Effective potential for local composite operators and the problem of factorization of multi-field condensates

A new formulation of effective potential for local composite operators is given. The two-fermion condensate \(\langle \bar \Psi \Psi \rangle \) and four-fermion condensate \(\langle \bar \Psi \Psi \bar \Psi \Psi \rangle \) are calculated simultaneously in the Gross-Neveu model up to next-to-the-leading order in 1/N expansion. It is shown that factorization \(\langle \bar \Psi \Psi \bar \Psi \Psi \rangle = C_1 \langle \bar \Psi \Psi \rangle ^2 \) holds only in theN→∞ limit and the non-factorized part of \(\langle \bar \Psi \Psi \bar \Psi \Psi \rangle \) contributed by the order-1/N terms is comparable to \(C_1 \langle \bar \Psi \Psi \rangle ^2 \) when takingN=3.     

Exponential approximations in the classes of life distributions

In this paper we discuss the approximation of life distributions by exponential ones. The main results are: (1) F NBUE, where its mean is 1, we have , 0, where = 1 - ₂/2, ₂ being the second moment ofF. The inequality is sharp. (2) In the case ofFIFR, the upper bound is . (3) For the HNBUE class, the upper bound is min . Furthermore, the improved upper bound is . In addition, we show 0} |\bar G(t) - e^{ - t} | \leqslant \sqrt {\frac{\rho }{2}} $$ " align="middle" border="0"> , where (4) For the IMRL class, the upper bound is /(1+) ([1]). Here we give a simple proof.Project supported by the National Natural Science Fund of China.     

Determination of the partial electron capture- and spontaneous-fission half-lives of254No

The isotope²⁵⁴No was produced in the fusion reaction⁴⁸Ca +²⁰⁸Pb. Using the velocity filter SHIP and radiochemical techniques it was found that the nuclide²⁵⁴No with a half-life of 55 s decays byα, EC, and spontaneous-fission. Deduced partial half-lives are (61±2) s forα-decay, (550 _?160 ⁺³⁷⁰ ) s for EC and [2.2 _?1.0 ^+2.0 ]×10⁴ s for spontaneous fission.     

由肉桂酸生物合成L-苯丙氨酸

本文评述了Ｌ－苯丙氮酸的各种合成路线、国内外的研究现状及工业化情况，重点讨论了由肉桂酸和氨生物合成Ｌ－苯丙氨酸的路线，提出了在国内进一步工作的建议。     

聚合物电致发光材料研究进展

本文较详细地综述了聚合物电致发光材料的研究进展，重点介绍了聚对苯撑乙烯（ＰＰＶ），并提出了有关聚合物电致发光材料及器件构造研究的一些观点。     

X—射线荧光分析中薄膜试样的面积和厚度对分析结果的影响

本文就薄膜法制样、用X-射线荧光谱法分析稀土样品时,试样面积和厚度对分析结果产生的影响作了定量研究,提出的有关分析条件和参数用于实际样品分析中,获得了满意的分析结果。     

钕对番茄叶挥发性物质诱导效应的研究

以Nd3+诱导番茄叶,测定其对番茄叶挥发性物质组成和含量的影响。结果表明,番茄叶经60 mg.L-1Nd3+诱导120 h后,挥发性物质的总含量较对照组的增加57%;氧合脂类、萜类化合物、芳香族化合物的含量分别较对照组的提高73%,38%和32%。含量最高组分(E)-2-己烯醛较对照组的提高74%。含量显著性提高的组分还包括萜类化合物的β-水芹烯和α-石竹烯,芳香族化合物的丁子香酚,分别较对照组的提高129%,65%和309%。不同浓度的Nd3+均可促进挥发性物质的释放,且随诱导时间呈不同的变化趋势。一定浓度的Nd3+还可诱导番茄叶活性氧的释放以及几丁质酶和-β1,3-葡聚糖酶活力的提高。说明Nd3+可能通过提高番茄叶挥发性物质的含量,以增强其抗病能力。