大模场面积光子晶体光纤激光器展宽脉冲锁模域的束缚态运转

实验研究了大模面积光子晶体光纤飞秒激光器在近零色散点展宽脉冲锁模的束缚态运转.获得了双脉冲束缚态锁模,以及脉冲间隔不相等的多脉冲束缚态锁模,实验发现束缚态的子脉冲间距具有随机性.通过建立光纤锁模激光器的数值模型,分析了激光器束缚态锁模建立的动力学过程,在一定抽运强度下,激光器存在多个稳态,或者单脉冲运转,或者子脉冲间隔不相等的束缚态运转,这取决于锁模建立阶段半导体可饱和吸收镜(SESAM)对噪声信号的随机提取.并提出了抑制束缚态的方法,模拟得出此项技术可直接获得的最大单脉冲能量为19.6 nJ,考虑到40%左右的压缩损耗,可得到压缩至76 fs的最短脉冲,单脉冲能量为11.8 nJ.数值模拟结果能很好的与实验相符合.     

Stable solutions for qq^- bound states with a regularized Breit potential

The Breit interaction contains singular terms which may lead to an instability in quark-antiquark bound state calculations. We regularize the Breit interaction by multiplying the singular terms in momentum space by the form factor μ^2/（q^2＋μ^2） such that the interaction is not singular at the origin and the intermediate-and long-range parts of the interaction remain unchanged. The singular terms in the Breit potential find their stable contributions in the calculations after being multiplied by the form factor with different powers. Such a regularized Breit potential with a linear and a relativistically corrected confining potential are applied to the study of qq^- bound states. The spectra for most familiar mesons are consistently obtained and agree well with the experimental data.     

An Alternative Method for Calculating Bound-State of Energy Eigenvalues of Klein-Gordon for Quasi-exactly Solvable Potentials

We obtain the bound-state energy of the Klein-Gordon equation for some examples of quasi-exactly solvable potentials within the framework of asymptotic iteration method （AIM）. The eigenvalues are calculated for type- 1 solutions. The whole quasi-exactly solvable potentials are generated from the defined relation between the vector and scalar potentials.     

气相色谱-质谱法检测沉积物中自由态与束缚态多溴联苯醚和四溴双酚-A

建立了一种同时测定沉积物中不同赋存形态的多溴联苯醚(PBDEs)和四溴双酚A(TBBPA)的分析方法.样品由等体积的丙酮和正己烷混合溶剂抽提得到自由态目标物,再通过碱性水解反应释放束缚态目标化合物.通过调节酸度(pH值)实现PBDEs和TBBPA的分离和提取.PBDEs由复合硅胶柱净化,运用气相色谱-质谱(负离子化学源)-分时段选择离子监测技术测定;TBBPA经重氮甲烷衍生化反应后由酸性硅胶柱预纯化,运用气相色谱-质谱(电子轰击源)-分时段选择离子监测技术测定.8种低溴联苯醚(BDE28,-47,-66,-100,-99,-154,-153,-183),十溴联苯醚(BDE209)和TBBPA的检出限分别为0.6～12.5 pg/g,172 pg/g,4 2 pg/g.方法具有良好的准确度和精确度,回收率均在74%～106%之间,RSD≤10%.对东江沉积物样品的分析表明,本方法能够实现不同形态的PBDEs 和TBBPA的有效检测.     

The Prediction of Possible Nonstrange Dibaryon

Recently, the mixing of scalar mesons was introduced into the chiral SU（3） quark model and also dynamically applied to the baryon-baryon system. The results show that the nucleon-nucleon and hyperon-nucleon scattering data can be reasonably described for different mixing cases, one is ideal mixing and the other is θs= 19° mixing. In the present work, by taking the above parameters, the possible candidate of deltaron bound state is further predicted. We find that the contributions from σ and ε exchange to binding energy of deltaron are different, that the contribution from ε exchange is negligible, and that σ exchange is dominant. We also find that the binding energy of deltaron is very stable, around several tens of MeV, no matter what kind of mixing is adopted.     

