → γγ. We discuss the status of the recently observed cc states X(3872) and Y (3941): according to our results, the X(3872) can be either χ c1 (2P ) or η c2 (1D), while Y (3941) is χ c2 (2P ).

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Relativistic effects and the constituent quark model of heavy quarkonia

Cited by 24 publications

References 19 publications

Extended van Royen–Weisskopf formalism for lepton–antilepton meson decay widths within nonrelativistic quark models

Extended van Royen–Weisskopf formalism for lepton–antilepton meson decay widths within nonrelativistic quark models

Weak decays of heavy mesons in the instantaneous Bethe Salpeter approach

Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia

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