Some analytic properties of a decay amplitude with final state interactions

1961 ◽  
Vol 21 (6) ◽  
pp. 988-1000 ◽  
Author(s):  
G. Barton ◽  
C. Kacser
Keyword(s):  
Decay Amplitude ◽  
Final State ◽  
Final State Interactions

scholarly journals RESONANCES AND WEAK INTERACTIONS IN D+→ π+π−π+ DECAYS

2007 ◽  
Vol 16 (09) ◽  
pp. 2876-2879 ◽  
Author(s):  
DIOGO R. BOITO ◽  
BRUNO EL-BENNICH ◽  
BENOÎT LOISEAU ◽  
OLIVIER LEITNER
Keyword(s):  
Weak Interactions ◽  
Decay Amplitude ◽  
D Meson ◽  
Final State ◽  
Meson Decays ◽  
Factorization Approximation ◽  
Weak Part ◽  
Unitary Model ◽  
Final State Interactions ◽  
Three Body

We describe the ππS-wave in D+→ π+π−π+ decays using a unitary model for the ππ Final State Interactions (FSI). The three body decay is treated as a quasi two-body process where, at the weak vertex, the D meson decays into a resonance and a pion. The weak part of the decay amplitude is evaluated using the effective weak Hamiltonian within the factorization approximation.

DALITZ PLOT ANALYSES FROM FOCUS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 482-492 ◽  
Author(s):  
◽  
PAOLO DINI
Keyword(s):  
Matrix Model ◽  
Dalitz Plot ◽  
Decay Amplitude ◽  
Meson Decay ◽  
Charm Meson ◽  
Final State ◽  
Isobar Model ◽  
Plot Analysis ◽  
Final State Interactions ◽  
K Matrix

Charm meson decay-dynamics has been extensively studied in the last decade. Dalitz plot analysis has revealed as a powerful tool for investigating effects of resonant substructures, interference patterns and final-state-interactions in the charm sector. Recent results from FOCUS on D+ and Ds decays will be presented with particular emphasis on the decay amplitude formalism; Isobar model and K-matrix model results will be compared and discussed.

Some analytic properties of a decay amplitude with final state interactions

1961 ◽  
Vol 21 (4) ◽  
pp. 593-604 ◽  
Author(s):  
G. Barton ◽  
C. Kacser
Keyword(s):  
Decay Amplitude ◽  
Final State ◽  
Final State Interactions

scholarly journals RESONANT FINAL-STATE INTERACTIONS IN $D^0\rightarrow{\bar K}^0\eta,~{\bar K}^0\eta^\prime$ DECAYS

2000 ◽  
Vol 15 (26) ◽  
pp. 4163-4178
Author(s):  
EL HASSAN EL AAOUD ◽  
A. N. KAMAL
Keyword(s):  
Resonant State ◽  
Decay Amplitude ◽  
Branching Ratio ◽  
Coupling Constants ◽  
Final State ◽  
Shell Effects ◽  
State Formula ◽  
Final State Interactions ◽  
Weak Transition ◽  
Sum Formula

We have investigated the effect of the isospin ½, JP=0+ resonant state [Formula: see text] on the decays [Formula: see text] and [Formula: see text] as a function of the branching ratio sum [Formula: see text] and coupling constants [Formula: see text]. We have used a factorized input for [Formula: see text] weak transition through a πK loop. We estimated both on- and off-shell contributions from the loop. Our calculation shows that the off-shell effects are significant. For r≥30% a fit to the decay amplitude [Formula: see text] was possible, but the amplitude [Formula: see text] remained at its factorized value. For small values of r, r≤18%, we were able to fit [Formula: see text], and despite the fact that [Formula: see text] could be raised by almost 100% over its factorized value, it still falls short of its experimental value. A simultaneous fit to both amplitudes [Formula: see text] and [Formula: see text] was not possible. We have also determined the strong phase of the resonant amplitudes for both decays.

scholarly journals Decay amplitudes to three hadrons from finite-volume matrix elements

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Maxwell T. Hansen ◽  
Fernando Romero-López ◽  
Stephen R. Sharpe
Keyword(s):  
Finite Volume ◽  
Decay Amplitude ◽  
Weak Decay ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Final State ◽  
Identical Particles ◽  
Hadron Decay ◽  
Finite State ◽  
Particle Decays

Abstract We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the Lellouch-Lüscher relation for two-particle decays and provides a strategy for extracting three-hadron decay amplitudes using lattice QCD. Unlike for two particles, even in the simplest approximation, one must solve integral equations to obtain the physical decay amplitude, a consequence of the nontrivial finite-state interactions. We first derive the result in a simplified theory with three identical particles, and then present the generalizations needed to study phenomenologically relevant three-pion decays. The specific processes we discuss are the CP-violating K → 3π weak decay, the isospin-breaking η → 3π QCD transition, and the electromagnetic γ* → 3π amplitudes that enter the calculation of the hadronic vacuum polarization contribution to muonic g − 2.

Two-Proton Final-State Interactions in the ReactionsD(He3, t)2pandHe3(d, t)2pat a Center-of-Mass Energy of 21 MeV

1967 ◽  
Vol 18 (23) ◽  
pp. 1007-1009 ◽  
Author(s):  
B. J. Morton ◽  
E. E. Gross ◽  
J. J. Malanify ◽  
A. Zucker
Keyword(s):  
Center Of Mass ◽  
Mass Energy ◽  
Final State ◽  
Center Of Mass Energy ◽  
Final State Interactions

scholarly journals Role of Final State Interactions in Y0* Production

1976 ◽  
Vol 56 (1) ◽  
pp. 151-156 ◽  
Author(s):  
C. P. Singh
Keyword(s):  
Final State ◽  
Final State Interactions

Final-state interactions and quasi-free scattering in the 2H(α, pα)n reaction

1974 ◽  
Vol 222 (3) ◽  
pp. 429-444 ◽  
Author(s):  
T. Rausch ◽  
H. Zell ◽  
D. Wallenwein ◽  
W. Von Witsch
Keyword(s):  
Final State ◽  
Final State Interactions
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