Cancellation of the divergence of the wave function at the origin in leptonic decay rates

1987 ◽  
Vol 36 (3) ◽  
pp. 863-877 ◽  
Author(s):  
Jerome Malenfant
Keyword(s):  
Wave Function ◽  
Leptonic Decay ◽  
Decay Rates

scholarly journals POSITRONIUM DECAY: GAUGE INVARIANCE AND ANALYTICITY

2002 ◽  
Vol 17 (10) ◽  
pp. 1355-1398 ◽  
Author(s):  
J. PESTIEAU ◽  
C. SMITH ◽  
S. TRINE
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Binding Energy ◽  
Gauge Invariance ◽  
Dispersion Relations ◽  
Decay Rates ◽  
Effective Form ◽  
Theoretical Predictions ◽  
Positronium Decay ◽  
Analysis Of Binding Energy

The construction of positronium decay amplitudes is handled through the use of dispersion relations. In this way, emphasis is put on basic QED principles: gauge invariance and soft-photon limits (analyticity).A firm grounding is given to the factorization approaches, and some ambiguities in the spin and energy structures of the positronium wave function are removed. Nonfactorizable amplitudes are naturally introduced. Their dynamics are described, especially regarding the enforcement of gauge invariance and analyticity through delicate interferences. The important question of the completeness of the present theoretical predictions for the decay rates is then addressed. Indeed, some of those nonfactorizable contributions are unaccounted for by NRQED analyses. However, it is shown that such new contributions are highly suppressed, being of [Formula: see text].Finally, a particular effective form factor formalism is constructed for parapositronium, allowing a thorough analysis of binding energy effects and analyticity implementation.

scholarly journals Electromagnetic corrections to the leptonic decay rates of charged pseudoscalar mesons: lattice results

2016 ◽  
Author(s):  
Silvano Simula ◽  
Vittorio Lubicz ◽  
Guido Martinelli ◽  
Christopher Sachrajda ◽  
Francesco Sanfilippo ◽  
...  
Keyword(s):  
Leptonic Decay ◽  
Decay Rates ◽  
Pseudoscalar Mesons

scholarly journals Light-meson leptonic decay rates in lattice QCD+QED

2019 ◽  
Vol 100 (3) ◽  
Author(s):  
M. Di Carlo ◽  
G. Martinelli ◽  
D. Giusti ◽  
V. Lubicz ◽  
C. T. Sachrajda ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Leptonic Decay ◽  
Decay Rates ◽  
Light Meson

scholarly journals J/ψ DECAY IN THE C3P0 MODEL

2012 ◽  
Vol 18 ◽  
pp. 200-203
Author(s):  
J. N. DE QUADROS ◽  
D. HADJIMICHEF
Keyword(s):  
Wave Function ◽  
Bound State ◽  
Pair Creation ◽  
Decay Rates ◽  
Composite Particles ◽  
Model C

The Fock-Tani representation, is a field theoretic formalism to treat problems involving both composite particles and their constituents. The application of the Fock-Tani transformation to a pair creation Hamiltonian produces the characteristic expansion in powers of the wave function. In lowest order of this expansion, we obtain the model known in the literature: the 3P0 model. In higher orders, the Corrected 3P0 model (C3P0) is obtained by introducing the bound state kernel. In this work, we use the C3P0 model to calculate the J/ψ decay rates in the following channels: ρ π, ω η, ω η′, K*+ K-, [Formula: see text], ϕ η, ϕ η′. We consider that the J/ψ is a mixture given by [Formula: see text].

Estimating Beta Decay Rates Better for Exotic Nuclei

2021 ◽  
Vol 1 ◽  
Keyword(s):  
Wave Function ◽  
Decay Rate ◽  
Beta Decay ◽  
Coulomb Potential ◽  
Order Approximation ◽  
Decay Rates ◽  
Electron Wave Function ◽  
Heavy Nuclei ◽  
Leading Order ◽  
Electron Wave

Physicists from Japan demonstrate an improved estimation of the beta decay rate in heavy nuclei by considering next-to-leading-order approximation for the electron wave function distorted by the Coulomb potential.

