In the framework of the QCD factorization approach,we study the localized CP violations of the B^(-)→K^(-)π^(+)(π)^(-)decay with and without the a_(0)^(0)(980)-f_(0)(980) mixing mechanism and observe that the local...In the framework of the QCD factorization approach,we study the localized CP violations of the B^(-)→K^(-)π^(+)(π)^(-)decay with and without the a_(0)^(0)(980)-f_(0)(980) mixing mechanism and observe that the localized CP violation can be enhanced by this mixing effect when the mass of the π^(+)(π)^(-)pair is in the vicinity of the f_(0)(980) resonance.The corresponding theoretical prediction results are A_(CP)(B^(-)→Kf_(0)→K^(-)π^(+)(π)^(-))=[0.126,0.338](0.232±0.106 with the central value form) and A_(CP)(B^(-)→K^(-)f_(0)(a_0)→K^(-)π^(+)(π)^(-))=[0.230,0.615](0.423±0.193 with the central value form),respectively.Meanwhile,we also calculate the branching fraction of the B^(-)→K^(-)f_(0)(980)→K^(-)π^(+)(π)^(-)decay,which is consistent with the experimental results.We suggest that the a_(0)^(0)(980)-f_(0)(980) mixing mechanism should be considered when theoretically and experimentally studying the CP violation of the B or D meson decays.展开更多
Within the quasi-two-body decay model,we study the localized CP violation and branching fraction of the four-body decay B^(0)→[K^(-)π^(+)]s/v[π^(+)π^(-)]v/s→K^(-)π^(+)π^(+)π^(-)whenthe K^(-)π^(+)andπ^(-)π^(...Within the quasi-two-body decay model,we study the localized CP violation and branching fraction of the four-body decay B^(0)→[K^(-)π^(+)]s/v[π^(+)π^(-)]v/s→K^(-)π^(+)π^(+)π^(-)whenthe K^(-)π^(+)andπ^(-)π^(+)pair invariant masses are 0.35<mK^(-)π^(+)<2.04GeV and 0<mπ^(-)π^(+)<1.06 GeV,with the pairs being dominated by the K*0(700)0,K*(892)0,K*(1410)0,K*0(1430)and K*(1680)0,and fo(500),ρ0(770),ω(782)and f0(980)resonances,respectively.When dealing with the dynamical functions of these resonances,f0(500),ρ0(770),f0(980)and K*0(1430)are modeled with the Bugg model,Gounaris-Sakurai function,Flatte formalism and LASS lineshape,respectively,while the others are described by the relativistic Breit-W igner function.Adopting the end point divergence parametersρA∈[0,0.5]andφA∈[0,2π],our predicted results are ACρ(B0→K-π^(+)π^(+)π^(-))∈[-0.365.0.447]and B(B0→K-π^(+)π^(+)π^(-))∈[6.11,185.32]×10^(-8),based on the hypothetical qq structures for the scalar mesons in the QCD factorization ap-proach.Meanwhile,we calculate the CP violating asymmetries and branching fractions of the two-body decaysB0→SV(VS)and all the individual four-body decays B0→SV(VS)→K^(-)π^(+)π^(-)π^(+),respectively.Our theoretical results for the two-body decays B0→K<(892)0 f0(980),B0→K*0(1430)0ω(782),B0→K*(892)0f0(980),B0→K*0(1430)0ρ,and B0→K*0(1430)0ωare consistent with the available experimental data,with the remaining predic-tions await testing in future high precision experiments.展开更多
In this work,we study the localized CP violation and the branching fraction of the four-body decay^ˉB 0→K^−π^+π^−π^+by employing a quasi-two-body QCD factorization approach.Considering the interference of^ˉB 0→...In this work,we study the localized CP violation and the branching fraction of the four-body decay^ˉB 0→K^−π^+π^−π^+by employing a quasi-two-body QCD factorization approach.Considering the interference of^ˉB 0→ˉK^∗0(700)ρ0(770)→K^−π^+π^−π^+and^ˉB 0→ˉK∗(892)f0(500)→K^−π^+π^−π^+channels,we predict ACP(^ˉB 0→K^−π^+π^−π^+)∈[0.15,0.28]and B(^ˉB 0→K^−π^+π^−π^+)∈[1.73,5.10]×10^−7,respectively,which