We introduce the BMO-type space bmo ρ（w） and establish the duality between h^1ρ（ω） and bmo ρ（ω）,where ω∈A1^ρ∞（R^n） and ω＇s locally behave as Muckenhoupt＇s weights but actually include them. We also...We introduce the BMO-type space bmo ρ（w） and establish the duality between h^1ρ（ω） and bmo ρ（ω）,where ω∈A1^ρ∞（R^n） and ω＇s locally behave as Muckenhoupt＇s weights but actually include them. We also give the Fefferman-Stein type decomposition of bmop（ω） with respect to Riesz transforms associated to Schrodinger operator L,where L=-△＋V is a SchrSdinger operator on R^2 （n≥3） and V is a non-negative function satisfying the reverse HSlder inequality.展开更多
The study of ρ-ω mixing has mainly focused on vector meson decays with isospin I = 1, namely theρ（ω）→π＋π- process. In this paper, we present a study of ρ-ω mixing in ρ（ω）→π＋π-π0（I = 0） using a f...The study of ρ-ω mixing has mainly focused on vector meson decays with isospin I = 1, namely theρ（ω）→π＋π- process. In this paper, we present a study of ρ-ω mixing in ρ（ω）→π＋π-π0（I = 0） using a flavor parameterization model for the J/ψ→VP process. By fitting a theoretical framework to PDG data, we obtain the SU（3）-breaking effect parameters sV = 0.03±0.12, sP = 0.17±0.17 and the ρ-ω mixing polarization operatorΠρω =（0.006±0.011） GeV2. New values are found for the branching ratios when the mixing effect is incorporated：Br（J/ψ→ωπ0）=（3.64±0.37）×10-4, Br（J/ψ→ωη）=（1.48±0.17）×10-3, Br（J/ψ→ωη）=（1.55±0.56）×10-4, these are different from the corresponding PDG2012 values by 19%, 15% and 15%, respectively.展开更多
The mixed propagator (MP) approach to ρ-ω mixing is discussed. It is found that under the pole-approximation assumption the results of MP approach is not compatible both with the effective Lagrangian theory andwith ...The mixed propagator (MP) approach to ρ-ω mixing is discussed. It is found that under the pole-approximation assumption the results of MP approach is not compatible both with the effective Lagrangian theory andwith the experiment measurement criterion. To overcome these inconsistent, we propose a new MP approach in whichthe physical states of ρ and ω are determined by the requirement of experimental measurement to meson resonance. Interms of this new MP approach, the EM pion form factor Fπ and form factors of ρo →π0γ and of ω→πo γ are derived.The results of Fπ are in good agreement with data. The form factor of ρo →π0γ exhibits a hidden charge-asymmetryenhancement effect which agrees with the prediction of the effective Lagrangian theory.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11426038 and 11271024)
文摘We introduce the BMO-type space bmo ρ（w） and establish the duality between h^1ρ（ω） and bmo ρ（ω）,where ω∈A1^ρ∞（R^n） and ω＇s locally behave as Muckenhoupt＇s weights but actually include them. We also give the Fefferman-Stein type decomposition of bmop（ω） with respect to Riesz transforms associated to Schrodinger operator L,where L=-△＋V is a SchrSdinger operator on R^2 （n≥3） and V is a non-negative function satisfying the reverse HSlder inequality.
基金Supported by Ministry of Science and Technology of China(973 Project No.2009CB825200)
文摘The study of ρ-ω mixing has mainly focused on vector meson decays with isospin I = 1, namely theρ（ω）→π＋π- process. In this paper, we present a study of ρ-ω mixing in ρ（ω）→π＋π-π0（I = 0） using a flavor parameterization model for the J/ψ→VP process. By fitting a theoretical framework to PDG data, we obtain the SU（3）-breaking effect parameters sV = 0.03±0.12, sP = 0.17±0.17 and the ρ-ω mixing polarization operatorΠρω =（0.006±0.011） GeV2. New values are found for the branching ratios when the mixing effect is incorporated：Br（J/ψ→ωπ0）=（3.64±0.37）×10-4, Br（J/ψ→ωη）=（1.48±0.17）×10-3, Br（J/ψ→ωη）=（1.55±0.56）×10-4, these are different from the corresponding PDG2012 values by 19%, 15% and 15%, respectively.
文摘The mixed propagator (MP) approach to ρ-ω mixing is discussed. It is found that under the pole-approximation assumption the results of MP approach is not compatible both with the effective Lagrangian theory andwith the experiment measurement criterion. To overcome these inconsistent, we propose a new MP approach in whichthe physical states of ρ and ω are determined by the requirement of experimental measurement to meson resonance. Interms of this new MP approach, the EM pion form factor Fπ and form factors of ρo →π0γ and of ω→πo γ are derived.The results of Fπ are in good agreement with data. The form factor of ρo →π0γ exhibits a hidden charge-asymmetryenhancement effect which agrees with the prediction of the effective Lagrangian theory.
