Relativistic constituent quark model with infrared confinement

Abstract

We refine the relativistic constituent quark model developed in our previous papers to include the confinement of quarks. It is done, first, by introducing the scale integration in the space of alpha-parameters, and, second, by cutting this scale integration on the upper limit which corresponds to an infrared cutoff. In this manner one removes all possible thresholds presented in the initial quark diagram. The cutoff parameter is taken to be the same for all physical processes. We adjust other model parameters by fitting the calculated quantities of the basic physical processes to available experimental data. As an application, we calculate the electromagnetic form factors of the pion and the transition form factors of the omega and eta Dalitz decays.

19 pages, 8 figures, accepted for publication in Phys. Rev. D

References in corpus (15)

• Linear Confinement and AdS/QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Measurement of the gamma gamma* --> pi0 transition form factor
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Hadronic molecule structure of the Y(3940) and Y(4140)
• Magnetic moments of heavy baryons in the relativistic three-quark model
• Study of the electromagnetic transition form-factors in η-> μ^+μ^-γand ω-> μ^+μ^-π^0 decays with NA60
• Shape of Pion Distribution Amplitude
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• On the Pion Distribution Amplitude Shape
• Semileptonic decays of double heavy baryons in a relativistic constituent three-quark model
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Strong and radiative decays of the scalars f0(980) and a0(980) in a hadronic molecule approach
• The FORM project
• Weak decays of heavy hadron molecules involving the f0(980)

Cited by in corpus (66)

• Rare baryon decays Lambda_b -> Lambda l+ l- (l=e, mu, tau) and Lambda_b -> Lambda gamma : Differential and total rates, lepton- and hadron-side forward-backward asymmetries
• Implications of new physics in the decays $B_c\to (J/\psi ,{\eta }_c)\tau \nu$
• Strong decays of molecular states Zc(+) and Zc'(+)
• Analyzing new physics in the decays ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ with form factors obtained from the covariant quark model
• Radiative decay of Lambdac(2940)+ in a hadronic molecule picture
• Probing new physics in ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ using the longitudinal, transverse, and normal polarization components of the tau lepton
• Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement
• Decays of Zb(+) and Zb'(+) as hadronic molecules
• Radiative decays of double heavy baryons in a relativistic constituent three-quark model including hyperfine mixing
• Form factors for semileptonic, nonleptonic and rare $B(B_s)$ meson decays
• Semileptonic $D_{(s)}$-meson decays in the light of recent data
• One-photon decay of the tetraquark state $X(3872)\to \gamma +J/\psi$ in a relativistic constituent quark model with infrared confinement
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Exclusive decays $B\to {\ell }^{-}\bar{\nu }$ and $B\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ in the covariant quark model
• Nonleptonic two-body decays of single heavy baryons ${\Lambda }_Q$, ${\Xi }_Q$, and ${\Omega }_Q$ $(Q=b,c)$ induced by $W$ emission in the covariant confined quark model
• Polarization effects in the cascade decay Lambda_b -> Lambda(-> p pi-) + J/psi(-> l+ l-) in the covariant confined quark model
• Heavy-to-light semileptonic decays of Lambda_b and Lambda_c baryons in the covariant confined quark model
• $B_c$ mesons and their properties on the light front
• Charmed baryon Sigmac(2800) as a ND hadronic molecule
• Four-quark structure of Zc(3900), Z(4430) and Xb(5568) states
• Selected strong decays of $\eta (2225)$ and $\varphi (2170)$ as $\Lambda \bar{\Lambda }$ bound states
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Light baryons and their electromagnetic interactions in the covariant constituent quark model
• Strong three-body decays of Lambdac(2940)+
• Semileptonic Decays of Charmed Mesons to Light Scalar Mesons
• Radiative and dilepton decays of the hadronic molecule Zc(3900)+
• On the meson mass spectrum in the covariant confined quark model
• Study of $B_c$ decays into charmonia and $D$ mesons
• Form factors of the B-S-transitions in the covariant quark model
• Exclusive decays $J/\psi \to D_{(s)}^{(\ast )-}{\ell }^{+}{\nu }_{\ell }$ in a covariant constituent quark model with infrared confinement
• $Z_b(10610)$ and $Z_b^{\prime }(10650)$ decays in a covariant quark model
• Study of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ decays in covariant quark model
• Semileptonic decays of $B_c$ mesons into charmonium states
• Decay $B_s\to \varphi {\ell }^{+}{\ell }^{-}$ in covariant quark model
• Novel ideas in nonleptonic decays of double heavy baryons
• Test of the multiquark structure of $a_1(1420)$ in strong two-body decays
• Form factors and branching fraction calculations for $B_s\to D_s^{(\ast )}{\ell }^{+}{\nu }_{\ell }$ in view of LHCb observation
• Decays $B_s\to J/\psi +\eta$ and $B_s\to J/\psi +{\eta }^{\prime }$ in the framework of covariant quark model
• Weak production of strange and charm ground-state baryons in nuclei
• Towards a Born term for hadrons
• Decay $B\to K^{\ast }(\to K\pi ){\ell }^{+}{\ell }^{-}$ in covariant quark model
• Radiative decays $D^*_{(s)}\to D_{(s)}γ$ in covariant confined quark model
• $D^{\ast }$ Polarization as an Additional Constraint on New Physics in the $b\to c\tau {\bar{\nu }}_{\tau }$ Transition
• Nucleon tensor form factors in a relativistic confined quark model
• Weak nonleptonic decays of vector B-mesons
• Isospin-violating strong decays of scalar single-heavy tetraquarks
• Bounds on lepton flavor violating physics and decays of neutral mesons from $\tau (\mu )\to 3\ell ,\ell \gamma \gamma$-decays
• Prediction of various observables for $B_s^0\to D_s^{(\ast )-}{\ell }^{+}{\nu }_{\ell }$ within covariant confined quark model
• Study of the nonleptonic decay ${\Xi }_c^0\to {\Lambda }_c^{+}{\pi }^{-}$ in the covariant confined quark model
• QCD analysis of electromagnetic Dalitz decays $J/\psi \to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD
• $B\to K^{(\ast )}\nu \bar{\nu }$ in covariant confined quark model
• $B_c^{\ast }$ meson parameters and radiative decay width within the covariant confined quark model
• Polarization observables in semileptonic $V\to P$ decays of quarkonia
• $B\to \rho$ Decay Form Factors from Covariant Confined Quark Model
• Analysis of the nonleptonic two-body decays of the $\Lambda$ hyperon
• Probing the ATOMKI X17 vector boson using Dalitz decays $V\to P{e}^{+}{e}^{-}$
• $B_s\to K^{\ast 0}$ decay form factors from covariant confined quark model
• Study of $B_s^0\to l^{+}{l}^{-}\gamma$ decays in the nonuniversal Z' model
• Study of angular observables in exclusive semileptonic $B_c$ decays
• Decay $B_c^{+}\to D_{(s)}^{(\ast )+}{\ell }^{+}{\ell }^{-}$ within covariant confined quark model
• Investigating the internal structure of $X(6900)$ in the $2J/\psi$ decay channel
• Semileptonic decays of $\rho$, $\omega$, $\varphi$, $\eta$ and ${\eta }^{\prime }$ mesons in ground and first radially excited states in the $U(3)\times U(3)$ NJL model
• Anomalies in Weak Decays of Hadrons Containing a b Quark
• Radiative transitions of charmonium states in the covariant confined quark model
• Perturbative method to estimate meson masses in the framework of Bethe-Salpeter equation beyond its dominant interaction