shows that the interference mechanism of these two channels can induce the localized CP violation to this four-body decay.Meanwhile,within the two quark model framework for the scalar mesons f0(500)andˉK^∗0(700),we calculate the direct CP violations and branching fractions of the^ˉB 0→ˉK^∗0(700)ρ0(770)and^ˉB 0→ˉK∗(892)f0(500)decays,respectively.The corresponding results are ACP(^ˉB 0→ˉK^∗0(700)ρ0(770))∈[0.20,0.36],ACP(^ˉB 0→ˉK∗(892)f0(500))∈[0.08,0.12],B(^ˉB 0→ˉK^∗0(700)ρ0(770)∈[6.76,18.93]×10^−8 and B(^ˉB 0→ˉK∗(892)f0(500))∈[2.66,4.80]×10^−6,indicating that the CP violations of these two-body decays are both positive and the branching fractions quite different.These studies provide a new way to investigate the aforementioned four-body decay and can be helpful in clarifying the configuration of the structure of the light scalar meson.展开更多
Up to now, the excited charmed and bottom baryon states have still not been well studied experimentally or theoretically. In this paper, we predict the mass of Ωb, the only L=0 baryon state which has not been observe...Up to now, the excited charmed and bottom baryon states have still not been well studied experimentally or theoretically. In this paper, we predict the mass of Ωb, the only L=0 baryon state which has not been observed, to be 6069.2 MeV. The spectra of charmed and bottom baryons with the orbital angular momentum L= 1 are studied in two popular constituent quark models, the Goldstone boson exchange （GBE） model and the one gluon exchange （OGE） hyperfine interaction model. Inserting the latest experimental data from the ＂Review of Particle Physics＂, we find that in the GBE model, there exist some multiplets （∑c（b）, ≡c（b） and Ωc（b）） in which the total spin of the three quarks in their lowest energy states is 3/2, but in the OGE model there is no such phenomenon. This is the most important difference between the GBE and OGE models. These results can be tested in the near future. We suggest more efforts to study the excited charmed and bottom baryons both theoretically and experimentally, not only for the abundance of baryon spectra, but also for determining which hyperfine interaction model best describes nature.展开更多
基金Supported by National Natural Science Foundation of China (12105149,11775024 and 11947001)Natural Science Foundation of Zhejiang Province(LQ21A050005)+1 种基金Ningbo Natural Science Foundation (2021J180)the Fundamental Research Funds for the Provincial Universities of Zhejiang Province。
文摘In the framework of the QCD factorization approach,we study the localized CP violations of the B^(-)→K^(-)π^(+)(π)^(-)decay with and without the a_(0)^(0)(980)-f_(0)(980) mixing mechanism and observe that the localized CP violation can be enhanced by this mixing effect when the mass of the π^(+)(π)^(-)pair is in the vicinity of the f_(0)(980) resonance.The corresponding theoretical prediction results are A_(CP)(B^(-)→Kf_(0)→K^(-)π^(+)(π)^(-))=[0.126,0.338](0.232±0.106 with the central value form) and A_(CP)(B^(-)→K^(-)f_(0)(a_0)→K^(-)π^(+)(π)^(-))=[0.230,0.615](0.423±0.193 with the central value form),respectively.Meanwhile,we also calculate the branching fraction of the B^(-)→K^(-)f_(0)(980)→K^(-)π^(+)(π)^(-)decay,which is consistent with the experimental results.We suggest that the a_(0)^(0)(980)-f_(0)(980) mixing mechanism should be considered when theoretically and experimentally studying the CP violation of the B or D meson decays.