Probing Majorana Bound States in T-Shaped Junctions

We investigate the transport properties of a pair of Majorana bound states in a T-shaped junction, where two normal leads are coupled with an identical Majorana bound state. Both the scattering matrix and the recursive Green function method show that the peak value of the differential conductance （Gpeak） in units of e2/h and the shot noise Fano factor in the zero bias limit （F0）, which are measured at the same lead and zero temperature, satisfy a linear relation as F0=1＋Gpeak/2, independent of the magnitude or symmetry of the coupling strengths to the leads. Therefore, combined measurements of the differential conductance and shot noise in the T-shaped geometry can serve as a characteristic signature in probing Majorana bound states.     

具有Kratzer型标量势与矢量势的Klein-Gordon方程和Dirac方程的束缚态

给出了具有Kratzer型标量势与矢量势的Klein-Gordon方程和Dirac方程的s波束缚态解.     

基于奇异光学束缚态的古斯-汉欣位移增大

作为一类具有代表性的光学共振模式,光学束缚态已被用于大幅增大古斯-汉欣位移。然而,在大多数的研究工作中,人们利用的是透射型的束缚态来增大古斯-汉欣位移。因此,古斯-汉欣位移的峰值位于透射谱的极大值(即反射谱的极小值)处,对应的反射率很低,这不利于实验测量与实际应用。本综述阐述了本课题组在近年来利用两种奇异的光学束缚态增大古斯-汉欣位移的研究情况。第一种光学束缚态为四部分光栅-波导复合结构中的连续谱准束缚态。古斯-汉欣位移的峰值位于反射谱的极大值处,反射率高达100%。第二种束缚态为光子晶体异质结中的界面态。界面态的反射率可由光子晶体的虚相位的失配程度进行灵活调节。古斯-汉欣位移的峰值虽位于反射谱的极小值处,但反射率仍可达到97.6%。这两种奇异的光学束缚态在大幅增大古斯-汉欣位移的同时,保持了较高的反射率,这克服了传统增大古斯-汉欣位移的方法的低反射缺点。由于这两种奇异的光学束缚态具有较高的反射率,古斯-汉欣位移将更容易在实验上被测量到,因此后续有望将其应用在各类高性能传感器、光开关、光存储器件、波分(解)复用器件和偏振分光器件的设计中。     

Existence and Concentration of Bound States of a Class of Nonlinear SchrSdinger Equations in R2 with Potential Tending to Zero at Infinity

In this paper, we establish the existence and concentration of solutions of a class of nonlinear Schr?dinger equation $$- \varepsilon ^2 \Delta u_\varepsilon + V\left( x \right)u_\varepsilon = K\left( x \right)\left| {u_\varepsilon } \right|^{p - 2} u_\varepsilon e^{\alpha _0 \left| {u_\varepsilon } \right|^\gamma } , u_\varepsilon > 0, u_\varepsilon \in H^1 \left( {\mathbb{R}^2 } \right),$$ where 2 < p < ∞, α ₀ > 0, 0 < γ < 2. When the potential function V (x) decays at infinity like (1 + |x|)^?α with 0 < α ≤ 2 and K(x) > 0 are permitted to be unbounded under some necessary restrictions, we will show that a positive H ¹(?²)-solution u _? exists if it is assumed that the corresponding ground energy function G(ξ) of nonlinear Schr?dinger equation $- \Delta u + V\left( \xi \right)u = K\left( \xi \right)\left| u \right|^{p - 2} ue^{\alpha _0 \left| u \right|^\gamma }$ has local minimum points. Furthermore, the concentration property of u _? is also established as ? tends to zero.     

Volume Effect of Bound States in Quark-Gluon Plasma

Bound states, such as qq and q^-q, may exist the volume of the bound states may evoke a reduction in investigate qualitatively the volume effect on the properties states start to be completely melted.