Non-leptonic decay of hyperons with Baryon-weak Hamiltonian commutation relations

Abstract

The amplitude for the nonleptonic decay of hyperons is expressed in terms of an absorptive part and an equal-time commutator of the baryon field with the weak Hamiltonian. The assumption that the parity-conserving and parity-violating parts of the weak Hamiltonian transform like scalar (S₆) and pseudoscalar (S₇⁵) quantities, respectively, enables us to evaluate the commutator. The absorptive parts are calculated under the assumption that they are dominated by single-particle states. The assumption that S₇⁵ and the strong pseudoscalar vertex belong to the same octet when combined with the experimental observation that A(∑ ₊⁺)=0 enables the calculation of d/f for this octet. The value obtained is √3, which is in excellent agreement with the value obtained from leptonic decays. The results for ρ waves are not so definite, but indicate a dominant d-type coupling.