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arXiv 2017年

作者： Yan, Da-Cheng Yang, Ping Liu, Xin Xiao, Zhen-Jun Department of Physics Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu210023 China School of Physics and Electronic Engineering Jiangsu Normal University Xuzhou221116 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu210023 China

In this paper, we will make systematic calculations for the branching ratios and the CP-violating asymmetries of the twenty one B¯s0 → P V decays by employing the perturbative QCD (PQCD) factorization approach. Besides the full leading-order (LO) contributions, all currently known next-to-leading order (NLO) contributions are taken into account. We found numerically that: (a) the NLO contributions can provide ∼ 40% enhancement to the LO PQCD predictions for B(B¯s0 → K0K¯ ∗0) and B(B¯s0 → K±K∗), or a ∼ 37% reduction to B(B¯s0 → π−K∗+);and we confirmed that the inclusion of the known NLO contributions can improve significantly the agreement between the theory and those currently available experimental measurements;(b) the total effects on the PQCD predictions for the relevant B → P transition form factors after the inclusion of the NLO twist-2 and twist-3 contributions is generally small in magnitude: less than 10% enhancement respect to the leading order result;(c) for the "tree" dominated decay B¯s0 → K+ρ− and the "color-suppressed-tree" decay B¯s0 → π0K∗0, the big difference between the PQCD predictions for their branching ratios are induced by different topological structure and by interference effects among the decay amplitude AT,C and AP: constructive for the first decay but destructive for the second one;and (d) for B¯s0 → V (η, η′) decays, the complex pattern of the PQCD predictions for their branching ratios can be understood by rather different topological structures and the interference effects between the decay amplitude A(V ηq) and A(V ηs) due to the η − η′ mixing. Copyright © 2017, The Authors. All rights reserved.

关键词： Forecasting

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Quasi-two-body decays B(s)→Pρ→Pππ in the perturbative QCD approach

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Physical Review D 2017年第5期95卷 056008-056008页

作者： Ya Li Ai-Jun Ma Wen-Fei Wang Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Institute of Theoretical Physics Shanxi University Taiyuan Shanxi 030006 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China

In this work, we calculate the CP-averaged branching ratios and the direct CP-violating asymmetries of the quasi-two-body decays B(s)→P(ρ→)ππ by employing the perturbative QCD (PQCD) approach (here P stands for a light pseudoscalar meson π, K, η or η′). The vector current timelike form factor Fπ, which contains the final-state interactions between the pion pair in the resonant region associated with the P-wave states ρ(770) along with the two-pion distribution amplitudes, is employed to describe the interactions between the ρ and the pion pair under the hypothesis of the conserved vector current. We found that (a) the PQCD predictions for the branching ratios and the direct CP-violating asymmetries for most considered B(s)→P(ρ→)ππ decays agree with currently available data within errors, (b) for B(B→π0ρ0→π0(π+π−), the PQCD prediction is much smaller than the measured one, and (c) for the B+→π+(ρ0→)π+π− decay mode, there is a negative CP asymmetry (−27.5−3.7+3.0)%, which agrees with other theoretical predictions but is different in sign from those reported by the BABAR and LHCb Collaborations.

关键词： Branching fraction Hadronic decays

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S-wave resonance contributions to the B(0s) → ηc(2S)π+π− in the perturbative QCD factorization approach

arXiv

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arXiv 2017年

作者： Ma, Ai-Jun Li, Ya Wang, Wen-Fei Xiao, Zhen-Jun Department of Physics Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu210023 China Institute of Theoretical Physics Shanxi University Taiyuan Shanxi030006 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu210023 China

By employing the perturbative QCD (PQCD) factorization approach, we study the quasi-two-body B(0s) → ηc(2S)π+π− decays, where the pion pair comes from the S-wave resonance f0(X). The Breit−Wigner formula for the f0(500) and f0(1500) resonances, and the Flatté model for the f0(980) resonance are adopted to parameterize the time-like scalar form factors in the two-pion distribution amplitudes. As a comparison, Bugg's model is also used for the wide f0(500) in this work. For decay rates, we found the following PQCD predictions: (a) B(Bs0 → ηc(2S)f0(X)[π+π−]s) = (2.67+1−1..7808 ) × 10−5 when the contributions from f0(980) and f0(1500) are all taken into account;(b) B(B0 → ηc(2S)f0(500)[π+π−]s) = (1.40+0−0..9256 ) × 10−6 in the Breit-Wigner model and (1.53+0−0..9761) × 10−6 in the Bugg's model. Copyright © 2017, The Authors. All rights reserved.

