Effective functional form of Regge trajectories

Brisudová, Martina M.; Burakovsky, Leonid; Goldman, J.

doi:10.1103/physrevd.61.054013

Cited by 126 publications

(152 citation statements)

References 74 publications

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“…Screened confining potentials have been analyzed in the literature providing an explanation to the missing state problem in the baryon spectra [32], improving the description of the heavy-meson spectra [33], and justifying the deviation of the meson Regge trajectories from the linear behavior for higher angular momentum states [34]. Confinement also presents an spin-orbit contribution taken to be an arbitrary combination of scalar and vector terms of the form…”

Section: Calculating Frameworkmentioning

confidence: 99%

Open-charm meson spectroscopy

2006

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We present a theoretical framework that accounts for the new D J and D sJ mesons measured in the open-charm sector. These resonances are properly described if considered as a mixture of conventional P −wave quark-antiquark states and four-quark components. The narrowest states are basically P −wave quark-antiquark mesons, while the dominantly four-quark states are shifted above the corresponding two-meson threshold, being broad resonances. We study the electromagnetic decay widths as basic tools to scrutiny their nature. The proposed explanation incorporates in a natural way the most recently discovered mesons in charmonium spectroscopy.

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Section: Calculating Frameworkmentioning

confidence: 99%

Open-charm meson spectroscopy

2006

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“…From the values of the parameters we obtain a splitting energy σ/µ ≃ 2070 MeV and the energy thresholds E th (bb) ≃ 11400 MeV, E th (cb) ≃ 7973 MeV and E th (cc) ≃ 4547 MeV. Although these values have to be taken very cautiously (actually they are significantly lower than the ones obtained from a Regge analysis [17]) since they depend on the somewhat arbitrary Q 2 scale (see Sec. VI) the qualitative consequence is clear: the mere existence of a threshold means that a detected state above it would correspond to a wide resonance, a glueball or an exotic state.…”

Section: The Screened Funnel Potentialmentioning

confidence: 89%

Heavy meson description with a screened potential

et al. 2003

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We perform a quark model calculation of the bb and cc spectra from a screened funnel potential form suggested by unquenched lattice calculations. A connection between the lattice screening parameter and an effective gluon mass directly derived from QCD is established. Spin-spin energy splittings, leptonic widths and radiative decays are also examined providing a test for the description of the states.

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“…In Refs. [14,99,100], the authors noticed the curvature of the Regge trajectories for mesons but a few Regge trajectories were fitted, therefore, the generality of the concavity can not be illustrated. In Ref.…”

Section: Concavity Of the Regge Trajectoriesmentioning

confidence: 99%

Regge trajectories for the mesons consisting of different quarks

Chen

2018

Eur. Phys. J. C

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By applying the Bohr-Sommerfeld quantization approach to the quadratic form of the spinless Salpeter-type equation (QSSE), we show that the obtained Regge trajectories for the mesons consisting of unequally massive quarks take the form M 2 = β (c l l + π n r + c 0 )2/3 + c 1 , which have the same form as the Regge trajectories for charmonia and bottomonia. Then we apply the obtained Regge trajectories to fit the spectra of the strange mesons, the heavy-light mesons (the D, D s , B and B s mesons) and the bottom-charmed mesons. The fitted Regge trajectories are in agreement with the experimental data and the theoretical predictions, which demonstrates that the newly proposed Regge trajectories can be applied universally to the light mesons, the heavy-light mesons and the heavy mesons. By fitting the spectra of the mesons composed of different quarks, the concavity of these Regge trajectories are illustrated, which is of cardinal significance for the potential models.

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Effective functional form of Regge trajectories

Abstract: We present theoretical arguments and strong phenomenological evidence that hadronic Regge trajectories are essentially nonlinear and can be well approximated, for phenomenological purposes, by a specific square-root form.

Cited by 126 publications

References 74 publications

Open-charm meson spectroscopy

Open-charm meson spectroscopy

Heavy meson description with a screened potential

Regge trajectories for the mesons consisting of different quarks

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