Yf. Smirnov et A. Sharma, Spin-mass content of the Bhabha particle and the group chain SU(4)supersetof Sp(4)superset of SU(2)xU(1), J MATH PHYS, 40(8), 1999, pp. 3881-3894
The relativistic particles described by the Bhabha equation (Bhabha particl
es) can possess several values of masses (M-tau = n/2 tau) and spins s less
than or equal to n/2. In order to find the spin-mass content of such parti
cles corresponding to the general irrep [n(1)n(2)] of the group Sp(4)simila
r to O(5) which is the symmetry group of the Bhabha equation, the noncanoni
cal chain of groups Sp(4)superset of SUs(2) x U-tau(1) is considered. In th
is paper, we construct the basis of the irrep [n(1)n(2)] in a boson realiza
tion form using the method of elementary permissible diagrams. This is achi
eved by the introduction of special "symplectic" bosons. The maximum and mi
nimum values of spin s are established for each value of tau. The multiplic
ity of degenerate pairs (s,t) can be easily calculated with the help of the
generating function obtained in this paper. (C) 1999 American Institute of
Physics. [S0022-2488(99)01908-8].