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The column "representation" indicates under which representations of the gauge groups that each field transforms, in the order (SU(3), SU(2), U(1)) and for the U(1) group, the value of the weak hypercharge is listed. There are twice as many left-handed lepton field components as right-handed lepton field components in each generation, but an ...
The interplay or matching of the precise matrix element calculation and the approximations resulting from the simulation of the parton shower gives rise to further complications, either within a given level of precision like at leading order (LO) for the production of n jets or between two levels of precision when tempting to connect matrix ...
Constructive solid geometry (CSG; formerly called computational binary solid geometry) is a technique used in solid modeling. Constructive solid geometry allows a modeler to create a complex surface or object by using Boolean operators to combine simpler objects, [ 1 ] potentially generating visually complex objects by combining a few primitive ...
The remaining two half-lines in the two X s can be linked to each other in two ways, so that the total number of ways to form the diagram is 4 × 3 × 4 × 3 × 2 × 2, while the denominator is 4! × 4! × 2!. The total symmetry factor is 2, and the contribution of this diagram is divided by 2.
Particle size is a notion introduced for comparing dimensions of solid particles , liquid particles , or gaseous particles . The notion of particle size applies to particles in colloids , in ecology , in granular material (whether airborne or not), and to particles that form a granular material (see also grain size ).
corresponding to the length of the edge of the cube with the per-particle volume /. The two definitions differ by a factor of approximately , so one has to exercise care if an article fails to define the parameter exactly. On the other hand, it is often used in qualitative statements where such a numeric factor is either irrelevant or plays an ...
ezSpectra [5] [6] Free C++ Interfaces with Q-Chem and other packages Franck-Condon factors, photoionization cross-sections, photoelectron angular distributions, magnetic properties Libwfa [7] Free C++ Interfaces with Q-Chem and MOLCAS: Natural orbitals, natural transition orbitals, exciton descriptor, density difference, and others
The particle-based nature of SPH makes it ideal to combine with a particle-based gravity solver, for instance tree gravity code, [70] particle mesh, or particle-particle particle-mesh. Solid mechanics and fluid-structure interaction (FSI)