K(m,n)方程与B(m,n)方程的无穷序列新精确解

进一步研究了辅助方程法,给出了几种常用辅助方程的新解、B(a|¨)cklund变换和解的非线性叠加公式.在此基础上,根据m和n的不同情况,利用变换和直接积分相结合的方法,获得了K(m,n)方程与B(m,n)方程的无穷序列新精确解.这里包括无穷序列光滑孤立子解、无穷序列尖峰孤立子解和无穷序列紧孤立子解.     

Calculation of Quark-Number Susceptibility at Finite Chemical Potential and Temperature

We use the direct method proposed by He et al. [Phys. Lett. B 680 （2009） 432） to calculate the quark-number susceptibility （QNS） at finite temperature and the chemical potential in the quasi-particle model. In our approach the QNS is given by a formula solely involving the dressed quark propagator at finite chemical potential μ and temperature Τ. The QNS at finite μ and Τ is calculated in the quasi-particle model. It is found that at high temperatures the QNS tends to the ideal quark gas result. At very small temperatures the QNS vanishes. This vanishing behavior in the low-temperature region is consistent with the lattice results. For μ∈ [0,180] MeV, our results show that there exists a rapid increase of QNS near some temperatures. The temperature at which the rapid increase occurs shifts to smaller values with the increasing quark chemical potential. This rapid increase could be regarded as a signal of a crossover.     

The Renormalized Equation of State and Quark Star

By means of the EOS of QCD at zero temperature and finite quark chemical potential we proposed [Phys. Rev. D 78 （2008） 054001] in the framework of rainbow-ladder approximation of Dyson-Schwinger approach, we investigate the structure of quark star and its property. It is found that the mass-radius relation in our model is very different from that of usual quark star models, but similar to neutron star models. The obtained mass of quark star is about 1.75M⊙- 2.2M⊙. The obtained radius of quark star is 22 - 26 km, which is obviously larger than the results in other models. The reason for this discrepancy is analyzed.     

Chemical Potential Dependence of Two-Quark Condensates

By adopting the background field method, the response of the dressed quark propagator to the presence of finite chemical potential is analysed up to the second order. From this, we obtain a model-independent formula for the chemical potential dependence （up to the second order） of the in-medium two-quark condensate and show by both Lorentz covariance arguments and explicit calculations that the O（μ） contribution to the in-medium two-quark condensate vanishes identically.     

ZnS纳米微粒的形貌结构对其光学特性的影响

报道在聚乙烯醇（PVA）膜上采用离子络合法镶嵌的ZnS纳米微粒的形貌结构与光学特性。透射电子显微镜结果表明，在聚乙烯醇膜中的ZnS纳米微粒分布比较均匀，粒径可控制在2－7nm的范围内；电子衍射分析表明，ZnS纳米微粒具有类似于β－ZnS体材料的晶体结构。室温下的光发射峰的位置在414～440nm范围内。着重分析了ZnS纳米形貌结构与其发射波长和强度之间的关系，并探讨了其不同的发射机理。     

190─200Pt偶质量同位素低能激发态的微观研究

从壳模型组态､价核子间有效相互作用及费米子E2跃迁算子出发,利用一种以Dyson玻色子展开为基础的微观方案,给出了sdgIBM-1哈密顿量及玻色子E2跃迁算子,计算了^190─200Pt偶质量同位素的低激发态能谱及E2约化跃迁矩阵元.理论计算结果与实验值或唯象工作做了比较,符合较好.     

Does There Exist Only One Solution of the Dyson-Schwinger Equation for the Quark Propagator in the Case of Non-Zero Current Quark Mass

It is shown on general ground that there exist two qualitatively distinct solutions of the Dyson-Schwinger equation for the quark propagator in the case of non-zero current quark mass. One solution corresponds to the “Nambu- Goldstone” phase and the other one corresponds to the “Wigner” phase in the chiral limit.     

几种辅助方程与非线性发展方程的无穷序列精确解

本文为了获得非线性发展方程新的无穷序列精确解,给出了几种辅助方程的Böcklund变换和解的非线性叠加公式,并构造了一些非线性发展方程新的无穷序列精确解,其中包括无穷序列Jacobi椭圆函数解、无穷序列双曲函数解和无穷序列三角函数解.该方法在构造非线性发展方程无穷序列精确解方面具有普遍意义. 关键词： 辅助方程法 解的非线性叠加公式 无穷序列解 非线性发展方程