Branching fractions and direct C P asymmetries of ■_s →K~0h~+h′~-(h(′)=K,π) decays

Motivated by the recent LHCb collaboration measurements of charmless three-body decays of ■s meson, we calculate the branching fractions of ■ s →K0π+π-, ■s→K0K+K-, ■s→K0π+K- and ■s→K0K+π- decay modes using the factorization approach.Both the resonant and nonresonant contributions are studied in detail. For the decays ■s→K0π+π- and ■s→K0K+K-, our results agree well with experimental data, and the former is dominated by the K*, while the latter one is dominated by the nonresonant contribution. Considering the flavor S U(3) symmetry violation, the sum of branching fractions of ■s→K0π+K- and ■s→K0K+π-could accommodate the data well too. It should be noted that both branching fractions are sensitive to the scalar density Kπ|ˉsq|0.Furthermore, the resonant contributions are dominated by the scalar K*0(1430). We hope that these branching fractions could be measured individually in the experiments so as to test the factorization approach and the flavor S U(3) asymmetry. Moreover, the direct C P asymmetries of these decays are also investigated, which could be measured in the running LHCb experiment and Super-b factory in the future.     

可待因及福尔可定的密度泛函理论计算模拟和表面增强拉曼光谱测定北大核心CSCD

运用密度泛函理论(DFT)对可待因及福尔可定进行几何构型优化,从而对标准品粉末的拉曼光谱的振动模式进行指认和归属,并与低浓度水平标准溶液的表面增强拉曼谱图进行比较。进一步优化了表面增强拉曼光谱检测条件,并摸索可待因及福尔可定的测定下限及定量分析的可行性。结果表明,可待因及福尔可定大部分特征峰拉曼位移的理论计算值、拉曼光谱测定值、表面增强拉曼光谱测定值是一致的,但会有一定程度的蓝移和红移;可待因、福尔可定的测定下限均为10 mg·L^(-1)。可待因在631.29 cm^(-1)和1 595.26 cm^(-1)处、福尔可定在628.58 cm^(-1)和1 251.41 cm^(-1)处的特征峰强度比值,与其对应的质量浓度(40~100 mg·L^(-1))呈线性关系。对空白基质进行加标回收试验,可待因和福尔可定的回收率分别为99.0%~105%和102%~104%,测定值的相对标准偏差(n=5)分别为5.3%,5.9%。上述方法可为这两种管制药品提供拉曼光谱检测的理论依据和快检支持。     

8-氯-5,6-二氢-11H-苯并[5,6]环庚烷并[1,2-b]吡啶-11-酮的合成工艺研究进展

8-氯-5,6-二氢-11H-苯并[5,6]环庚烷并[1,2-b]吡啶-11-酮是合成氯雷他定、地氯雷他定、卢帕他定等第二代抗组胺药的重要中间体。本文对其合成方法进行了综述。     

三用定积分

定积分是新课标的新增内容,它不仅为传统的高中数学注入了新鲜血液,还给学生提供了数学建模的新思路、用数学的新意识,通常利用定积分可以求平面图形的面积、变速直线运动的路程及变力作功等.另外,利用定积分也能证明不等式,下面举例说明.     

定积分的一个性质及其应用

对定积分的一个性质提供了两个证明,且一个是直接的,一个是间接的.而后又举出几个例子,作为这一性质的应用.     

《工业用水及污水水质分析》

该书在介绍工业锅炉用水、循环冷却用水及污水水质分析方法的同时,对操作过程中可能遇到的各种问题提出了具体的解决办法,并汇入到各方法的"注意事项"中。对共性问题,在书后附"注意事项"索引,以方便查找。各分析方法中     

蒸汽锅炉与热水锅炉水中元素变化比较分析

以电感耦合等离子体-光学发射光谱法(ICP-OES)测定蒸汽锅炉与热水锅炉水中9种元素含量变化。方法的回收率在90.0%—02.6%之间,相对标准偏差0.87%—3.12%。实验证明锅炉进水中含量最高的元素是钙、钠和镁。经过蒸汽锅炉和热水锅炉处理后,水中的微量元素发生了显著变化,且蒸汽锅炉和热水锅炉中的水质也有一定的差异。     

多背包问题的半定松驰算法

The multiple knapsack problem denoted by MKP (B,S,rn,n) can be defined as follows. A set B of n items and a set S of rn knapsacks are given such that each item j has a profit pi and weight wj,and each knapsack i has a capacity Ci. The goal is to find a subset of items of maximum profit such that they have a feasible packing in the knapsacks. MKP (B,S,m,n) is strongly NP-Complete and no polynomial time approximation algorithm can have an approximation ratio better than 0.5. In the last ten years,semi-definite programming has been empolyed to solve some combinatorial problems successfully. This paper firstly presents a semi-definite relaxation algorithm (MKPS) for MKP (B,S,rn,n). It is proved that MKPS have a approximation ratio better than 0. 5 for a subclass of MKP (B,S,m,n) with n≤100, m≤5 and max^nj=1{wj}/min^mi=1={Ci}≤2/3.     

非定空间形式Nn+pp(c)中常数量曲率的类空子流形

利用一个类似于CHENG等引进的微分算子的新微分算子□α(α=n+1,…,n+p),得到了非定空间形式Nn+pp(c)中常数量曲率的紧致的类空子流形的一个刚性定理设Mn是非定空间形式Nn+pp(c)(p＞1)中标准数量曲率R为常数的n维(n＞2)紧致的类空子流形,且标准平均曲率向量关于法联络平行,如果=R-1,-1＜≤0且Mn的第2基本形式的模长平方|B|2满足-n≤|B|2≤C(,p,n),这里C(,p,n)为只依赖于,p和n的某一常数,则|B|2=-n且Mn为全脐子流形.我们把CHENG(1977),LI(1996)的结果推广到了非定空间形式中常数量曲率的类空子流形中.由于我们在定理中去掉了"平坦法丛"的条件,所以本文的讨论优于HOU(1998)的讨论.