All weight‐2 zeros of the Wigner 3j coefficients may be obtained from the quadratic Diophantine equation known as Pell’s equation. These zeros may then be classified by the orbits of a discrete, infinite‐order subgroup of the Lorentz group SO(1,1). This is carried out by transforming the ‘‘polynomial part’’ of a weight‐2 3j coefficient to Pellian form and obtaining the fundamental zeros numerically. The relation of this polynomial to a family of binary quadratic forms is also given, together with a discussion of the invariance group.
Topics
Particle symmetry
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1987
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