二维Dilaton引力模型中的带电Sine–Gordon孤子解

获得了二维dilaton引力模型中的周期解,通过坐标变换证明了周期解和带电sine Gordon孤子解的等价性     

多组分耦合非线性薛定谔方程的3-孤子解及其相互作用

研究了带有变系数的N阶耦合非线性薛定谔方程,获得了其3-孤子解,并通过渐近分析和图像分析研究了孤子的相互作用。结果表明,当本征值不同时, 3-孤子解分别为常规孤子、束缚态孤子以及常规孤子和束缚态孤子的组合;当满足特定条件时,常规亮孤子和束缚态亮孤子可实现弹性相互作用,也可实现非弹性相互作用,而暗孤子仅存在非弹性相互作用;对于常规孤子和束缚态孤子的组合,亮孤子分量的相互作用规律较为复杂,受参数取值影响较大,但暗孤子分量依然保持弹性相互作用。     

耦合暗孤子在自散焦介质中的传输特性

空间光孤子是介质衍射效应和非线性效应相平衡的结果。当两束非相干光在非线性介质中传输时,两孤子发生交叠而产生相互作用,本文研究自散焦介质中非相干耦合暗孤子对的传输特性和相互作用。基于描述光束传播的耦合非线性薛定谔方程组,利用变分法,首先得到了自散焦克尔介质中传输的两暗孤子的幅值、横向中心位置坐标、速度和相位随传输距离变化的参数演化方程组,讨论了孤子参数演化的规律。然后,为分析孤子间相互作用,导出了两幅值相等的暗孤子在传输过程中孤子间距随传输距离的变化规律,作出了孤子对传输图像和相互作用图像,最后导出了孤子间相互作用势能和相互作用力的表达式,并利用图像详细分析了孤子间的相互作用特性。研究结果表明:无损耗情况下,孤子的幅值不受耦合作用的影响,传输过程中保持不变;耦合相互作用使两孤子横向中心位置坐标发生明显漂移,当两孤子间距较小时,孤子间距随传输距离作变速变化,变化速率与孤子的幅值和耦合程度有关,当两孤子间距趋近于零时,孤子间距随传输距离呈匀速的稳定变化;暗孤子间的相互作用力为排斥力,随着孤子间距增大,排斥力先增大后减小,而相互作用势能一直逐渐减小,当孤子间距增至4.5附近时,孤子间势能减小到几乎为零。     

非拓扑孤子袋模型的退禁闭相变和φ~4场的对称性恢复相变

在Hartree平均场近似和高温近似下,本文建立了φ~4模型和非拓扑孤子袋模型的某些特解间确定的映射关系。从映射关系我们看到φ~4场的非球对称拓扑孤子和反孤子配对形成束缚态——孤子袋模型的非球对称非拓扑孤子解。当拓扑孤子和反孤子消失时,φ~4模型发生对称性恢复相交;当拓扑孤子和反孤子的束缚态非拓扑孤子消失时,孤子袋模型的退禁闭相变发生。     

暗孤子在高斯变迹光纤光栅中的演化

运用快速傅里叶方法数值模拟了暗孤子在高斯变迹光纤光栅中的演化以及暗孤子之间的相互作用。结果表明,在一定条件下光纤光栅的正常色散区可以维持暗孤子的稳定传输,并且孤子的稳定性与f的取值(孤子离禁带的位置)和非线性系数有关。输入两个暗孤子时,孤子之间的相互作用随f的增大而加强,当f继续增大时孤子中心和背景处出现震荡现象并演化产生灰孤子;f越大,两个孤子的稳定性对非线性效应越敏感。     

非局域非线性耦合器中多极亮孤子的特性

研究了一维非局域非线性耦合器中多极亮孤子的存在条件和稳定传输.用牛顿迭代法得到了二极和三极亮孤子.由于较强的非局域响应诱导孤子间的吸引作用比排斥作用大,此时二极孤子不能稳定传输,两孤子相互吸引,融合成一个孤子.随着非局域参数的减小,非线性效应和衍射效应达到平衡时,二极孤子能稳定传播.随着传播常数的减小,孤子的幅值减小,束宽变窄,使得孤子能稳定传播.对于三极亮孤子,在非局域参数较小的时候,耦合的两个三极孤子都不能进行稳定传输.传输一段距离后三极孤子发生碰撞,融合成两极孤子,两极孤子继续传输,最终融合成为一束振荡的光束.随着非局域参数的增大,三极孤子传播的稳定性增强.当传播常数取负数时,随着其绝对值的减小,三极亮孤子的幅值增大,束宽减小,孤子传播的稳定性增强.最后,通过加入白噪声进一步验证了这些亮孤子传播稳定性.     

