New approach to nonleptonic weak interactions. III. Application to hyperon nonleptonic decays

Journal Article · Wed Feb 01 04:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.466· OSTI ID:5210594

Terasaki, K; Oneda, S

A new approach to hyperon nonleptonic weak interactions is discussed. It is based on (i) the derived asymptotic constraints on the two-body ground-state-baryon matrix elements of the weak nonleptonic Hamiltonian which satisfy the Vertical Bar..delta..IVertical Bar = 1/2 rule and its SU(3) counterpart and (ii) the new soft-pion approximation in the infinite-momentum frame of parent particle. In the new extrapolation, a part of the so-called surface term survives in addition to the usual equal-time-commutator term. The result based on the first approximation which keeps only the ground-state-baryon contribution to the surface term is presented. It is shown that the Lee-Sugawara sum rules are satisfied reasonably well for both the S and P waves. Improvement of the approximation should be possible with less ambiguity than the usual approach, by including the contribution of the L = 1 baryon states to the surface term. Nowhere is the concept of exact SU(3) symmetry used.

• Research Organization: Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima-ken, 725, Japan and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742
• OSTI ID: 5210594
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BARYONS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
HADRONS
HAMILTONIANS
HYPERONS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
PARTICLE DECAY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
STRANGE PARTICLES
SU GROUPS
SU-3 GROUPS
SUM RULES
SYMMETRY GROUPS
TWO-BODY PROBLEM
WEAK HADRONIC DECAY
WEAK PARTICLE DECAY