Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

Duviryak, Askold

doi:10.3842/sigma.2008.048

Cited by 6 publications

(8 citation statements)

References 43 publications

(137 reference statements)

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“…13 Such an approach is here extended to the orbital excited meson mass spectra of heavy mesons as well as light mesons.…”

Section: -9mentioning

confidence: 99%

Orbital excited meson mass spectra in the solvable potential model of two-body Dirac equation

Chen

2014

Int. J. Mod. Phys. Conf. Ser.

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The meson mass spectra are obtained by solving exactly the two-body Dirac equation for the linear plus Coulomb potentials with complex spin-angular structure. In such a solvable model, the orbital excited heavy meson states as well as the orbital light meson states agree well with available experimental data. It turns out that the quark-antiquark interaction potential may be more intricate than those predicted so far.

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“…13 Such an approach is here extended to the orbital excited meson mass spectra of heavy mesons as well as light mesons.…”

Section: -9mentioning

confidence: 99%

Orbital excited meson mass spectra in the solvable potential model of two-body Dirac equation

Chen

2014

Int. J. Mod. Phys. Conf. Ser.

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“…In addition a "local-momentum" approximation is suggested to find the Dirac-type equations of Refs. [2][3][4] for two-body spectra with vanishing total spin.…”

Section: Introductionmentioning

confidence: 99%

Semi-Relativistic Two-Body States of Spinless Particles with a Scalar-Type Interaction Potential

Thylwe¹

2018

Commun. Theor. Phys.

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“…Mass spectra of light mesons possess typical features which can be summarized roughly in the following idealized picture [9,[14][15][16]]:…”

Section: Introductionmentioning

confidence: 99%

Regge trajectories in the framework of the relativistic action-at-a-distance theory

Duviryak¹

2015

J. Phys. Stud.

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A relativistic quark model of mesons formulated within the formalism of Fokker-type action integrals is proposed, in which an interquark interaction is mediated by a massless vector field and scalar-vector superposition of higher derivative fields. In the non-relativistic limit the model describes a two-particle system with the Cornell potential. In order to analyze the model in the essentially relativistic domain the perturbed circular orbit approximation is applied which permits one to perform the canonical quantization of the model. It is shown that the model reproduces well specific features of the light meson spectroscopy.

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Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

Cited by 6 publications

References 43 publications

Orbital excited meson mass spectra in the solvable potential model of two-body Dirac equation

Orbital excited meson mass spectra in the solvable potential model of two-body Dirac equation

Semi-Relativistic Two-Body States of Spinless Particles with a Scalar-Type Interaction Potential

Regge trajectories in the framework of the relativistic action-at-a-distance theory

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