Supersymmetric dual string theory: (III). Loops and renormalization

The mixing of 0^?+ glueballs (G) and ordinary ¯qq mesons is calculated in the MIT bag model. The result is that the η and η′ have probabilities 7% and 19%, respectively, of being pure glue-glue state. This has implications for the η-η′ mass difference, and allows a quantitative estimate of the widths for G(0^?+)→γγ and γp, which may help distinguish a glueball from ¯qq mesons.     

Large-scale preparation of the Δ10 form of staphylokinase by in vitro processing of recombinant staphylokinase with purified human plasminogen

The authors have developed a rapid and convenient method for purification of a low molecular weight form (Δ10) of the bacterial plasminogen activator, staphylokinase. Recombinant staphylokinase is expressed inEscherichia coli, with an amino terminal extension that facilitated purification by immobilized metal-affinity chromatography. Purified staphylokinase is treated with human plasminogen, and the resulting truncated form is purified using a combination of immobilized metal affinity chromatography and hydrophobic interaction chromatography. Purified protein is characterized by amino terminal sequencing and in vitro plasminogen activation assay.     

Linear differential systems with infinitely many boundary points

Summary The article extends results previously known for boundary value problems involving only a finite number of boundary points to those which involve an infinite number of (possibly dense) boundary points. Specifically, the system , is discussed in the Hilbert space L²(0, 1). Suitable conditions for inverting the operator L are found, and the Green's function is exhibited. It is shown to have the standard properties as well as some which are new, when considered as a function of its second variable It is further shown to be the limit a.e. of Green's function for problems involving only a finite number of boundary points, as those points increase in number. Finally it is shown that L⁻¹ is compact. By using the Green's function the domain of L is shown to be dense in L²(0, 1). and the adjoint L* and its domain are found. L is also shown to be closed. Lastly, by using some theorems concerning entire functions, the eigenvalues of L are shown to lie in a vertical strip with infinity as their only limit point. This in turn implies that if L⁻¹ fails to exist, a slight perturbation in P will result in an invertible L, and the assumption made earlier concerning the existence of the Green's function is reasonable. Entrata in Redazione il 25 febbraio 1971.     

Phase stability in the LnCa2Mn2O7 (Ln=Pr, Nd, Sm and Gd) Ruddlesden-Popper series

The synthesis of the Ruddlesden-Popper series, LnCa₂Mn₂O₇, (Ln=Pr, Nd, Sm and Gd) is described and their structure and electronic properties investigated. The reduction in size of the A-site cation causes an increase in the distortion of their orthorhombic structures (space group Cmcm). All of these compounds form with a perovskite impurity, the amount of which increases on reduction of the cation size. The synthesis temperature also alters the amount of perovskite impurity in the phase, but only to a lower limit, implying the perovskite phase is intrinsic to the material and that a phase equilibrium exists between the layered Ruddlesden-Popper and perovskite phases, which is controlled by the cation size. The magnetic susceptibility show transitions characteristic of the perovskite phase, therefore little direct information can be obtained about the Ruddlesden-Popper phases, except that ferromagnetism is not observed in any of these materials.     

Vibration relaxation of hydrogen-bonded species in solution. IV. Temperature and concentration dependence of the νa (OHN) band of phenol-pyridine

The ν_a band of the phenol-pyridine complex (in CCl₄ solution) has been studied as a function of varying acid and base concentrations. It is shown that the ν_a(XHY) band width decreases with decreasing temperature and with increasingly polar environment. These data are consistent with the assumption of band-broadening mechanisms due to a distribution of hydrogen bond energies and geometries in solution. The distribution breadth decreases as the temperature is lowered or as the concentration of excess base increases (band narrowing occurs under these circumstances) but increases (causing band broadening) when the phenol concentration increases, possibly due to an increase in the proportion of multimetric (as compared with 1 : 1) complexes.