Mass formulae and strange quark matter

We have derived the popularly used parametrization formulae for quark masses at low densities and modified them at high densities within the mass-density-dependent model. The results are applied to investigate the lowest density for the possible existence of strange quark matter at zero temperature.Comment: 9 pages, LATeX with ELSART style, one table, no figures. Improvement on the derivation of qark mass formula

Antimagnetic Rotation Band in Nuclei: A Microscopic Description

Covariant density functional theory and the tilted axis cranking method are used to investigate antimagnetic rotation (AMR) in nuclei for the first time in a fully self-consistent and microscopic way. The experimental spectrum as well as the B(E2) values of the recently observed AMR band in 105Cd are reproduced very well. This gives a further strong hint that AMR is realized in specific bands in nuclei.Comment: 10 pages, 4 figure

Strong laws of large numbers for sub-linear expectations

We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed (IID) random variables for sub-linear expectations initiated by Peng. It turns out that these theorems are natural and fairly neat extensions of the classical Kolmogorov's strong law of large numbers to the case where probability measures are no longer additive. An important feature of these strong laws of large numbers is to provide a frequentist perspective on capacities.Comment: 10 page

Chiral Condensates in Quark and nuclear Matter

We present a novel treatment for calculating the in-medium quark condensates. The advantage of this approach is that one does not need to make further assumptions on the derivatives of model parameters with respect to the quark current mass. The normally accepted model-independent result in nuclear matter is naturally reproduced. The change of the quark condensate induced by interactions depends on the incompressibility of nuclear matter. When it is greater than 260 MeV, the density at which the condensate vanishes is higher than that from the linear extrapolation. For the chiral condensate in quark matter, a similar model-independent linear behavior is found at lower densities, which means that the decreasing speed of the condensate in quark matter is merely half of that in nuclear matter if the pion-nucleon sigma commutator is six times the average current mass of u and d quarks. The modification due to QCD-like interactions is found to slow the decreasing speed of the condensate, compared with the linear extrapolation.Comment: 12 pages, 7 figures, revtex4 styl

Effect of Corynoline Isolated from Corydalis bungeana Turcz on Lipopolysaccharides-Induced Sepsis In vivo and In vitro

Purpose: To investigate the protective effect of corynoline isolated from Corydalis bungeana Turcz on lipopolysaccharides (LPS)-induced sepsis, and determine the possible mechanism of anti-sepsis effect of the isolated corynoline.Methods: Corynoline was extracted by column chromatography. LPS (100 ng/mL) was used to induce the release of TNF-α and IL-6 in RAW 264.7 cells, and the isolated corynoline was added. ELISA method was used to determine the levels of TNF-α and IL- 6. Furthermore, sepsis in mice was established by injection of LPS (2 mg/kg, i.v.), and the levels of TNF- α and IL-6 in plasma were determined by ELISA method. For survival rate test, LPS (15 mg/kg, i.v.) and heat-killed E. coli (1.0 ~1011 CFU/kg, i.v.) were used to establish sepsis in mice model, and the mice were observed in 7 days.Results: The results indicate that corynoline significantly elevated the survival rate of septic mice induced by LPS and heat-killed E. coli, in a dose-dependent manner (p < 0.05). Corynoline decreased the release of TNF-α and IL-6 induced by LPS, in a dose-dependent manner (p < 0.05).Conclusion: Treatment with corynoline significantly inhibits the mortality of LPS-induced septic mice, and the mechanism of action is probably related to the decrease of TNF-α and IL-6 release. Thus corynoline has the potential to be developed as an effective and safe drug for treating sepsis.Keywords: Corynoline, Corydalis bungeana, Sepsis, Lipopolysaccharides, TNF-α, IL-

An Invariance Principle of G-Brownian Motion for the Law of the Iterated Logarithm under G-expectation

The classical law of the iterated logarithm (LIL for short)as fundamental limit theorems in probability theory play an important role in the development of probability theory and its applications. Strassen (1964) extended LIL to large classes of functional random variables, it is well known as the invariance principle for LIL which provide an extremely powerful tool in probability and statistical inference. But recently many phenomena show that the linearity of probability is a limit for applications, for example in finance, statistics. As while a nonlinear expectation--- G-expectation has attracted extensive attentions of mathematicians and economists, more and more people began to study the nature of the G-expectation space. A natural question is: Can the classical invariance principle for LIL be generalized under G-expectation space? This paper gives a positive answer. We present the invariance principle of G-Brownian motion for the law of the iterated logarithm under G-expectation