高阶孤子在光纤中传输的数值研究

通过数值求解非线性薛定谔方程,得到了二阶和三阶孤子的传输特性,并和一阶孤子做了比较.对于二阶孤子和三阶孤子间的相互作用做了分析,讨论了三阶色散对高阶孤子相互作用的影响,得出随着三阶色散的增大,会使孤子的衰变具有新的特性,将会导致光孤子通信的误码率加大.     

非局域高次非线性介质中的多极暗孤子

研究一维非局域三-五次非线性模型下,暗孤子和多极暗孤子的新解和传输特性.发现非局域程度和非线性参量变化对暗孤子的峰值和束宽产生影响,并且在特定的竞争非局域非线性参数下存在稳定基态暗孤子和多极暗孤子的束缚态.另外,讨论了在局域自聚焦三次和非局域自散焦五次非线性介质中暗孤子和两极暗孤子的传输特性,发现孤子比在自散焦三次和自聚焦五次的非线性介质中传输更加稳定.进一步研究了单暗孤子和三极暗孤子的功率与传播常数和非局域程度的关系,并讨论了不同类型暗孤子的线性稳定性问题.     

非局域非线性耦合器中暗孤子的传输

研究了空间暗孤子在非局域非线性耦合器中的新解和传输稳定性.发现非局域非线性耦合器中存在稳定的基态暗孤子和多极暗孤子的束缚态.分析了非局域程度、非线性参数、传播常数和耦合系数变化对基态暗孤子的峰值、束宽和功率的影响.讨论了基态暗孤子和多极暗孤子的传输稳定性,发现基态暗孤子在其存在的区域总是稳定的,偶极以及多极暗孤子存在不稳定区间,稳定区间取决于传播常数和介质的非局域程度,并且多极暗孤子的稳定传输还受孤子间距的影响.     

高阶效应影响下高阶孤子在超常介质中的传输特性研究

基于描述超短脉冲在超常介质中传输的非线性薛定谔方程,本文数值研究了高阶效应影响下高阶亮、暗孤子在超常介质中的传输情况。数值模拟表明,三阶色散和自陡峭效应都会引起高阶孤子的分裂和辐射,破坏高阶亮孤子周期性演化特性,导致高阶暗孤子分裂出的灰孤子不对称;孤子的阶数越高,三阶色散和自陡峭的影响越大。利用超常介质可控的色散和非线性特性,通过调节三阶色散和自陡峭效应的系数,发现超常介质中可以基本支持二阶亮孤子、二阶暗孤子和三阶暗孤子的稳定演化。本文的研究结果为将来进一步研究超常介质中高阶亮、暗孤子的存在及传输特性提供了一定的参考价值。     

Production of Charged Higgs Bosons from Left-Right Twin Higgs Model at TeV Energy e-γ Colliders

The left-right twin Higgs (LRTH) model predicts the existence of three additional Higgs bosons: one neutral Higgs ø⁰ and a pair of charged Higgs bosons ø^±. In this paper, we study two pair production processes of these new particles at the next generation eγ colliders, i.e., e^-γ → e^-ø⁺ø^-, ande^-γ→ ν_Rø^-ø⁰. We find that the production cross section of the process e^-γ →e^-ø⁺ø^- are at the level of several tens fb, the production cross section of the process e^-γ→ν_Rø^-ø⁰ can reach 0.35 fb with the reasonable parameter values. As long as the charged Higgs bosons are not too heavy, we conclude that these processes might be used to test for the left-right twin Higgs model in future high-energy linear collider experiments.     

