Mesons in the relativistic flux tube model

Semay, Claude; Silvestre‐Brac, B.

doi:10.1103/physrevd.52.6553

Cited by 26 publications

(56 citation statements)

References 21 publications

(33 reference statements)

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“…But, in order to compare our results with previous studies and to use our method with physical parameters in interesting ranges, we will use the values of physical quantities from the models Ia and Ic developed in Ref. [8] (see Table I). Both models possess a coulomb term with three values of the strength, depending on the quark content of the meson: κ hl for heavy-light system, κ hh for heavy-heavy system, and κ ll for light-light system (light quark: u, d, s; heavy quark:…”

Section: Set Of Parameters a Physical Parametersmentioning

confidence: 99%

“…[8] (see Table I). All the masses are computed with N = 30, η = 10 −6 , the scale parameter h is estimated thanks to Eq.…”

Section: A Relativistic Flux Tubementioning

confidence: 99%

“…Meson masses are presented in Table III with the corresponding ones computed with the method developed in Ref. [8], relying on a harmonic oscillator basis. Experimental data are given in order to show that the parameters used are physically relevant.…”

Section: A Relativistic Flux Tubementioning

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%

“…These equations depend on a quark transverse velocity operator and their solutions will be obtained by the use of an iterative procedure similar to the one proposed in Ref. [8].…”

Section: Introductionmentioning

confidence: 99%

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Lagrange mesh, relativistic flux tube, and rotating string

Buisseret

Semay

2005

Phys. Rev. E

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Section: Set Of Parameters a Physical Parametersmentioning

confidence: 99%

“…[8] (see Table I). All the masses are computed with N = 30, η = 10 −6 , the scale parameter h is estimated thanks to Eq.…”

Section: A Relativistic Flux Tubementioning

confidence: 99%

Section: A Relativistic Flux Tubementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…These equations depend on a quark transverse velocity operator and their solutions will be obtained by the use of an iterative procedure similar to the one proposed in Ref. [8].…”

Section: Introductionmentioning

confidence: 99%

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Lagrange mesh, relativistic flux tube, and rotating string

Buisseret

Semay

2005

Phys. Rev. E

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Hybrid mesons in the context of the relativistic equation

Zakout

Sever

1997

Zeitschrift f�r Physik C Particles and Fields

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The flux tube model of hybrid mesons is studied in the context of the relativistic equation in the adiabatic approximation. The moment of inertia of the rigid-rod flux tube is considered in the kinetic part of the interaction. The nonrelativistic and relativistic one scalar bead flux tube is integrated numerically and compared with the adiabatic flux tube small oscillation approximation. The relativistic scalar bead picture suggests that the lowest gluonic excitation of a massive gluon is color octet qq pair while the conventional mesons are color singlet as usual. We estimate the lowest hybrid charmonium states as 1 1 P = 4.17 ± 0.03 and 1 1 D = 4.39±0.05 GeV with color octet qq pair and as 1 1 P = 3.78± 0.05 and 1 1 D = 4.04 ± 0.09 GeV with color singlet qq pair. These results are also confirmed by the adiabatic flux tube small oscillation approximation when the hybrid energy gap is adjusted phenomenologically to M Hc = M ground + 1GeV. I IntroductionRecently, the flux tube model has received much attention as a unifying concept for quark spectroscopy, hybrid states and glueballs. Hybrids are formed by combining a gluonic excitation with quarks and they span complete flavor nonets to include the lightest J P C exotics. Isgur and Paton [1-5] treated the combined quark and flux tube system using an adiabatic approach where the flux tube and quark degree of freedom are separated. This is accomplished by fixing the qq separation at r and determining an eigenenergy E Λ (r) of the flux tube. The ground and first excited flux tube potential surfaces E 0 (r) and E 1 (r), which are the lowest orbital excitations about the qq axis, lead to the conventional and lightest hybrid meson states, respectively. By using a Hamiltonian Monte Carlo technique Barnes et al. [6] have concluded that the adiabatic approximation is reasonable although it overestimates the excited L conventional meson states but underestimate the hybrid meson states. However, almost all of the corrections may be incorporated into a redefinition of the potential surfaces to include the moment of inertia of the string [3]. Olsson and coworkers [7][8][9][10][11][12] have formulated a quantized relativistic rigid-rod flux tube model for mesons in which the flux tube terminates on fermionic quarks with arbitrary mass. In their model the string always lies in a straight line between the quarks and the quarks move freely so that both rotation and radial motion can occur. The entire system is quantized in orbital angular momentum and energy [10]. The formalism for fermionic quark confinement is unusual in that the string rigid-rod moment of inertia is introduced into the kinetic rather than the usual interaction term. This is consistent with the corrections of Merlin and Paton [3] where the string rigid-rod moment of inertia is included in the centrifugal-barrier term of the effective radial Hamiltonian. However, the rigid-rod flux tube model developed by Olsson is difficult to solve [10-13], since the quantization of the meson is reduced to a transcendental alg...

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Potential models and meson spectra

Semay

Silvestre‐Brac²

1997

Nuclear Physics A

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Mesons in the relativistic flux tube model

Cited by 26 publications

References 21 publications

Lagrange mesh, relativistic flux tube, and rotating string

Lagrange mesh, relativistic flux tube, and rotating string

Hybrid mesons in the context of the relativistic equation

Potential models and meson spectra

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