Heavy quarkonia in a covariant Salpeter model

Resag, Jörg; Münz, C.R.

doi:10.1016/0375-9474(95)00203-d

Cited by 25 publications

(35 citation statements)

References 23 publications

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“…In [37], the cc system was studied in terms of scalar (S) and vector (V) confinement forcesboth variants are presented in tables 1,2,3. The results obtained in the nonrelativistic approach to the cc system [38] are also shown in tables 1,2,3.…”

Section: Radiative Transitionsmentioning

confidence: 99%

“…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%

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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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Section: Radiative Transitionsmentioning

confidence: 99%

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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“…4a. This is readily calculated as shown by Godfrey and Isgur [16], Ackleh and Barnes [17], Klempt et al [18], Resag and Münz [19], Schuler et al [20], and many others. The result simplifies for heavy fermion systems, where one can safely take the non-relativistic limit.…”

Section: Resonance Dynamicsmentioning

confidence: 96%

“…Meaningful non-perturbative computations should be possible soon. Table 1 Radiative widths of some charmonium states predicted by variations on the modelling [16,17,19] described in the text compared with the PDG'98 average [23] -in the case of the χ c0 this is just one experiment. Table 2 Radiative widths of some typical light meson states as predicted by two models [18,19], compared with the PDG'98 averages [23].…”

Section: Resonance Dynamicsmentioning

confidence: 99%

Exclusive channels in γγ reactions: Light at the end of the tunnel?

Pennington

2000

Nuclear Physics B - Proceedings Supplements

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The physics that can be learnt by studying exclusive channels in two photon interactions is recalled. This serves as an introduction to the Exclusive Reaction session of Photon'99. WHY EXCLUSIVE CHANNELSOur main source of information about two photon interactions is the classic Weizsäcker-Williams process e + e − → e + e − X, where for exclusive channels X is typically two to six mesons or a baryon-antibaryon final state. The bulk of the data is obtained without tagging. Then, thanks to the behaviour of the photon propagator, the photons are almost on-shell. By factoring off the known e + e − γ vertices, we learn about real γγ reactions -see for example [1]. With tagging one can, of course, also investigate important γ * γ collisions. I will not review these, but rather refer to the later talk of Bernard Pire [2]. We can also study the time reversed process, as in E835 at Fermilab, by looking at pp → γγ [3]. Now consider the γγ → M M cross-section as a function of the γγ c.m. energy W . A typical example is shown in Fig. 1. There one sees the crosssection rise from threshold, then have structure and subsequently decline. This cross-section naturally divides into three kinematic regions which correspond to three different dynamical regimes. In each case the photon couples to the electric charge of a point-like object, but what it sees as point-like changes with energy. At low energy, close to threshold, the photon has long wavelength and sees the whole of the final state hadron and couples to its electric charge. This teaches us about hadron dynamics. As the energy increases and the wavelength of the photon shortens, it sees the charged components of the hadron, the constituent quarks. Coupling to them, it causes them * Travel supported by EEC-TMR Network EuroDAΦNE, Contract No. CT98-0169.

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“…This extra term is generated by nonperturbative interactions and introduced into the Bethe-Salpeter either as additional vector or scalar t-channel contribution (see e.g. [35]). …”

Section: Schroedinger Equation From Analyticity and Unitaritymentioning

confidence: 99%

Lorentz-boosted description of a heavy quarkonium

et al. 2015

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In this paper we study the relation between the light-front (infinite momentum) and rest-frame descriptions of quarkonia. While the former is more convenient for high-energy production, the latter is usually used for the evaluation of charmonium properties. In particular, we discuss the dynamics of a relativistically moving system with nonrelativistic internal motion and give relations between rest frame and light-front potentials used for the description of quarkonium states. We consider two approximations, first the small coupling regime, and next the nonperturbative small binding energy approximation. In both cases we get consistent results. Our results could be relevant for the description of final state interactions in a wide class of processes, including quarkonium production on nuclei and plasma. Moreover, they can be extended to the description of final state interactions in the production of weakly bound systems, such as for example the deuteron.

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Heavy quarkonia in a covariant Salpeter model

Cited by 25 publications

References 23 publications

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

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

Exclusive channels in γγ reactions: Light at the end of the tunnel?

Lorentz-boosted description of a heavy quarkonium

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