The heavy mesons in Nambu--Jona-Lasinio model

Guo, Xiao-Yu; Chen, Xiaolin; Deng, Wei-Zhen

doi:10.48550/arxiv.1205.0355

Cited by 3 publications

(11 citation statements)

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“…The weak decay constants of some of charged pseudoscalar mesons (f ps ) are also presented. NJL-type models usually do not reproduce these observables reasonably well [72,23] and this problem remains for the model as defined in this work even with the variation of all the parameters considered. It has been argued that considerably smaller coupling constants G 0 can reach values close to experimental ones for the heavy B, B s [24] however we did not perform an arbitrary and independent variation of coupling constants.…”

Section: Pseudoscalar and Scalar Mesons Spectrum And Observablesmentioning

confidence: 92%

“…• the limit of zero mixings [G i =j → 0 in Eqs. (20)(21)(22)(23) and in Eq. ( 2)]: [inside brackets],…”

Section: Pseudoscalar and Scalar Mesons Spectrum And Observablesmentioning

confidence: 99%

“…When the mixing interactions are switched off in Eqs. (20)(21)(22)(23) (results inside brackets) the couplings G f f are modified leading to changes in the effective masses. For the case of up quark effective mass, the resulting M * u is changed so that the BSE of the pion no longer has a solution and the pion decay constant cannot be calculated.…”

Section: Pseudoscalar and Scalar Mesons Spectrum And Observablesmentioning

confidence: 99%

“…Among the most successful hadron effective models, in particular for the low energies regime, the Nambu-Jona Lasinio (NJL) model and its extensions [18,19,20,21,22] are expected to be appropriate whenever chiral symmetry and its DChSB are relevant. Standard treatments of the NJL for flavor U(5), sometimes with modifications usually incorporating heavy quark symmetry, have also been already considered [23,24,25,26,27]. The model has also been source of inspiration for high energies interactions [28].…”

Section: Introductionmentioning

confidence: 99%

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U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses

Sousa¹,

Braghin²

2023

Preprint

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By considering the background field method we calculate one-loop polarization corrections to the coupling constant of the flavor-U(5) Nambu-Jona-Lasinio (NJL) model. They break flavor and chiral symmetries and they can be written as G Γ ij ( ψλiΓψ)( ψλjΓψ), for the scalar and pseudoscalar channels (Γ = I, iγ5) and i, j = 0.1, ...N 2 f − 1. Their contribution to different observables are computed: masses of quark-antiquark meson states (pseudoscalar and scalar), pseudoscalar meson weak decay constants, quark-antiquark scalar condensates. The quantum mixing effect is responsible for a lowering of quark effective masses and a slight improvement of predictions of observables, although a certain flavor dependence of the ultraviolet cutoff (Λ f ) is still needed. By considering a non-covariant three dimensional regularization scheme this cutoff flavor dependence is implemented in an unambiguous way for the computation of the one loop integrals, and their values (Λ f ) are in fact found to be very close to each other, i.e. nearly flavor-independent. The NJL-gap equations are found to overestimate the heavy quark condensates. The pseudoscalar and scalar mesons are defined in terms of the generators of the adjoint representation and the complete polarization tensors lead to surprisingly good descriptions of all the pseudoscalar and scalar meson masses -within 5% or 7% -including controversial states such as the light scalars f0(500) − f0(980) (as quarkantiquark states) and the pseudoscalar η's. However, the usual problem to describe the correct mass hierarchy of some light scalar mesons still remains. In spite of the surprisingly good description of the meson masses the pseudoscalar meson weak decay constant cannot be described by the NJL model without further interactions or effects.

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Section: Pseudoscalar and Scalar Mesons Spectrum And Observablesmentioning

confidence: 92%

“…• the limit of zero mixings [G i =j → 0 in Eqs. (20)(21)(22)(23) and in Eq. ( 2)]: [inside brackets],…”

Section: Pseudoscalar and Scalar Mesons Spectrum And Observablesmentioning

confidence: 99%

Section: Pseudoscalar and Scalar Mesons Spectrum And Observablesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses

Sousa¹,

Braghin²

2023

Preprint

View full text Add to dashboard Cite

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“…This degeneracy is lifted by introducing the spin-dependent interactions coming from 1/m Q order. Based on this heavy-quark flavor-spin symmetry, there has been a great deal of theoretical works on properties of both the lowest-lying and excited heavy mesons: lattice QCD [10][11][12][13][14][15], the nonrelativistic and relativistic quark models [16][17][18][19][20], potential models [21][22][23][24][25][26], QCD sum rules [27][28][29] , holographic QCD [30], and so on.…”

Section: Introductionmentioning

confidence: 99%

Mass spectra of heavy mesons with instanton effects

Hiyama

Kim

et al. 2018

Progress of Theoretical and Experimental Physics

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We investigate the mass spectra of ordinary heavy mesons, based on a nonrelativistic potential approach. The heavy-light quark potential contains the Coulomb-type potential arising from onegluon exchange, the confining potential, and the instanton-induced nonperturbative local heavy-light quark potential. All parameters are theoretically constrained and fixed. We carefully examine the effects from the instanton vacuum. Within the present form of the local potential from the instanton vacuum, we conclude that the instanton effects are rather marginal on the charmed mesons.

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Charm and beauty content of the pion and kaon in the Flavor U(5) Nambu-Jona-Lasinio model

Sousa¹,

Braghin²

2023

Preprint

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We consider a U(5)-Nambu-Jona-Lasinio model with flavor-dependent couplings constants obtained from quark-antiquark polarization to investigate the role of the heavy quarks for light constituent quarks and mesons. A quantum mixing, due to the different representations of the flavor group needed to defined quarks and mesons, lead to charm and beauty sea quark contributions to properties of the light quark sector. For a given fitting procedure for the parameters of the model, the charm and beauty quark effective masses are freely varied from very small values to very large values (infinite). The effect of these variations on pion and kaon observables, such as masses, weak decay constants and condensates, is calculated. Although the pion mass can vary (seemingly too much) up to 20% for a very large variation of heavy quark effective masses, their contributions for the kaon mass are at most of the order of 2% and all the other variables and observables, including up and down quark constituent masses, vary at most around 1%.

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The heavy mesons in Nambu--Jona-Lasinio model

Cited by 3 publications

References 0 publications

U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses

U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses

Mass spectra of heavy mesons with instanton effects

Charm and beauty content of the pion and kaon in the Flavor U(5) Nambu-Jona-Lasinio model

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