Pionic decays and saturation of current-algebra sum rules in a nonrelativistic expansion of the quark shell model

Journal Article · Thu Apr 01 00:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.1921· OSTI ID:5506064

Gavela, M B; Le Yaouanc, A; Oliver, L; Pene, O; Raynal, J C

Pionic decays of hadrons are calculated using a PCAC (partial conservation of axial-vector current) prescription and a quark shell model with quarks bound by a central potential, described by the Dirac equation. The Dirac Hamiltonian and operators are expanded in v/c, the internal quark velocity. Then, one finds an exact saturation of the current-algebra sum rules as defined in the SU(2)xSU(2) symmetry of Gilman-Harari and Weinberg up to order v/sup 4//c/sup 4/. The saturation is obtained without need of exotics, with the usual excitations of the ground state. The relation with the P = infinity approach is clarified. The corrections found with respect to previous quark models in L = 2 decays are discussed. They do not solve the problem of SU(6)/sub W/ coupling signs. Finally, the whole Weinberg scheme of linear SU(2)xSU(2) symmetry is completed by the expression of the chiral-breaking part of the mass operator m/sub 4//sup ts2/.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, 91120 Palaiseau, France
• OSTI ID: 5506064
• Journal Information: Phys. Rev. D; (United States), Vol. 25:7
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HADRONS
PARTICLE DECAY
QUARK MODEL
SUM RULES
BOUND STATE
CHIRAL SYMMETRY
CURRENT ALGEBRA
DIRAC EQUATION
HAMILTONIANS
PARTICLE PRODUCTION
PCAC THEORY
PIONS
SHELL MODELS
SU-2 GROUPS
SYMMETRY BREAKING
BOSONS
COMPOSITE MODELS
DECAY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUANTUM OPERATORS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory