Propagators and Masses of Light Quarks

Based on Dyson-Schwinger equations in “rainbow“ approximation, fully dressed confining quark propagator is obtained, and then the masses of light quarks (mu, md, and ms) are derived from the fully dressed confining quark propagator. At the same time, the local and non-local quark vacuum condensates as well as the quark-gluon mixed condensate are also predicted. Furthermore, the quark masses are also deduced from the Gell-Mann-Oakes-Renner relation and chiral perturbative theory. The results from different methods are consistent with each other.     

Propagators and Masses of Light Quarks

Based on Dyson-Schwinger equations in “rainbow” approximation, fully dressed confining quark propagator is obtained, and then the masses of light quarks (mu, md, and ms) are derived from the fully dressed confining quark propagator. At the same time, the local and non-local quark vacuum condensates as well as the quark-gluon mixed condensate are also predicted. Furthermore, the quark masses are also deduced from the Gell-Mann-Oakes-Renner relation and chiral perturbative theory. The results from different methods are consistent with each other.     

夸克和弦模型中非奇异轻介子的类雷吉谱(英文)

本工作重新考察了相对论弦模型和准相对论夸克模型中轻介子的类雷吉谱。基于辅助场技术,提出了非奇异轻介子的一个解析质量公式,由此推导出了一个准线性的Regge-Chew-Frautschi轨迹关系,并将此关系用相应介子的实验数据（PDG）进行了检验。检验结果表明,和实验观测数据比较,夸克模型对介子质量的预言与弦模型的相符,但在角动量较大时,夸克模型的预言稍微优于弦模型。We revisit the Regge-like spectra of light mesons in the relativistic string model and the simirelativistic quark model. An analytical mass formula is proposed for light mesons based on the auxiliary field technique, and a quasi-linear Regge-Chew-Frautschi plot with flavor dependence is derived and verified with the experimental data(PDG) for light mesons.The results show that the quark model predictions for meson masses agree with those of the string model, but are slightly better when the angular momentum is relatively large as compared with the observed data.     

合肥光源逐束团相位测量及纵向不稳定性诊断

为了研究储存环束流多束团纵向运动特性,在合肥光源（HLS-II）上研制了一套逐束团相位测量系统。该系统利用示波器直接采集BPM和信号,采用过零点检测法、时间差分（Temporal Difference, TD）法相结合的方法从BPM和信号中提取出逐束团相位。介绍了逐束团相位测量系统的系统构架、相位提取方法以及在HLS-II上的一些实验结果。通过对该系统记录的5 ms时间长度的逐束团多圈相位数据的离线分析,得到多束团纵向运动的同步振荡的频率、纵向工作点、束团振荡的模式信息以及振荡模式增长率等特征信息,诊断出HLS-II在top-off恒流运行期间存在2个较强的纵向耦合束团不稳定模式,并提取出了2个振荡模式的增长率。该系统的逐束团相位测量结果及相关纵向不稳定性分析可为机器研究、纵向反馈系统调试评估及高频RF系统的性能评估等提供参考。     

Masses and Widths of Light Scalar Mesons in Chiral Perturbation Theory

Based on the diquark model, we assume that the light scalar mesons are q^2q^-2 states rather than qq^-. The chiral effective Lagrangian for the light scalar meson is constructed, and the mass relations are obtained： the isotriplet （a0） and the isosinglet （f0） are the heaviest and are degenerate, the isodoublets （κ） are heavier and the other isosinglet （σ） is the lightest; and 2Mκ^2 = Mα0^2＋ Mσ^2. Using experimental value for a0 and σ mass, we obtain Mκ=794 MeV, which is consistent with the experimental value. Then taking Г（a0^0 →ηπ^0） = 90 MeV and Г（f0→π^0π^0） = 20 MeV, we get the width of σ is： Г（σ0→π^＋π^-）= 150 MeV.     

Pion Decay Constant and Masses of Light Quarks and In-medium Goldstone Bosons

Based on the fully dressed confining quark propagator, the pion decay constant f_π, local quark vacuum condensate, and the masses of light quarks and in-medium Goldstone bosons are investigated. The pion decay constant f_π is predicted and compared with its value of experimental measurement. A great agreement is obtained. With the predicted f_π and values of Goldstone boson masses measured by experiments in free configuration the current masses of light quarks and the masses of in-medium Goldstone bosons are obtained.     

