Let Ω be a set of 24 points with the structure of the (5,8,24) Steiner system, S, defined on it. The automorphism group of S acts on the famous Leech lattice, as does the binary Golay code defined by S. Let A,B ⊂ Ω be subsets of size four (“tetrads”). The structure of S forces each tetrad to define a certain partition of Ω into six tetrads called a sextet. For each tetrad Conway defined a certa...

We investigate the quark spin content of SU(3) baryon octet, decuplet, antitriplet, and sextet in a pion mean-field approach or chiral quark-soliton model, considering $1/{N}_{c}$ rotational corrections symmetry breaking effects. compare present results with those from various theoretical works lattice QCD.

Lifetimes have been measured using time-resolved laser-induced fluorescence for 16 odd levels in the doublet, quartet and sextet systems of Mo II, with energies in the range 48 000– 61 000 cm−1. Absolute transition probabilities and oscillator strengths are determined for 110 UV and visible transitions (208 < λ < 485 nm) from a combination of experimental lifetimes and theoretical branching fra...

The ground states of charmed baryons form an antitriplet and sextet representations of the SU(3) group. The s-wave interaction of the latter with the octet of Goldstone bosons is predicted by the chiral properties of QCD. The Clebsch-Gordon coefficients that describe the relative interaction strength of the various channels reflect the SU(3) multiplet structure of the hadron the Goldstone boson...

We present an efficient method for finding the independent invariant tensors of a gauge theory. Our uses theorem relating and D-flat directions in field space. apply our to several examples-- SO(3) with symmetric tensors, SU(2) dimension 4 representation, SU(3) matter sextet-- find set these theories.