Mass formula for light nonstrange mesons and Regge trajectories in quark model

Jia, Duojie; Pang, Cheng-Qun

doi:10.1142/s0217751x17501536

Cited by 11 publications

(10 citation statements)

References 53 publications

(132 reference statements)

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“…In many models, the total potential between quarks is given by Cornell potential with some hyperfine terms of correction, and the mass spectrum is solved in relative Jacobi coordinates [8,10,13,30,31,35,50]. In [50], by semi classical approximation and Bohr-Sommerfeld quantization, the Regge-like relation E ∼ L 2α/(α+2) and E ∼ n 2α/(α+2) for large (n, L) is derived for power-law confining potentials V ∝ r α .…”

Section: Introductionmentioning

confidence: 99%

Mass Spectrum of Dirac Equation with Local Parabolic Potential

Gu¹

2020

JHEPGC

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In this paper, we solve the eigen solutions and mass strectra of the Dirac equation with local parabolic potential which is approximately equal to the short distance potential generated by spinor itself. The mass spectrum is quite different from that of a spinor in Coulomb potential. The masses of some baryons are similar to this one. The mass-angular momentum relation m = m(J, n) is quite similar to the Regge trajectories. The parabolic potential has property of asymptotic freedom near the center and confinement at large distance. So the results imply that, the local parabolic potential may be more suitable for describing nuclear potential approximately. The solving procedure can also be used to solve the Dirac equation with other complicated potential.where (a, b, m 0 ) are constants for the exited states of the same kind particle. In many cases, the factors satisfies b ≤ a ≤ 2b [3,4]. The Regge trajectory is an important tool widely used * Electronic address: yqgu@fudan.edu.cn

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Section: Introductionmentioning

confidence: 99%

Mass Spectrum of Dirac Equation with Local Parabolic Potential

Gu¹

2020

JHEPGC

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“…The number n enumerates the states on these "radial" Regge trajectories. The available experimental data on light non-strange mesons seem to confirm the linear Regge behavior (1) [2][3][4][5][6][7][8][9][10][11][12][13][14].…”

Section: Regge Trajectories and Degeneracy In Light Meson Spectrummentioning

confidence: 80%

Regge trajectories in light and heavy mesons: the pattern of appearances and possible dynamical explanations

Afonin

2020

Preprint

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I briefly review the Regge approach to the hadron spectrum and advocate a dynamical emergence of principal quantum number in the known spectrum of light non-strange mesons. Further it is shown how the linear radial trajectories with universal slope can be extended to heavy quarkonia and a qualitative string interpretation is given. After that I discuss a recently proposed non-string model leading to a natural appearance of linear Regge trajectories and explaining many mass relations.

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“…where δ j is the same as in (38) with the replacement l → j. Note, that both forms (42) and (48) coincide to the lowest order O ((Zα) 2 ).…”

Section: The Case Of the (Color) Coulomb Interactionmentioning

confidence: 99%

Exact relativistic Green’s functions for the time-independent potentials

Simonov

2019

Phys. Rev. D

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Relativistic formalism of Green's functions is discussed in QCD and QED, where the relativistic Green's functions are constructed using the Schwinger proper time formalism and analysed using the Fock-Feynman-Schwinger method. As a result a simple and exact method is found for the relativistic systems, where the interaction can be written in a time-independent form. In this case one can write the relativistic Green's function as a one-dimensional integral of the corresponding nonrelativistic Green's function. The explicit example for the problem of a charge in the constant magnetic field is discussed in detail, and the exact agreement with the Schwinger relativistic form is demonstrated. A similar analysis is performed in the relativistic Coulomb problem, supporting the accuracy of the proposed relativistic formalism.

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Mass formula for light nonstrange mesons and Regge trajectories in quark model

Cited by 11 publications

References 53 publications

Mass Spectrum of Dirac Equation with Local Parabolic Potential

Mass Spectrum of Dirac Equation with Local Parabolic Potential

Regge trajectories in light and heavy mesons: the pattern of appearances and possible dynamical explanations

Exact relativistic Green’s functions for the time-independent potentials

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