ηπ+ π- resonant structure around 1.8 GeV/c(2) and η(1405) in J/ψ → ωηπ+ π-

We present results of a study of the decay J/ψ → ωηπ+ π- using a sample of (225.2 ± 2.8) × 10(6) J/ψ events collected by the BESIII detector, and report the observation of a new process J/ψ → ωX(1870) with a statistical significance of 7.2σ, in which X(1870) decays to a(0)(±)(980)π±. Fitting to ηπ+ π- mass spectrum yields a mass M = 1877.3 ± 6.3(stat)(-7.4)(+3.4)(syst) MeV/c(2), a width Γ = 57 ± 12(stat)(-4)(+19)(syst) MeV/c(2), and a product branching fraction B(J/ψ → ωX) × B(X→a(0)(±)(980)π±) × B(a(0) (±)(980) → ηπ±) = [1.50 ± 0.26(stat)(-0.36)(+0.72) (syst)] × 10(-4). Signals for J/ψ → ωf(1)(1285) and J/ψ → ω η(1405) are also clearly observed and measured.     

Observation of the h(c)(1P) Using e+ e- collisions above the DD threshold

Using 586 pb(-1) of e+ e- collision data at E(c.m.) = 4170 MeV, produced at the Cornell Electron Storage Ring collider and collected with the CLEO-c detector, we observe the process e+ e- → π+ π- h(c)(1P). We measure its cross section to be 15.6±2.3±1.9±3.0 pb, where the third error is due to the external uncertainty on the branching fraction of ψ(2S) → π0 h(c)(1P), which we use for normalization. We also find evidence for e+ e- → ηh(c)(1P) at 4170 MeV at the 3σ level and see hints of a rise in the e+ e- → π+ π- h(c)(1P) cross section at 4260 MeV.     

First observation of B(s)(0) → J/ψη and B(s)(0) → J/ψη'

We report first observations of B(s)(0) → J/ψη and B(s)(0) → J/ψη'. The results are obtained from 121.4 fb(-1) of data collected at the Υ(5S) resonance with the Belle detector at the KEKB e+ e- collider. We obtain the branching fractions B(B(s)(0) → J/ψη)=[5.10±0.50(stat)±0.25(syst)(-0.79)(+1.14)(N(B(s)(*) B(s)(*))]×10(-4), and B(B(s)(0) → J/ψη')=[3.71±0.61(stat)±0.18(syst)(-0.57)(+0.83)(N(B(s)(*) B(s)(*))]×10(-4). The ratio of the two branching fractions is measured to be (B(B(s) → J/ψη'))/(B(B(s) → J/ψη))=0.73±0.14(stat)±0.02(syst).     

2-(4-氟代苯甲酰基)苯甲酸-铕配合物的合成、结构表征及荧光性能的研究

以硝酸铕、2-(4-氟代苯甲酰基)苯甲酸(HL)、1,10-菲咯啉(Phen)和三苯基氧膦(TPPO)合成了EuL₃(H₂O)₆,EuL₃Phen(H₂O)₄和EuL₃(TPPO)(H₂O)₅三种固态配合物。用元素分析、红外光谱、核磁共振氢谱对配合物进行了组分确定和结构表征。IR表明,2-(4-氟代苯甲酰基)苯甲酸与Eu3+形成配合物后,位于1 692 cm-1处羧基的ν_CO峰消失,2 500～3 200 cm-1处羧基的ν_O—H峰也消失,出现了羧酸盐特有的反对称伸缩振动吸收峰(ν_as(CO-₂))和对称伸缩振动吸收峰(ν_s(CO-₂)),且Δν(ν_as(CO-₂)-ν_s(CO-₂))与钠盐的Δν相近,说明羧酸根与Eu3+以对称双齿桥式配位。在1H NMR中,形成配合物后第一配体苯环上的质子峰变为宽峰且移向高场,Phen和TPPO中质子化学位移移向低场。室温下测定了配合物的荧光激发光谱和发射光谱,激发光谱表明配合物EuL₃(H₂O)₆,EuL₃Phen(H₂O)₄和EuL₃(TPPO)(H₂O)₅的最佳激发波长分别为353.0,355.0和357.0 nm;发射光谱均显示Eu3+离子的特征发射光谱,且表明Phen对Eu3+离子的荧光发射有明显增强作用。     

