String potential model: Spinless quarks

LaCourse, Dan; Olsson, M. G.

doi:10.1103/physrevd.39.2751

Cited by 98 publications

(162 citation statements)

References 17 publications

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“…The transition to a linearly rising potential at large quark-antiquark separation is evident from lattice simulations. The associated "flux tube" field distribution has long been an attractive starting point to develop classical and semi-classical meson models [1] and non-relativistic hybrid and glueball models [2] as well as relativistic quantized models of meson dynamics [3]. Buchmüller [4] has proposed that a flux tube which is purely chromoelectric in its rest (co-moving) frame must yield a spin-orbit interaction that is only of the kinematic (Thomas) type.…”

Section: Introductionmentioning

confidence: 99%

Quark confinement dynamics

et al. 1997

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Starting from Buchmüller's observation that a chromoelectric flux tube meson will exhibit only the Thomas type spin-orbit interaction, we show that a model built upon the related assumption that a quark feels only a constant radial chromoelectric field in its rest frame implies a complete relativistic effective Hamiltonian that can be written explicitly in terms of quark canonical variables. The model yields linear Regge trajectories and exhibits some similarities to scalar confinement, but with the advantage of being more closely linked to QCD.

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Section: Introductionmentioning

confidence: 99%

Quark confinement dynamics

et al. 1997

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“…The logarithmic behavior of the right-hand side of (1) emerges naturally if one has the following large-n asymptotics: F 2 n ∼ const, M 2 n ∼ 2 n. Such a Regge-like behavior for masses of radially excited states appears in the twodimensional QCD in the planar limit [9], Veneziano dual amplitudes [10,11], and various hadron string models [12][13][14][15][16][17]. In addition, the relation F 2 n = const can be regarded as a natural consequence of the string picture even without assumption on Regge behavior [18].…”

Section: Introductionmentioning

confidence: 99%

The sigma meson from QCD sum rules for large- $$N_c$$ N c Regge spectra

Afonin¹,

Solomko²

2016

Eur. Phys. J. C

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The QCD sum rules in the large-N c limit for the light non-strange vector, axial and scalar mesons are considered assuming a string-like linear spectrum for the radially excited states. We propose an improved method for combined analysis of these channels that gives a reasonable description of the observed spectrum. In the vector-axial case, fixing the pion decay constant and the gluon condensate we obtain more or less physical values for the masses of ground states and the quark condensate. Thus a typical need for this method to fix the mass of some ground state is overcome. Using in the scalar channel the values of presumably universal slope of radial trajectories and the quark condensate obtained in the vector-axial channel, we find that, in contrast to some strong claims in the literature, a prediction of light scalar state with a mass close to the mass of f 0 (500) seems to be natural in the considered approach and may follow in a natural way from the Regge phenomenology.

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“…In the original RFT model [6], the meson is composed by two spinless particles -a quark and an antiquark -which move being attached with a flux tube. This tube is assumed to be linear with a uniform constant energy density a and carries angular momentum.…”

Section: The Modelsmentioning

confidence: 99%

“…The quarks are considered as spinless particles in the original version of the model [6,7,8]. The RFT reproduces the linear Regge trajectories, and reduces to the usual Schrödinger equation with a linear confinement potential in the nonrelativistic limit.…”

Section: Introductionmentioning

confidence: 99%