关键词： Hadrons

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Quasi-two-body decays B(s) → D(ρ(1450), ρ(1700)) → Dππ in the perturbative QCD factorization approach

arXiv

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arXiv 2017年

By employing a framework for the quasi-two-body decays in the perturbative QCD (PQCD) factorization approach, we calculate the branching ratios of the decays B(s) → D(ρ(1450), ρ(1700)) → Dππ with D = (D(s), D¯(s)). The pion vector form factor Fπ, acquired from a BABAR Collaboration analysis of e+e− → π+π−(γ) data, is involved in the two-pion distribution amplitudes ΦIππ=1. The PQCD predictions for the branching ratios of the considered quasi-two-body decays are in the range of 10−10 ∼ 10−4. The PQCD predictions for B(B0 → D¯ 0(ρ0(1450), ρ0(1700)) → D¯ 0π+π−) agree well with the measured values as reported by LHCb if one takes still large theoretical errors into account. Unlike the traditional way of the PQCD approach, one can extract the decay rates for the two-body decays B(s) → D(ρ(1450), ρ(1700)) from the results of the corresponding quasi-two-body decays. The PQCD predictions for B(B(s) → Dρ(1450)) and B(B(s) → Dρ(770)) are similar in magnitude: an interesting relation to be tested by future experimental measurements. Copyright © 2017, The Authors. All rights reserved.

关键词： Hadrons

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Quasi-two-body decays B → ηc(1S, 2S) [ρ(770), ρ(1450), ρ(1700) →] ππ in the perturbative QCD approach

arXiv

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arXiv 2017年

作者： Li, Ya Ma, Ai-Jun Rui, Zhou Xiao, Zhen-Jun Department of Physics Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu210023 China College of Sciences North China University of Science and Technology Tangshan063009 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu210023 China

In this paper, we calculated the branching ratios of the quasi-two-body decays B → ηc(1S, 2S) [ρ(770), ρ(1450), ρ(1700) →]ππ by employing the perturbative QCD (PQCD) approach. The contributions from the P -wave resonances ρ(770), ρ(1450) and ρ(1700) were taken into account. The two-pion distribution amplitude ΦPππ is parameterized by the vector current time-like form factor Fπ to study the considered decay modes. We found that (a) the PQCD predictions for the branching ratios of the considered quasi-two-body decays are in the order of 10−7 ∼ 10−6, while the two-body decay rates B(B → ηc(1S, 2S)(ρ(1450), ρ(1700))) are extracted from those for the corresponding quasi-two-body decays;(b) the whole pattern of the pion form factor-squared |Fπ|2 measured by the BABAR Collaboration could be understood based on our theoretical results;(c) the general expectation based on the similarity between B → ηcππ and B → J/ψππ decays are confirmed: R2(ηc) ≈ 0.45 is consistent with the measured R2(J/ψ) ≈ 0.56 ± 0.09 within errors;and (d) new ratios R3(ηc(1S)) and R4(ηc(2S)) among the branching ratios of the considered decay modes are defined and could be tested by future experiments. Copyright © 2017, The Authors. All rights reserved.

关键词： Hadrons

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On semilinear Tricomi equations with critical exponents or in two space dimensions

arXiv

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arXiv 2017年

作者： He, Daoyin Witt, Ingo Yin, Huicheng Department of Mathematics and IMS Nanjing University Nanjing210093 China Mathematical Institute University of Göttingen Bunsenstr. 3-5 GöttingenD-37073 Germany School of Mathematical Sciences Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

This paper is a complement of our recent works on the semilinear Tricomi equations in [8] and [9]. For the semilinear Tricomi equation ∂t2u−t∆u = |u|p with initial data (u(0, ·), ∂tu(0, ·)) = (u0, u1), where t ≥ 0, x ∈ Rn (n ≥ 3), p > 1, and ui ∈ C0∞(Rn) (i = 0, 1), we have shown in [8] and [9] that there exists a critical exponent pcrit(n) > 1 such that the solution u, in general, blows up in finite time when 1 crit(n), and there is a global small solution for p > pcrit(n). In the present paper, firstly, we prove that the solution of ∂t2u − t∆u = |u|p will generally blow up for the critical exponent p = pcrit(n) and n ≥ 2, secondly, we establish the global existence of small data solution to ∂t2u − t∆u = |u|p for p > pcrit(n) and n = 2. Thus, we have given a systematic study on the blowup or global existence of small data solution u to the equation ∂t2u − t∆u = |u|p for n ≥ 2.35L70, 35L65, 35L67 Copyright © 2017, The Authors. All rights reserved.

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The Schrödinger equation for general non-hermitian quantum system

arXiv

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arXiv 2017年

作者： Xiong, Ye Tong, Peiqing Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing210023 China National Laboratory of Solid State Microstructures Nanjing University Nanjing210093 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

We derive a new time-dependent Schrödinger equation(TDSE) for quantum models with nonhermitian Hamiltonian. Within our theory, the TDSE is symmetric in the two Hilbert spaces spanned by the left and the right eigenstates, respectively. The physical quantities are also identical in these two spaces. Based on this TDSE, we show that exchanging two quasi-particles in a non-hermitian model can generate arbitrary geometric phase. The system can also violate the Lieb-Robinson bound in non-relativistic quantum mechanics so that an action in one place will immediately cause a change in the distance. We show that the above two surprising behaviors can also appear in anyonic model, which makes us propose that the non-hermitian single particle model may possess many common features with anyonic model. Copyright © 2017, The Authors. All rights reserved.

关键词： Quantum optics

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Quasi-two-body decays B(s)→D(ρ(1450), ρ(1700))→Dππ in the perturbative QCD factorization approach

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Physical Review D 2017年第9期96卷 093011-093011页

作者： Ai-Jun Ma Ya Li Wen-Fei Wang Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Institute of Theoretical Physics Shanxi University Taiyuan Shanxi 030006 People’s Republic of China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China

By employing a framework for the quasi-two-body decays in the perturbative QCD (PQCD) factorization approach, we calculate the branching ratios of the decays B(s)→D(ρ(1450), ρ(1700))→Dππ with D=(D(s),D¯(s)). The pion vector form factor Fπ, acquired from a BABAR Collaboration analysis of e+e−→π+π−(γ) data, is involved in the two-pion distribution amplitudes ΦππI=1. The PQCD predictions for the branching ratios of the considered quasi-two-body decays are in the range of 10−10–10−4. The PQCD predictions for B(B0→D¯0(ρ0(1450),ρ0(1700))→D¯0π+π−) agree well with the measured values as reported by LHCb if one takes still large theoretical errors into account. Unlike the traditional way of the PQCD approach, one can extract the decay rates for the two-body decays B(s)→D(ρ(1450),ρ(1700)) from the results of the corresponding quasi-two-body decays. The PQCD predictions for B(B(s)→Dρ(1450)) and B(B(s)→Dρ(770)) are similar in magnitude: an interesting relation to be tested by future experimental measurements.

关键词： Electroweak interaction Form factors Particle decays Particle phenomena

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On the Fifth-Order Stokes Solution for Steady Water Waves

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China Ocean Engineering 2016年第5期30卷 794-810页

作者： ZHAO Hong-jun SONG Zhi-yao LI Ling KONG Jun WANG Le-qiang YANG Jie Key Laboratory of Coastal Disasters and Defence Ministry of Education College of Harbor Coastal and Offshore Engineering Hohai University Nanjing 210098 China Key Laboratory of Virtual Geographic Environment Ministry of Education Jiangsu Key Laboratory for Numerical Simulation of Large-Scale Complex System Nanjing Normal University Nanjing 210023 China School of Engineering The University of Queensland Brisbane St Lucia QLD 4072 Australia Xiamen Branch of CCCC Third Harbor Consultants Co. Ltd. Xiamen 361005 China

This paper presents a universal fifth-order Stokes solution for steady water waves on the basis of potential theory. It uses a global perturbation parameter, considers a depth uniform current, and thus admits the flexibilities on the definition of the perturbation parameter and on the determination of the wave celerity. The universal solution can be extended to that of Chappelear （1961）, confirming the correctness for the universal theory. Furthermore, a particular fifth-order solution is obtained where the wave steepness is used as the perturbation parameter. The applicable range of this solution in shallow depth is analyzed. Comparisons with the Fourier approximated results and with the experimental measurements show that the solution is fairly suited to waves with the Ursell number not exceeding 46.7.

关键词： steady water waves universal Stokes solution fifth-order global perturbation parameter uniform current wave steepness

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Dynamical thermalization of Frenkel-Kontorova model in the thermodynamic limit

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Physical Review E 2016年第2期93卷 022216-022216页

作者： Zhenjun Zhang Chunmei Tang Peiqing Tong College of Science Hohai University Nanjing Jiangsu 210098 People's Republic of China School of Physics Science and Technology Nanjing Normal University Nanjing Jiangsu 210023 People's Republic of China Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu 210023 People's Republic of China

We study numerically the process of dynamical thermalization in the Frenkel-Kontorova (FK) model with weak nonlinearity. The total energy has initially equidistributed among some of the lowest frequency linear modes. It is found that the energy transfers continuously to the high-frequency modes and finally evolves towards energy equipartition in the FK model. However, the metastable state, which was found in Fermi-Pasta-Ulam (FPU) model and φ4 model in a relatively short time scale, is not found in the FK model. We further perform a very accurate systematic study of the equipartition time Teq as functions of the particle number N, the nonlinear parameter β, and the energy density ɛ. In the thermodynamic limit, the dependence of Teq on β and ɛ is found to display a power law behavior: Teq∝βaɛb. The exponents a and b are numerically found to be approximately −2.0 and 1.43. This scaling law is also quite different from those of the FPU-β model and φ4 model.

关键词： Lattice dynamics Lattice models in statistical physics Lattice models in condensed matter

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