Electromagnetic structure and weak decay of pseudoscalar mesons in a light-front QCD-inspired model

AbstractMore than ten $$\Omega _c^0$$ Ω c 0 weak decay modes have been measured with the branching fractions relative to that of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$ Ω c 0 → Ω - π + . In order to extract the absolute branching fractions, the study of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$ Ω c 0 → Ω - π + is needed. In this work, we predict $${{\mathcal {B}}}_\pi \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\pi ^+)=(5.1\pm 0.7)\times 10^{-3}$$ B π ≡ B ( Ω c 0 → Ω - π + ) = ( 5.1 ± 0.7 ) × 10 - 3 with the $$\Omega _c^0\rightarrow \Omega ^-$$ Ω c 0 → Ω - transition form factors calculated in the light-front quark model. We also predict $${{\mathcal {B}}}_\rho \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\rho ^+)=(14.4\pm 0.4)\times 10^{-3}$$ B ρ ≡ B ( Ω c 0 → Ω - ρ + ) = ( 14.4 ± 0.4 ) × 10 - 3 and $${{\mathcal {B}}}_e\equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-e^+\nu _e)=(5.4\pm 0.2)\times 10^{-3}$$ B e ≡ B ( Ω c 0 → Ω - e + ν e ) = ( 5.4 ± 0.2 ) × 10 - 3 . The previous values for $${{\mathcal {B}}}_\rho /{{\mathcal {B}}}_\pi $$ B ρ / B π have been found to deviate from the most recent observation. Nonetheless, our $${{\mathcal {B}}}_\rho /{{\mathcal {B}}}_\pi =2.8\pm 0.4$$ B ρ / B π = 2.8 ± 0.4 is able to alleviate the deviation. Moreover, we obtain $${{\mathcal {B}}}_e/{{\mathcal {B}}}_\pi =1.1\pm 0.2$$ B e / B π = 1.1 ± 0.2 , which is consistent with the current data.

Download Full-text

Pseudoscalar mesons with symmetric bound state vertex functions on the light front

Physical Review D ◽

10.1103/physrevd.92.034017 ◽

2015 ◽

Vol 92 (3) ◽

Cited By ~ 15

Author(s):

George H. S. Yabusaki ◽

Ishtiaq Ahmed ◽

M. Ali Paracha ◽

J. P. B. C. de Melo ◽

Bruno El-Bennich

Keyword(s):

Bound State ◽

Light Front ◽

Pseudoscalar Mesons

Download Full-text

Distribution amplitudes of heavy mesons and quarkonia on the light front

The European Physical Journal C ◽

10.1140/epjc/s10052-020-08517-3 ◽

2020 ◽

Vol 80 (10) ◽

Author(s):

Fernando E. Serna ◽

Roberto Correa da Silveira ◽

J. J. Cobos-Martínez ◽

Bruno El-Bennich ◽

Eduardo Rojas

Keyword(s):

Heavy Quark ◽

Pion Mass ◽

Heavy Meson ◽

Light Front ◽

Effective Theory ◽

Heavy Quark Effective Theory ◽

Decay Constants ◽

Quark Sector ◽

Pseudoscalar Mesons ◽

Inverse Moment

AbstractThe ladder kernel of the Bethe–Salpeter equation is amended by introducing a different flavor dependence of the dressing functions in the heavy-quark sector. Compared with earlier work this allows for the simultaneous calculation of the mass spectrum and leptonic decay constants of light pseudoscalar mesons, the $$D_u$$ D u , $$D_s$$ D s , $$B_u$$ B u , $$B_s$$ B s and $$B_c$$ B c mesons and the heavy quarkonia $$\eta _c$$ η c and $$\eta _b$$ η b within the same framework at a physical pion mass. The corresponding Bethe–Salpeter amplitudes are projected onto the light front and we reconstruct the distribution amplitudes of the mesons in the full theory. A comparison with the first inverse moment of the heavy meson distribution amplitude in heavy quark effective theory is made.

Download Full-text

Parton distribution in pseudoscalar mesons with a light-front constituent quark model

10.1063/1.4949465 ◽

2016 ◽

Cited By ~ 3

Author(s):

J. P. B. C. de Melo ◽

Isthiaq Ahmed ◽

Kazuo Tsushima

Keyword(s):

Quark Model ◽

Parton Distribution ◽

Constituent Quark ◽

Constituent Quark Model ◽

Light Front ◽

Pseudoscalar Mesons

Download Full-text

HEAVY PSEUDOSCALAR-MESON DECAY CONSTANTS WITH STRANGENESS FROM THE EXTENDED NONLOCAL CHIRAL-QUARK MODEL

Modern Physics Letters A ◽

10.1142/s0217732312501532 ◽

2012 ◽

Vol 27 (27) ◽

pp. 1250153 ◽

Cited By ~ 1

Author(s):

SEUNG-IL NAM

Keyword(s):

Heavy Quark ◽

Quark Model ◽

Weak Decay ◽

Heavy Meson ◽

Effective Field ◽

Numerical Results ◽

Meson Decay ◽

Chiral Quark Model ◽

Decay Constants ◽

Pseudoscalar Mesons

We study the weak-decay constants for the heavy pseudoscalar mesons, D, Ds, B and Bs. For this purpose, we employ the extended nonlocal chiral-quark model (ExNLChQM), motivated by the heavy-quark effective field theory as well as the instanton-vacuum configuration. In addition to the heavy-quark symmetry and the nonlocal interactions between quarks and pseudoscalar mesons in ExNLChQM, a correction for the strange-quark content inside Ds and Bs is also taken into account and found to be crucial to reproduce the empirical values. From those numerical results, we obtain fD, Ds, B, Bs = (207.53, 262.56, 208.13, 262.39) MeV , which are in good agreement with experimental data and other theoretical estimations. Using those numerical results, we estimate the CKM matrix elements and the Cabibbo angle with the various mesonic and leptonic heavy-meson decay channels, resulting in (|Vcd|, |Vcs|, |Vub|, |Vtd|/|Vts|) = (0.224, 0.968, <5.395×10-3, 0.215) and θC = 12.36° which are well compatible with available data.

Download Full-text