THE PROBLEM OF BOSONIZATION OF LOCAL FOUR-QUARK OPERATORS

1993 ◽  
Vol 08 (20) ◽  
pp. 3425-3455 ◽  
Author(s):  
A. N. IVANOV ◽  
N. I. TROITSKAYA ◽  
M. NAGY
Keyword(s):  
Sum Rules ◽  
Final State Interaction ◽  
Quark Condensate ◽  
S Wave ◽  
Chiral Perturbation ◽  
Nonlinear Realization ◽  
Final State ◽  
Penguin Operator ◽  
Hadronic Level ◽  
Quark Structure

The problem of bosonization of standard local four-quark operators, by involving the penguin operator, with ΔI = 1/2 and ΔS = 1 selection rules, is studied. We show that the well-known Cronin's operator determined within the effective chiral Lagrangian approach with nonlinear realization of chiral SU (3) × SU (3) symmetry (so-called chiral perturbation theory at the hadronic level) can realize the hadronic level description of local four-quark operators with (V − A) × (V − A) quark structure only. Also, it is shown that any attempts to apply Cronin's operator for bosonization of the penguin operator, possessing (V − A) × (V + A) quark structure, are doomed to failure. The latter is explained by the inability of Cronin's operator to describe correctly the s-wave final-state interaction, which is very important for transitions governed by the penguin operator. The asymmetry of quark condensate is calculated. The sign of this asymmetry is opposite to that one assumed in the framework of QCD sum rules.

CHIRAL PERTURBATION THEORY AT THE QUARK LEVEL

1992 ◽  
Vol 07 (29) ◽  
pp. 7305-7338 ◽  
Author(s):  
A.N. IVANOV ◽  
M. NAGY ◽  
N.I. TROITSKAYA
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Final State Interaction ◽  
Low Energy ◽  
Chiral Perturbation ◽  
Final State ◽  
Large N ◽  
Quark Level ◽  
Energy Approximation

The chiral perturbation theory is developed at the quark level within the extended Nambu-Jona-Lasinio model, which we used for the low-energy approximation of QCD in the leading order of the large N expansion. In terms of constituent-quark loop diagrams we analyze all of the main low-energy effects caused by the first order corrections in the current-quark-mass expansions. For the correct description of the η→3π decays we confirm the important role of the final-state interaction quoted by Gasser and Leutwyler.

IS THE CRONIN’S REPRESENTATION CORRECT FOR THE PENGUIN OPERATOR?

1992 ◽  
Vol 07 (05) ◽  
pp. 427-435 ◽  
Author(s):  
A.N. IVANOV ◽  
M. NAGY ◽  
N.I. TROITSKAYA
Keyword(s):  
Wave Functions ◽  
Low Energy ◽  
Energy Limit ◽  
Chiral Perturbation ◽  
K Meson ◽  
Chiral Transformation ◽  
Quark Level ◽  
Penguin Operator ◽  
Hadronic Level

It is shown that the Cronin’s operator, being used for a phenomenological description of non-loptonic K-meson decays within the effective chiral Lagrangian approach with non-linear realization of chiral SU (3)× SU (3) symmetry (so-called, chiral perturbation theory at the hadronic level), cannot be applied to the determination of the Penguin-operator (O5-operator) at the hadronic level. The affirmation is based on the proof of the violation of the low-energy theorem [Formula: see text] which is valid within the framework of the Cronin’s representation. The violation of this low-energy theorem is obtained at the quark level and connected with the account of the low-energy interactions of pions caused by the overlap of wave functions of pions in the |π+π−> state in the low-energy limit p+→0. The chiral transformation properties of the normal-ordered Penguin operator are studied.

A meson-exchange isobar model for the π+d↔pp reaction

1996 ◽  
Vol 74 (5-6) ◽  
pp. 209-225 ◽  
Author(s):  
L. Canton ◽  
G. Cattapan ◽  
P. J. Dortmans ◽  
G. Pisent ◽  
J. P. Svenne
Keyword(s):  
Final State Interaction ◽  
Light Nuclei ◽  
Meson Exchange ◽  
Nucleon Interaction ◽  
S Wave ◽  
Final State ◽  
Isobar Model ◽  
Spin Observables ◽  
Pion Absorption ◽  
Pion Nucleon

We calculated a broad set of observables for the π+d ↔ pp reaction with a relatively simple meson-exchange isobar model. The comparison between the calculated results and experimental data (including spin observables) shows that the model gives an overall phenomenologically acceptable description of the reaction around the Δ resonance. We also take into account the effects due to the inclusion of the Galilei invariant (pseudovector) recoil term in the πNN vertex, of relativistic corrections to the ρ-exchange component of the ΔN transition potential, and of NN final state interaction in the π+d → p + p process. Rescatterings via pion-nucleon interaction in the S–wave have also been included. The model is sufficiently simple to be extended to the case of pion absorption on other light nuclei, in particular 3He (or tritium).

