3,467 research outputs found
4-{[2-(2,4-DinitroÂphenÂyl)hydrazinylÂidene]methÂyl}phenol ethanol hemisolvate
In the title compound, C13H10N4O5·0.5C2H5OH, the two benzene rings form a dihedral angle of 4.29 (9)°. The ethanol solvent molÂecule was treated as disordered between two orientations related by symmetry (center of inversion), with occupancies fixed at 0.5. The crystal packing, stabilized by interÂmolecular O—H⋯O and N—H⋯O hydrogen bonds and π–π interÂactions [indicated by the short distance of 3.7299 (7) Å between the centroids of benzene rings from neighbouring molÂecules], exhibits short interÂmolecular O⋯O contacts of 2.8226 (3) Å
Vector and Spinor Decomposition of SU(2) Gauge Potential, their quivalence and Knot Structure in SU(2) Chern-Simons Theory
In this paper, spinor and vector decomposition of SU(2) gauge potential are
presented and their equivalence is constructed using a simply proposal. We also
obtain the action of Faddeev nonlinear O(3) sigma model from the SU(2) massive
gauge field theory which is proposed according to the gauge invariant
principle. At last, the knot structure in SU(2) Chern-Simons filed theory is
discussed in terms of the --mapping topological current theory. The
topological charge of the knot is characterized by the Hopf indices and the
Brouwer degrees of -mapping.Comment: 10 pages, ni figur
Inner topological structure of Hopf invariant
In light of -mapping topological current theory, the inner topological
structure of Hopf invariant is investigated. It is revealed that Hopf invariant
is just the winding number of Gauss mapping. According to the inner structure
of topological current, a precise expression for Hopf invariant is also
presented. It is the total sum of all the self-linking and all the linking
numbers of the knot family.Comment: 13pages, no figure. Accepted by J.Math.Phy
Dirac-boson stars
In this paper, we construct \textit{Dirac-boson stars} (DBSs) model composed
of a scalar field and two Dirac fields. The scalar field and both Dirac fields
are in the ground state. We consider the solution families of the DBSs for the
synchronized frequency and the nonsynchronized frequency
cases, respectively. We find several different solutions
when the Dirac mass and scalar field frequency
are taken in some particular ranges. In contrast, no similar
case has been found in previous studies of multistate boson stars. Moreover, we
discuss the characteristics of each type of solution family of the DBSs and
present the relationship between the ADM mass of the DBSs and the
synchronized frequency or the nonsynchronized frequency
. Finally, we calculate the binding energy of the DBSs
and investigate the relationship of with the synchronized frequency
or the nonsynchronized frequency .Comment: 26 pages, 12 figure
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