Dynamical regimes of the QCD string with quarks

Dubin, A. Yu.; Kaǐdalov, A. B.; Simonov, Yu. A.

doi:10.1016/0370-2693(94)00056-5

Cited by 177 publications

(98 citation statements)

References 10 publications

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“…It is worth noting that Eq. (4) also reduces to a spinless Salpeter equation with an instantaneous interaction, for an arbitrary value of L, when the contributions coming from the flux tube vanish ( a = C = 0):…”

Section: A Flux Tube Equationsmentioning

confidence: 99%

Mesons in the relativistic flux tube model

Semay

Silvestre‐Brac²

1995

Phys. Rev. D

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The relativistic flux tube model is used to describe the spectra of all mesons, including the pseudoscalar light nonet. Quite good results are obtained, provided the flux tube is supplemented by a Coulomb-like potential, an interaction inspired from instanton effects, and a negative constant energy. Three different procedures to introduce this constant are compared, and two different Ansätze are tested to simulate the asymptotic freedom phenomenon. A matix method to solve the coupled nonlinear equations of the asymmetric flux tube is presented

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Section: A Flux Tube Equationsmentioning

confidence: 99%

Mesons in the relativistic flux tube model

Semay

Silvestre‐Brac²

1995

Phys. Rev. D

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“…To calculate m.e. E if we use RSH H 0 [22], which is simplified in case of heavy quarkonia when one can neglect a string and self-energy corrections, arriving at a simple form (widely used in relativistic potential models with the constituent quark masses in the kinetic term [25,26]):…”

Section: Radiative Decaysmentioning

confidence: 99%

“…The expression (10) was used in [17] to find the position of the pole for shifted 2 3 P 1 charmonium state, while its unperturbed value E 2 was calculated with the use of RSH [22] to be E 2 ¼ 3948 AE 10 MeV [23]. In [17] Fig.…”

Section: Coupled-channel Mechanismmentioning

confidence: 99%

Ratio of decay widths ofX(3872)toψ′γandJ/ψ

et al. 2012

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Radiative decays of Xð3872Þ with J PC ¼ 1 þþ are studied in the coupled-channel approach, where the c " c states are described by the relativistic string Hamiltonian, while for the decay channels DD Ã a stringbreaking mechanism is used. Within this method a sharp peak and correct mass shift of the 2 3 P 1 charmonium state just to the D 0 D Ã0 threshold was already obtained for a prescribed channel coupling to the DD Ã decay channels. For the same value of coupling the normalized wave function (w.f.) of Xð3872Þ acquires admixture of the 1 3 P 1 component with the weight c 1 ¼ 0:153 ( ¼ 8:8 ), which increases the transition rate ÀðXð3872Þ ! J=c Þ up to 50-70 keV, making the ratio R ¼ BðXð3872Þ!c 0 Þ BðXð3872Þ!J=c Þ ¼ 0:8 AE 0:2ðthÞ significantly smaller, as compared to R ' 5 for Xð3872Þ as a purely 2 3 P 1 state.

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“…In Eq. (1),m i are the current (pole) quark masses, while m i are the constant auxiliary einbein fields, initially introduced in order to get rid of the square roots appearing in the Hamiltonian (see [8] and references therein). These einbein fields are eventually treated as variational parameters.…”

Section: The Effective Hamiltonian In Fcmmentioning

confidence: 99%

10.1007/s11450-008-2014-7

Driga¹,

Narodetskii²,

Veselov³

2010

CrossRef Listing of Deleted DOIs

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We carry out an investigation of the P -wave hyperons Λ, Σ, and Ξ employing the field correlator method in QCD. This method allows us to derive the effective Hamiltonian (EH) approach successfully applied to the meson and ground-state baryon spectra. The EH is written in the form of the nonrelativistic three-quark Hamiltonian with perturbative Coulomb-like and nonperturbative string interactions and the specific mass term. We solve the three-quark problem using the hyperspherical approach. With only two parameters, the string tension σ and the strong coupling constant α s , a unified quantitative description of the ground and excited hyperon states is achieved. In particular, we predict that all the hyperon states have the similar cost (in ∆L) ∼460 MeV.

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Dynamical regimes of the QCD string with quarks

Cited by 177 publications

References 10 publications

Mesons in the relativistic flux tube model

Mesons in the relativistic flux tube model

Ratio of decay widths ofX(3872)toψ′γandJ/ψ

10.1007/s11450-008-2014-7

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