Radiative decays and the SU(6) Lie algebra

We present research on radiative decays of vector (JPC = 1--) to pseudoscalar (JPC = 0-+) particles (u, d, s, c, b, t quark system) using broken symmetry techniques in the infinite-momentum frame and equal-time commutation relations and the SU(6) Lie algebra, and conducted without ascribing any specific form to meson quark structure or intra-quark interactions. We utilize the physical electromagnetic current jemμ(0) including its singlet U(1) term and focus on the SU(6) 35-plet. We derive new relations involving the electromagnetic current (including its singlet — proportional to the SU(6) singlet). Remarkably, we find that the electromagnetic current singlet plays an intrinsic role in understanding the physics of radiative decays and that the charged and neutral ρ meson radiative decays into πγ are due entirely to the singlet term in jemμ(0). Although there is insufficient radiative decay experimental data available at this time, parametrization of possible predicted values of Γ(D∗0 → D0γ) is made. For conciseness and self-containment, we compute all SU(6) Lie algebra simple roots, positive roots, weights and fundamental weights which allow the construction of all SU(6) representations. We also derive all nonzero SU(6) generator commutators and anticommutators — useful for further research on grand unified theories.