Wγ production and limits on anomalous WWγ couplings in pp collisions at sqrt[s] = 1.96 TeV

We measure the cross section and the difference in rapidities between photons and charged leptons for inclusive W(→lν) + γ production in eγ and μγ final states. Using data corresponding to an integrated luminosity of 4.2 fb(-1) collected with the D0 detector at the Fermilab Tevatron Collider, the measured cross section times branching fraction for the process pp → Wγ + X → lνγ + X and the distribution of the charge-signed photon-lepton rapidity difference are found to be in agreement with the standard model. These results provide the most stringent limits on anomalous WWγ couplings for data from hadron colliders: -0.4<Δκ(γ)<0.4 and -0.08<λ(γ)<0.07 at the 95% C.L.     

Search for a very light CP-odd Higgs boson in top quark decays from pp collisions at sqrt(s)]=1.96 TeV

We present the results of a search for a very light CP-odd Higgs boson a(1)(0) originating from top quark decays t → H(±)b → W(±(*)) a(1)(0)b, and subsequently decaying into τ+ τ-. Using a data sample corresponding to an integrated luminosity of 2.7 fb(-1) collected by the CDF II detector in pp collisions at 1.96 TeV, we perform a search for events containing a lepton, three or more jets, and an additional isolated track with transverse momentum in the range 3 to 20 GeV/c. Observed events are consistent with background sources, and 95% C.L. limits are set on the branching ratio of t → H(±)b for various masses of H(±) and a(1)(0).     

Study of Exclusive Hadronic Decays for D0→Ks0π+π- and D0→Ks0K+K- and Their Resonant Structures

We report the results of an experimental study of the exclusive hadronic decays for D0→K0 sπ+π - and K 0 sK +K - and their resonant structures using BES-Ⅰ detector at the BEPC Collider. Using the data sample of 22.3 pb -1 collected at the center-of-mass energy s=4.03 GeV, we measured the branching fraction for D 0→K 0π +π - to be (5.32±0.53±0.40)%, the branching fractions for the decays D 0→ K *-π +, D 0→K 0ρ 0 and D 0→K 0(π +π -) non-resonant to be (6.05±0.32±0.49)%, (1.17±0.17±0.13)% and (1.35±0.22±0.17)%, respectively. We measured the branching fractions Br(D 0→f) to be (1.04±0.24± 0.16)% for f=K 0K +K -, (1.12±0.34±0.15)% for f=K0, and (0.27±0.13±0.03)% for f=K 0(K+K-)non-.     

Observation of B(s)(0) → J/ψf(2)'(1525) in J/ψK+ K- final states

The decay B(s)(0) → J/ψK+ K- is investigated using 0.16 fb(-1) of data collected with the LHCb detector using 7 TeV pp collisions. Although the J/ψ? channel is well known, final states at higher K+ K- masses have not previously been studied. In the K+ K- mass spectrum we observe a significant signal in the f(2)'(1525) region as well as a nonresonant component. After subtracting the nonresonant component, we find B(B(s)(0) → J/ψf(2)'(1525))/B(B(s)(0) → J/ψ?) = (26.4 ± 2.7 ± 2.4)%.     

Multiphoton double ionization of Ar in intense extreme ultraviolet laser fields studied by shot-by-shot photoelectron spectroscopy

Photoelectron spectroscopy has been performed to study the multiphoton double ionization of Ar in an intense extreme ultraviolet laser field (hν ～ 21 eV, ～ 5 TW/cm2), by using a free electron laser (FEL). Three distinct peaks identified in the observed photoelectron spectra clearly show that the double ionization proceeds sequentially via the formation of Ar(+): Ar+hν→Ar (+) + e? and Ar2(+) + 2hν→Ar(+) + e?. Shot-by-shot recording of the photoelectron spectra allows simultaneous monitoring of FEL spectrum and the multiphoton process for each FEL pulse, revealing that the two-photon ionization from Ar(+) is significantly enhanced by intermediate resonances in Ar(+).