Electric dipole moments in pseudo-Dirac gauginos

The SUSY CP problem is one of serious problems in construction of realistic supersymmetric standard models. We consider the problem in a framework in which adjoint chiral multiplets are introduced and gauginos have Dirac mass terms induced by a U(1)$\mathrm{U}(1)$ gauge interaction in the hidden sector. This is realized in hidden sector models without singlet chiral multiplets, which are favored from a recent study of the Polonyi problem. We find that the dominant contributions to electron and neutron electric dipole moments (EDMs) in the model come from phases in the supersymmetric adjoint mass terms. When the supersymmetric adjoint masses are suppressed by a factor of ∼100 compared with the Dirac ones, the electron and neutron EDMs are suppressed below the experimental bound even if the SUSY particle masses are around 1 TeV. Thus, this model works as a framework to solve the SUSY CP problem.     

Associated production of sfermions and gauginos at high-energy ee colliders

In the context of the minimal supersymmetric extension of the standard model, we analyze the production at future high-energy e ⁺ e ^- colliders of second and third generation scalar leptons as well as scalar quarks in association with neutralinos and charginos, . In the case of third generation squarks, we also discuss the associated production with gluinos. We show that the cross sections for some of these three-body final state processes could be significant enough to allow for the detection of scalar fermions with masses above the kinematical two-body threshold, . We then discuss, taking as a reference example the case of scalar muons, the production cross sections in various approximations and make a comparison with the full four-body production process, , in particular around the two-sfermion threshold. Received: 27 June 2002 / Published online: 20 September 2002     

Associated production of sfermions and gauginos at high-energy ee colliders: The case of selectrons and electronic sneutrinos

We analyze the associated production at future high-energy e ⁺ e ^- colliders, of first generation sleptons with neutralinos and charginos in the modes e ⁺ e ^- and , in the framework of the minimal supersymmetric extension of the standard model. We show that the production rates, in particular for associated production of right-handed selectrons and the lightest neutralino which in general is the first accessible kinematically, can be much larger than the corresponding ones for second and third generation scalar leptons and for scalar quarks. With the high luminosities expected at these colliders, the detection of first generation sleptons with masses significantly above the kinematical two-body threshold, , is thus possible in favorable regions of the parameter space. Received: 27 June 2002 / Published online: 20 September 2002     

Light Quark Masses in the Theory with the Dynamical Breaking of Chiral Symmetry

JETP Letters - Mass formulas and decay constants of pseudoscalar π and K mesons have been obtained in the theory with four-quark interactions. To calculate the quark determinant, a Volterra...     

Parabolic resonances and instabilities

A parabolic resonance is formed when an integrable two-degrees-of-freedom (d.o.f.) Hamiltonian system possessing a circle of parabolic fixed points is perturbed. It is proved that its occurrence is generic for one parameter families (co-dimension one phenomenon) of near-integrable, two d.o.f. Hamiltonian systems. Numerical experiments indicate that the motion near a parabolic resonance exhibits a new type of chaotic behavior which includes instabilities in some directions and long trapping times in others. Moreover, in a degenerate case, near a flat parabolic resonance, large scale instabilities appear. A model arising from an atmospherical study is shown to exhibit flat parabolic resonance. This supplies a simple mechanism for the transport of particles with small (i.e. atmospherically relevant) initial velocities from the vicinity of the equator to high latitudes. A modification of the model which allows the development of atmospherical jets unfolds the degeneracy, yet traces of the flat instabilities are clearly observed. (c) 1997 American Institute of Physics.     

Bragg-grating-enhanced polarization instabilities

Experiments demonstrate a dramatic decrease in polarization-instability threshold as an optical pulse is tuned near the short-wavelength edge of the photonic bandgap formed by a fiber Bragg grating. These enhanced nonlinear interactions and birefringent effects are modeled with coupled-mode numerical simulations. Nonlinearities are shown to increase much more rapidly than the effective birefringence as the pulse wavelength approaches the bandgap edge.     

Quantum linearization instabilities

We discuss quantizing the perturbations of a symmetrical background space-time and are led to study the quantum analogue of linearization instabilities. We outline the derivation of the second-order quantum constraints that arise whenever perturbations of symmetric space-times with compact Cauchy surfaces are quantized. These second-order constraints require invariance of all the allowed quantum states (not just the vacuum state) under the symmetry group of the background space-time. This result is discussed in light of the conclusion by Gibbons and Hawking that the thermal radiation produced by event horizons in de Sitter space is invariant under the de Sitter group and thus does not admit a semiclassical interpretation.This essay was awarded the second prize for 1978 by the Gravity Research Foundation. (Ed.)Supported in part by National Science Foundation Grant No. PHY76-82353.