Strangeness-Changing Leptonic Decay Rates for theΣ±Hyperons

1971 ◽  
Vol 4 (3) ◽  
pp. 631-635 ◽  
Author(s):  
J. Cole ◽  
J. Lee-Franzini ◽  
R. J. Loveless ◽  
C. Baltay ◽  
P. Franzini ◽  
...  
Keyword(s):  
Leptonic Decay ◽  
Decay Rates

scholarly journals Spectra and decay rates ofbb̄meson using Gaussian wave function

2015 ◽  
Vol 95 ◽  
pp. 04054
Author(s):  
Ajay Kumar Rai ◽  
Nayneshkumar Devlani ◽  
Virendrasinh H. Kher
Keyword(s):  
Wave Function ◽  
Decay Rates ◽  
Gaussian Wave Function

Decay rates and masses for some heavy baryons in the hyper-central quark model

2020 ◽  
Vol 35 (10) ◽  
pp. 2050056
Author(s):  
M. Abu-Shady ◽  
M. M. A. Ahmed ◽  
N. H. Gerish
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Decay Width ◽  
Iteration Method ◽  
Decay Rates ◽  
Cornell Potential ◽  
Heavy Baryons ◽  
Radial Schrödinger Equation ◽  
Rate Of Decay ◽  
Good Agreement

Masses and decay width for some heavy baryons are studied within Isgur–Wise formalism. The extended Cornell potential is employed. The hyper-radial Schrödinger equation with extended Cornell potential is solved to obtain eigenvalues of energy and baryonic wave function by using the extended iteration method. Masses and the rate of decay width for some heavy baryons are calculated. The present results are improved in comparison with other recent works and are in a good agreement with experimental data.

scholarly journals LEPTONIC DECAY OF HEAVY–LIGHT MESONS IN A QCD POTENTIAL MODEL

2013 ◽  
Vol 28 (02) ◽  
pp. 1350010 ◽  
Author(s):  
KRISHNA KINGKAR PATHAK ◽  
D. K. CHOUDHURY ◽  
N. S. BORDOLOI
Keyword(s):  
Wave Function ◽  
B Mesons ◽  
Potential Model ◽  
Branching Ratio ◽  
Leptonic Decay ◽  
Decay Constants ◽  
Decay Widths ◽  
Mesonic Wave Function ◽  
Experimental Values ◽  
The Masses

We study the masses and decay constants of heavy–light flavor mesons D, Ds, B and Bs in a QCD potential model. The mesonic wave function is used to compute the masses of D and B mesons in the ground state and the wave function is transformed to momentum space to estimate the pseudoscalar decay constants of these mesons. The leptonic decay widths and branching ratio of these mesons for different leptonic channels are also computed to compare with the experimental values. The results are found to be compatible with available data.

scholarly journals Mixed QCD-EW corrections for Higgs leptonic decay via HW+W− vertex

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Chichuan Ma ◽  
Yuxuan Wang ◽  
Xiaofeng Xu ◽  
Li Lin Yang ◽  
Bin Zhou
Keyword(s):  
Differential Equations ◽  
Production Process ◽  
Canonical Basis ◽  
Intersection Theory ◽  
Leptonic Decay ◽  
Decay Rates ◽  
Decay Process ◽  
Higgs Production ◽  
Multiple Polylogarithms ◽  
Analytic Expressions

Abstract We consider the two-loop corrections to the HW+W− vertex at order ααs. We construct a canonical basis for the two-loop integrals using the Baikov representation and the intersection theory. By solving the ϵ-form differential equations, we obtain fully analytic expressions for the master integrals in terms of multiple polylogarithms, which allow fast and accurate numeric evaluation for arbitrary configurations of external momenta. We apply our analytic results to the decay process H → νeeW, and study both the integrated and differential decay rates. Our results can also be applied to the Higgs production process via W boson fusion.

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