Abstract
A classification of particles is suggested based on a
Ũ
(12) symmetry scheme. This is a relativistic generalization of the
U
(6) symmetry. The spin
1
2
and
3
2
baryons are each described by 20-component spinors which satisfy Bargmann-Wigner equations and belong to the 3̲6̲4̲ representation of the
Ũ
(12) group while the vector and p. s. mesons belong to the representation 1̲4̲3̲. The procedure for writing fully relativistic form factors is worked out in detail for baryon-meson and meson-meson cases. The new results are the following: (1)
F
C
(
q
2
)
F
M
(
q
2
)
∝
1
+
q
2
<
2
μ
>
m
, Where
F
c
and
F
M
are (Sachs) electromagnetic form factors. (2)
μ
D
= 1 + 2
m
/<
μ
>, where <
μ
> is the mean mass of the 1
-
multiplet and
m
the nucleon mass. (3)
μ
ρ,K*
= 3. The conventional
U
(6) results can be recovered by projecting to the positive energy subspace in the rest system for each particle. To any irreducible representation of the
U
(6) there corresponds one irreducible representation of
Ũ
(12) and vice versa.
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