Nonleptonic weak decay and the Melosh transformation

Journal Article · Mon Dec 01 04:00:00 EST 1975 · Phys. Rev., D, v. 12, no. 11, pp. 3711-3729

DOI:https://doi.org/10.1103/PhysRevD.12.3711· OSTI ID:4074886

Machacek, M; Tomozawa, Y

The PCAC (partially conserved axial-vector current) hypothesis and the Melosh transformation are used with the soft-pion and infinite-momentum techniques to obtain expressions for the nonleptonic weak decay of amplitudes of the SU(6)/sub W/ 56, L = 0 baryons. The following results are obtained: (1) Modified Lee--Sugawara relations are exact for both the parity-violating and parity-conserving amplitudes. (2) Two additional sum rules involving $Omega$$sup -$ decay amplitudes are derived. (3) If the parity-violating part of the weak decay Hamiltonian transforms only as an SU(6)/sub W/ 35, then A($Sigma$$sup +$/ sub +/) = 0 automatically. (4) Terms arising from the Melosh transformation are necessary to bring the decay width for $Omega$$sup -$ $Yields$ $Xi$$pi$ into agreement with experiment. (5) All known amplitudes are fitted to within 10%. (AIP)

• Research Organization: Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48104
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021416
• OSTI ID: 4074886
• Journal Information: Phys. Rev., D, v. 12, no. 11, pp. 3711-3729, Journal Name: Phys. Rev., D, v. 12, no. 11, pp. 3711-3729; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*BARYONS-- DECAY
*OMEGA-MINUS-- DECAY
*SU-6 GROUPS-- DECAY AMPLITUDES
641103*
MELOSH TRANSFORMATION
N64230* --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--Weak
N64320 --Physics (High Energy)--Particle Invariance Principles & Symmetry--Applications (Electromagnetic & Weak)
P INVARIANCE
PCAC THEORY
PIONS
SUM RULES
WEAK INTERACTIONS
XI PARTICLES