Sum rules for weak NN. pi. amplitudes and theoretical descriptions of nonleptonic hyperon decays

Journal Article · Sun Oct 01 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.2522· OSTI ID:6647264

Guberina, B; Tadic, D

The sum rule based on current algebra predicts the p ..-->.. n + ..pi../sup +/ amplitude to be A (p/sup +//sub +/) = -..cap alpha..3.02 x 10/sup -7/ (h = c = 1). The weak-interaction-model--dependent parameter ..cap alpha.. can have the same value ..cap alpha.. = tan theta/sub C/..sqrt..2 for the Weinberg-Salam as for the Cabibbo model if the observed vertical-bar..delta..Ivertical-bar = 12, vertical-bar..delta..Svertical-bar = 1 enhancement is explained by using PCAC (partially conserved axial-vector current). When the Melosh transformation is used with the soft-pion and infinite-momentum techniques, a very small amplitude A (p/sup +//sub +/) = -..cap alpha..3.02 x 10/sup -9/ is found. A simple description of SU(3) -symmetry breaking, reproducing the observed nonleptonic decay amplitudes again, predicts A (p/sup +//sub +/) = -..cap alpha..3.04 x 10/sup -8/. Useful insights may be gained from ..delta..I = 1 parity-violating experiments, such as ..gamma.. asymmetry in the n + p ..-->.. d + ..gamma.. reaction.

• Research Organization: ''Rudjer Boskovic'' Institute
• OSTI ID: 6647264
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON-BARYON INTERACTIONS
BARYONS
BASIC INTERACTIONS
CURRENT ALGEBRA
DECAY
ELEMENTARY PARTICLES
EMISSION
EQUATIONS
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
HAMILTONIANS
HYPERONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MELOSH TRANSFORMATION
NUCLEON-NUCLEON INTERACTIONS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE MODELS
PCAC THEORY
PHOTON EMISSION
PROTON-NEUTRON INTERACTIONS
PROTON-NUCLEON INTERACTIONS
QUANTUM OPERATORS
STRANGE PARTICLES
SU GROUPS
SU-3 GROUPS
SU-6 GROUPS
SUM RULES
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
WEAK INTERACTIONS
WEINBERG-SALAM GAUGE MODEL