关于K-p两体问题的相对论修正

从基本理论出发，导出并求解了含有相对论修正的K^-介子与质子的两体薛定谔方程。其解可看作有统计解释的波函数。计算了K^p的散射长度，结果表明相对论效应是很明显的。A two-body equation of the kaon-proton system with relativistic correction is derived and solved. The solution can be considered as a wave function with the probability interpretation. The scattering lengths are calculated, and the numerical result shows that the relativistic effect is apparent.     

The Lowest Order Relativistic Corrections for K^-p Two-Body Problem

A two-body equation of the kaon-proton system with the lowest order relativistic corrections is derived and solved. The scattering lengths and the energy of an unstable bound state are calculated.     

Soliton Solutions in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential

We present both the bright and dark solitons of Bose-Einstein condensates with a time-dependent atomic scattering length in an expulsive parabolic potential. As a discussed example, we select the experimental parameter, i.e. the Feshbach-managed nonlinear coefficient reading a(t) = go exp(λt), and obtain the results which can be recovered in the literature [Phys. Rev. Lett. 94 (2005) 050402].     

反质子间相互作用的研究

随着对反物质研究的深入,人们需要迫切知道反质子之间的相互作用力是怎样的,是否与质子之间的作用是对称的。对这个作用力的测量,有助于我们理解反物质原子核的形成机制以及对物质-反物质对称性的理解。为此,STAR合作组利用相对论重离子加速器中金核-金核碰撞中产生的丰富的反质子,通过反质子-反质子动量关联函数的测量,并扣除了通过其他粒子衰变过来的次级反质子与其他反粒子关联的污染,精确地构建了反质子-反质子关联函数。然后,结合量子多粒子关联理论,定量提取出反质子-反质子的有效力程和散射长度这两个基本作用参数。研究表明,在实验精度内,反质子间的相互作用与正质子保持一致。反质子-反质子之间的强相互作用存在着吸引,它们可以克服由于同号（负电荷）的反质子-反质子之间的库仑排斥而结合成反物质原子核。这项研究首次实现了对反物质间相互作用力的测量,为进一步研究反原子核的形成和属性奠定了基础。同时为CPT对称性的检验提供了一种新的方式,对人类深刻认识物质世界的构成及其运动规律具有重要意义。With undergoing researches on antimatter physics, it is crucial to understand what the interaction between antiprotons is. Is it the same as the interaction between protons? This measurement will definitely help us to understand the formation mechanism of antimatter nuclei as well as the symmetry of matter and antimatter. In this context, our STAR collaboration measured the correlation function of antiproton-antiproton pairs from 200 GeV/c Au+Au collisions. After substracting the residual correlation due to the secondary antiprotons that decayed from other particles, the primary antiproton-antiproton correlation function is extracted. By applying the quantum theory of multi-particle correlation, two key parameters that characterize the corresponding strong interaction:namely, the scattering length (f₀) and effective range (d₀) were obtained. Within error bars, it is found that the f₀ and d₀ for the antiproton-antiproton interaction are consistent with their antiparticle counterparts -the ones for the proton-proton interaction. Like the force that holds ordinary protons together within the nuclei of atoms, the force between antiprotons is attractive and strong, which overcomes the tendency of the like (negatively) charged particles to repel one another, and allows the antiprotons to bind to form antinucleus. The current measurement is for the first time to measure the interaction between antimatter, it offers a foundation to understanding the structure of more-complex antinuclei and their properties. Also our measurement offers a new way to test the CPT symmetry, which has an important impact for human beings to understand the law of motion in our world.     

Self-Trapping of Two Weakly Coupled Bose-Einstein Condensates with Oscillating Atomic Scattering Length

We investigate the self-tapping phenomena for two weakly coupled Bose-Einstein condensates with a rapid periodic modulation of the atomic scattering length. By using an averaging method, the equations of motion of the slow dynamics are derived to analyze the self-trapping behavior. It is shown numerically that under certain conditions, an alternative self-trapping in either well appears.     

Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length

The evolution of solitons in Bose--Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential is studied. Based on the extended hyperbolic function method, we successfully obtain the bright and dark soliton solutions. In addition, some new soliton solutions in this model are found. The results in this paper include some in the literature ({\em Phys. Rev. Lett.} {\bf 94} (2005) 050402 and {\em Chin. Phys. Lett.} {\bf 22} (2005) 1855).     

η-nucleus bound states in nuclei

The binding energies εη and widths Гη of wmesic nuclei are calculated. We parameterize the η self-energy in the nuclear medium as a function of energy and density. We find that the single-particle energies are sensitive to the scattering length, and increase monotonically with the nucleus. The key point for the study of η-nucleus bound states is the η-nuclear optical potential. We study the s-wave interactions of η mesons in a nuclear medium and obtain the optical potential Uη ≈ -72 MeV. Comparing our results with the previous results, we find that the ηN scattering length aηN is indeed important to the calculations. With increasing nuclear density the effective mass of the η meson decreases.     

Hunting η-bound nuclei

The η meson can be bound to atomic nuclei.Experimental search is discussed in the form of final state interaction for the reactions dp → 3 Heη and dd → 4 Heη.For the latter case tensor polarized deuterons were used in order to extract the s-wave strength.For both reactions complex scattering lengths are deduced： a 3 Heη = ± 10.7±0.8 ＋0.1 -0.5 ＋i· 1.5±2.6 ＋1.0-0.9 fm and a 4 Heη = [±（3.1±0.5）＋i·（0±0.5）] fm.In a two-nucleon transfer reaction under quasi-free conditions,p^ 27 Al → ^3 HeX,was investigated.The system X can be the bound 25 Mg  η at rest.When a possible decay of an intermediate N  （1535） is required,a highly significant bump shows up in the missing mass spectrum.The data give for a bound state a binding energy of 13.3±1.6 MeV and a width of σ=4.4±1.3 MeV.     

中子引起氘核破裂反应的实验研究

对25 MeV中子引起氘核破裂反应的中子-中子准自由散射和17.36 MeV中子引起氘核破裂反应的中子-中子末态相互作用进行了细致的研究。首先,以小于5%的不确定度,精确测量了25MeV中子-中子准自由散射出射的中子三重微分截面。实验数据用基于现实核子-核子势（CD-Bonn,Argonne!18,Nijm I和II）的理论计算配合Monte-Carlo模拟进行了分析。实验结果比基于CD-Bonn势的理论预言高（16.0±4.6）%,进一步证实了目前的理论在中子-中子准自由散射方面还无法准确描述实验数据。其次,通过运动学非完全测量,精确测量了17.36 MeV中子引起氘核破裂反应在0°角附近出射的质子能谱,用基于现实核子-核子势（CD-Bonn、Bonn-B和Nijm I）的理论计算以及Monte-Carlo模拟分析了所测得的质子能谱,确定了中子-中子散射长度ann=（-16.8±0.6）fm。     

Effects of the Scattering Length on the Yrast Spectrum for a Two-Component Bose-Einstein Condensates

We study the energy eigenvalue and the yrast states for a harmonically two-component weak-interacting Bose-Einstein condensate (BEC) when the intra-species and interspecies scattering length are different. The energy shift for different energy eigenvalues related to intra-and interspecies scattering lengths is calculated with the perturbation method. The actual yrast spectrum is more complicated than that when intra-species and interspecies scattering length are equal. The degenerated features disappear and so do the perfect symmetric features.