HEAVY QUARKONIUM π+π- TRANSITIONS AND A POSSIBLE $b\bar{b}q\bar{q}$ STATE

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1893-1896
Author(s):  
F.-K. GUO ◽  
P.-N. SHEN ◽  
H.-C. CHIANG ◽  
R.-G. PING
Keyword(s):  
Experimental Data ◽  
Intermediate State ◽  
Final State Interaction ◽  
Decay Process ◽  
Heavy Quarkonium ◽  
S Wave ◽  
Final State ◽  
Unitary Theory ◽  
Effective Lagrangian ◽  
Quark Content

π+π- transitions of heavy quarkonia, especially the ϒ(3S)→ϒ(1S)π+π- decay process are studied. An effective Lagrangian is employed and the S wave ππ final state interaction (FSI) is included in the framework of the Chiral Unitary Theory (ChUT). It is found that when an additional intermediate state with JP=1+ and I=1 is introduced, the experimental data can be well-explained, and a consistent description of bottomonium π+π- transitions can be obtained. As a consequence, the mass and the width of the intermediate state are predicted. From the quark content analysis, this state should be a [Formula: see text] state.

scholarly journals Chiral dynamics and S-wave contributions in $${\bar{B}}^0/D^0 \rightarrow \pi ^{\pm }\eta \ l^{\mp } \nu $$ decays

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Yu-Ji Shi ◽  
Ulf-G. Meißner
Keyword(s):  
Light Cone ◽  
Final State Interaction ◽  
Branching Fraction ◽  
Finite Width ◽  
S Wave ◽  
Scalar Form Factor ◽  
Final State ◽  
Scalar Form ◽  
Leptonic Decays ◽  
Three Body

AbstractIn this work, we analyze the semi-leptonic decays $$\bar{B}^0/D^0 \rightarrow (a_0(980)^{\pm }\rightarrow \pi ^{\pm }\eta ) l^{\mp } \nu $$ B ¯ 0 / D 0 → ( a 0 ( 980 ) ± → π ± η ) l ∓ ν within light-cone sum rules. The two and three-body light-cone distribution amplitudes (LCDAs) of the B meson and the only available two-body LCDA of the D meson are used. To include the finite-width effect of the $$a_0(980)$$ a 0 ( 980 ) , we use a scalar form factor to describe the final-state interaction between the $$\pi \eta $$ π η mesons, which was previously calculated within unitarized Chiral Perturbation Theory. The result for the decay branching fraction of the $$D^0$$ D 0 decay is in good agreement with that measured by the BESIII Collaboration, while the branching fraction of the $${\bar{B}}^0$$ B ¯ 0 decay can be tested in future experiments.

Quantum theory of post-collision interaction in inner-shell photoionization: Final-state interaction between two continuum electrons

1987 ◽  
Vol 36 (12) ◽  
pp. 5606-5614 ◽  
Author(s):  
G. Bradley Armen ◽  
Jukka Tulkki ◽  
Teijo Aberg ◽  
Bernd Crasemann
Keyword(s):  
Quantum Theory ◽  
Final State Interaction ◽  
State Interaction ◽  
Final State

Proton-proton final state interaction in the p + 3He reaction

1969 ◽  
Vol 136 (2) ◽  
pp. 337-352 ◽  
Author(s):  
C.C. Chang ◽  
E. Bar-Avraham ◽  
H.H. Forster ◽  
C.C. Kim ◽  
P. TomaŠ ◽  
...  
Keyword(s):  
Final State Interaction ◽  
State Interaction ◽  
Final State ◽  
Proton Proton

scholarly journals PION QUARK STRUCTURE IN QCD

2007 ◽  
Vol 22 (02n03) ◽  
pp. 654-658 ◽  
Author(s):  
A. P. BAKULEV ◽  
A. V. PIMIKOV
Keyword(s):  
High Precision ◽  
Present Status ◽  
Sum Rules ◽  
Distribution Amplitude ◽  
Qcd Sum Rules ◽  
Second Moment ◽  
Lattice Calculations ◽  
Quark Structure ◽  
Qcd Analysis

We describe the present status of the pion distribution amplitude as it originated from two sources: (i) a nonperturbative approach, based on QCD sum rules with nonlocal condensates and (ii) a NLO QCD analysis of the CLEO data on Fγγ*π(Q2), supplemented by the recent high-precision lattice calculations of the second moment of the pion distribution amplitude.

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