基金Supported by National Natural Science Foundation of China (11575023, 11775024, 11947001, 11605150, 11805153)Natural Science Foundation of Zhejiang pvovince (LQ21A050005)Achievements of the Basic Scientific Research Businessof Universities in Zhejiang Province and Natural Science Foundation of Ningbo (2019A610067)
文摘Within the quasi-two-body decay model,we study the localized CP violation and branching fraction of the four-body decay B^(0)→[K^(-)π^(+)]s/v[π^(+)π^(-)]v/s→K^(-)π^(+)π^(+)π^(-)whenthe K^(-)π^(+)andπ^(-)π^(+)pair invariant masses are 0.35<mK^(-)π^(+)<2.04GeV and 0<mπ^(-)π^(+)<1.06 GeV,with the pairs being dominated by the K*0(700)0,K*(892)0,K*(1410)0,K*0(1430)and K*(1680)0,and fo(500),ρ0(770),ω(782)and f0(980)resonances,respectively.When dealing with the dynamical functions of these resonances,f0(500),ρ0(770),f0(980)and K*0(1430)are modeled with the Bugg model,Gounaris-Sakurai function,Flatte formalism and LASS lineshape,respectively,while the others are described by the relativistic Breit-W igner function.Adopting the end point divergence parametersρA∈[0,0.5]andφA∈[0,2π],our predicted results are ACρ(B0→K-π^(+)π^(+)π^(-))∈[-0.365.0.447]and B(B0→K-π^(+)π^(+)π^(-))∈[6.11,185.32]×10^(-8),based on the hypothetical qq structures for the scalar mesons in the QCD factorization ap-proach.Meanwhile,we calculate the CP violating asymmetries and branching fractions of the two-body decaysB0→SV(VS)and all the individual four-body decays B0→SV(VS)→K^(-)π^(+)π^(-)π^(+),respectively.Our theoretical results for the two-body decays B0→K<(892)0 f0(980),B0→K*0(1430)0ω(782),B0→K*(892)0f0(980),B0→K*0(1430)0ρ,and B0→K*0(1430)0ωare consistent with the available experimental data,with the remaining predic-tions await testing in future high precision experiments.
基金Supported by National Natural Science Foundation of China(11575023,11775024,11947001,11605150)the Fundamental Research Funds for the Provincial Universities of Zhejiang Province and Ningbo Natural Science Foundation(2019A610067)。
文摘In this work,we study the localized CP violation and the branching fraction of the four-body decay^ˉB 0→K^−π^+π^−π^+by employing a quasi-two-body QCD factorization approach.Considering the interference of^ˉB 0→ˉK^∗0(700)ρ0(770)→K^−π^+π^−π^+and^ˉB 0→ˉK∗(892)f0(500)→K^−π^+π^−π^+channels,we predict ACP(^ˉB 0→K^−π^+π^−π^+)∈[0.15,0.28]and B(^ˉB 0→K^−π^+π^−π^+)∈[1.73,5.10]×10^−7,respectively,which shows that the interference mechanism of these two channels can induce the localized CP violation to this four-body decay.Meanwhile,within the two quark model framework for the scalar mesons f0(500)andˉK^∗0(700),we calculate the direct CP violations and branching fractions of the^ˉB 0→ˉK^∗0(700)ρ0(770)and^ˉB 0→ˉK∗(892)f0(500)decays,respectively.The corresponding results are ACP(^ˉB 0→ˉK^∗0(700)ρ0(770))∈[0.20,0.36],ACP(^ˉB 0→ˉK∗(892)f0(500))∈[0.08,0.12],B(^ˉB 0→ˉK^∗0(700)ρ0(770)∈[6.76,18.93]×10^−8 and B(^ˉB 0→ˉK∗(892)f0(500))∈[2.66,4.80]×10^−6,indicating that the CP violations of these two-body decays are both positive and the branching fractions quite different.These studies provide a new way to investigate the aforementioned four-body decay and can be helpful in clarifying the configuration of the structure of the light scalar meson.
基金Supported by National Natural Science Foundation of China(11175020,11575023,U1204115)
文摘Up to now, the excited charmed and bottom baryon states have still not been well studied experimentally or theoretically. In this paper, we predict the mass of Ωb, the only L=0 baryon state which has not been observed, to be 6069.2 MeV. The spectra of charmed and bottom baryons with the orbital angular momentum L= 1 are studied in two popular constituent quark models, the Goldstone boson exchange （GBE） model and the one gluon exchange （OGE） hyperfine interaction model. Inserting the latest experimental data from the ＂Review of Particle Physics＂, we find that in the GBE model, there exist some multiplets （∑c（b）, ≡c（b） and Ωc（b）） in which the total spin of the three quarks in their lowest energy states is 3/2, but in the OGE model there is no such phenomenon. This is the most important difference between the GBE and OGE models. These results can be tested in the near future. We suggest more efforts to study the excited charmed and bottom baryons both theoretically and experimentally, not only for the abundance of baryon spectra, but also for determining which hyperfine interaction model best describes nature.
