Sum Rules for the Form Factors of the Pseudoscalar Hadron Densities

Satoshi Matsuda
1966 Progress of theoretical physics  
Sum rules for the form factors of the pseudoscalar hadron densities in the high energy limit are derived on the basis of their current commutation relations. It is shown that, according to these sum rules, the form factors of the pseudoscalar hadron densities at high energy become of pure f-type in the limit of SU(3) symmetry, while it is also shown that a d-type contribution results from the effects of various symmetry breaking interactions at low energy. *> In the quark model g~i(x) =iq(x)r 5
more » ... el g~i(x) =iq(x)r 5 0.dv2 )q(x) and CVi, 4(x) =q(x)r40;//2 )q(x). **> If we put Gi±= (l/2v'2) (Vi, 4 ±Pi), then we obtain the SU(3) X SU (3) algebra: [Gi±,G 1 ±] =ifiJic G~c±, [Gi±· G/t=]=O. ***l The commutation relations postulated here are exactly satisfied for a particular form of the current in terms of quark fields.
doi:10.1143/ptp.35.858 fatcat:dqpyxzyrurc5degfwmq5qtkp7u