在空间转动变换下的角动量本征态随转角的参变数演变的路径积分

研究在空间转动变换下,直接采用转轴的方向角与转角描述角动量本征态的演变过程,并建立一般角动量转动矩阵元以及多重转动矩阵元随转角θ的参变数λ(0→θ)演变的路径积分;给出处理泛函(路径)积分为普通多重积分的一般方法.     

高频引力波与现代宇宙学

文章简要综述了由典型现代宇宙学模型和膜振荡模型预期的微波频带的高频引力波的特性和可能的观测方案，以及研究这一课题的重要科学意义和所面临的挑战和机遇．     

Bhabha散射中的完整电弱效应与标准模型的完美性问题

本文在电弱统一标准模型(SM)的理论框架中,对Bhabha散射问题作了全新的理论分析与深入研究.在具体研究方法上采用了量子场论微扰理论中的一种全新计算模式——重整化链图传播子理论,并应用到Bhabha散射的计算研究中.在SM中,本文需要考虑Bhabha散射内部过程的完整电弱作用效应,为此应寻求出由光子γ和中间玻色子Z0构成的复杂混合圈链图重整化传播子,然后利用这类传播子计算出Bhabha散射中由混合圈链图传播子传递完整电弱作用下的反应截面.这一理论计算结果与实验值在实验观测误差范围内吻合较好.本文这一重要研究结果不但从另一个侧面证实了SM理论描述电弱作用下的粒子反应的精确性;而且也暗示SM理论应该是一个十分完美的理论,理论终极预言的且被学术界长期特别关注的希格斯"神秘粒子"最终被寻找到的可能性应该是十分大的.     

解析计算SM中电子混合链图传播下Compton 散射微分截面

采用电弱统一标准模型(SM), 对由参与电弱相互作用的各种混合圈构成的电子重整化链图传播子的构架方式作了详细分析, 并完成了有关解析计算, 进而获得了电子重整化链图传播子的解析计算结果. 作者又将此结果应用到Compton散射, 精确计算了电子混合链图传播下Compton散射微分截面的解析结果 . 此外, 作者还将计算结果与最低阶微分截面 和量子电动力学(QED)中电子链图传播下的Compton散射微分截面 做了具体的数值计算与对比分析, 发现 比 能更加精细的反应辐射修正效应.     

B→K Transition Form Factor with Tensor Current within the kT Factorization Approach

We apply the kT factorization approach to deal with the B→K transition form factor with tensor current in the large recoil regions. Main uncertainties for the estimation are discussed and we obtain FT^B→K （0） = 0.25±0.01±0.02, where the first error is caused by the uncertainties from the pionic wavefunctions and the second is from that of the B-meson wavefunctions. This result is consistent with the light-cone sum rule results obtained in the literature.     

精确计算在π~0重整化链图传播下p→p′微分截面

本文采用中性介子π0与核子N-反核子U-强相互作用的Lorentz不变耦合模型,对质子反质子在中性介子π0重整化链图传播下的散射微分截面,作了严格解析计算后获得了"精确"理论结果;进而,又对该计算结果与π0树图传播下的微分截面作了对比分析,获得了相关辐射修正的重要结果.这对于深入研究质子摊贩质子在高、中、低能区中的弹性碰撞及其描述强相互作用的Lorentz不变耦合模型理论,都将提供某些值得借鉴与参考的理论研究价值.     

强γ背景下中子针孔成像的点扩展函数

 利用基于Geant4建立起来的针孔成像模型获得了不同偏移量下γ与中子的好事例、能量沉积的比值,并模拟分析了强γ背景对中子针孔成像点扩展函数的影响。研究结果表明:在偏移量小于1 cm时,γ与中子的好事例之比、γ与中子的能量沉积峰值之比以及γ与中子的能量沉积总和之比分别在0.40～0.42,0.63～0.65以及0.46～0.49之间;偏移量大于1 cm时,比值下降明显,γ对中子的影响减小。在同一偏移量下,γ射线的点扩展函数的分布范围要比中子的小,两者叠加后所获得的点扩展函数的分布范围介于两者之间。在一定入射偏移范围内的成像质量优于在针孔中心位置入射时的成像质量。     

在同位旋SU(2)不变耦合模型中研究 p pbar -> n nbar 核子反应的重整化无穷阶链图效应

本文采用描述中性及荷电 pion 介子（pion0,pion+,pion-）与核子-反核子强相互作用的同位旋SU(2)不变耦合模型,计算出在pion0 及 pion+, pion- 重整化链图传播下 p pbar -> n nbar 核子反应微分截面的“精确”解析结果;并且将此结果与在 pion0 及 pion+, pion- 树图传播下的微分截面作了对比分析,得到相应的辐射修正重要信息。本文完成的工作对进一步深入研究三种荷电状态 pion 介子与核子-反核子强相互作用的同位旋SU(2)不变耦合模型以及深入理论探讨质子-反质子对撞实验,都将提供某些理论研究的参考价值。     

Hadronic Decays of the Spin-Singlet Heavy Quarkomium under the Principle of Maximum Conformality

The principle of maximum conformality （PMC） provides a way to eliminate the conventional renormalization scale ambiguity in a systematic way. By applying the PMC scale setting, all non-conformal terms in a perturbative series are summed into the running coupling, and one obtains a unique, scale-fixed prediction at any finite order. In this study, we make a detailed PMC analysis for the spin-singlet heavy quarkoniums decay （into light hadrons） at the next-to-leading order. After applying the PMC scale setting, the decay widths for all those cases are ahnost independent of the initial renormalization scales. The PMC scales for ηc and he decays are below 1 GeV; to achieve a confidential pQCD estimation, we adopt several low-energy running coupling models to carry out the estimation. By taking the MPT model, we obtain Г（ηc → LH） = 25.09 -4.28^＋5.52 MeV, F（ηb →LH） 14.34-0.84^＋0.92 feV, Г（hc →LH） = 0.54-0.04^＋0.06 MeV and Г（hb →LH） = 39.89-0.46^＋0.28 keV, where the errors are calculated by taking mc E[1.4OGeV, 1.60GeV] and mb C[4.50GeV, 4.70GeV]. These decay widths agree with the principle of minimum sensitivity estimations, in which the decay widths of ηc,b are also consistent with the measured ones.     

High-frequency gravitational waves having large spectral densities and their electromagnetic response

Various cosmology models, brane oscillation scenarios, interaction of interstellar plasma with intense electromagnetic radiation, and even high-energy physics experiments （e.g., Large Hadron Collider （LHC）） all predict high frequency gravitational waves （HFGWs, i.e., high-energy gravitons） in the microwave band and higher frequency region, and some of them have large energy densities. Electromagnetic （EM） detection to such HFGWs would be suitable due to very high frequencies and large energy densities of the HFGWs. We review several typical EM detection schemes, i.e., inverse Gertsenshtein effect （G-effect）, coupling of the inverse G effect with a coherent EM wave, coupling of planar superconducting open cavity with a static magnetic field, cylindrical superconducting closed cavity, and the EM sychro-resonance system, and discuss related minimal detectable amplitudes and sensitivities. Furthermore, we give some new ideas and improvement ways enhancing the possibility of measuring the HFGWs. It is shown that there is still a large room for improvement for those schemes to approach and even reach up the requirement of detection of HFGWs expected by the cosmological models and high-energy astrophysical process.