Bethe-Salpeter few-quark dynamics and the pion degree of freedom

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

DOI:https://doi.org/10.1103/PhysRevD.29.1408· OSTI ID:7000786

Mittal, A; Mitra, A N

The pionic interaction of baryon (qqq) states is formulated in a Bethe-Salpeter (BS) model of harmonic confinement, characterized by a universal spring constant (omega-tilde = 0.15 GeV) and the quark mass (m/sub q/ = 0.28 GeV) concerned, on lines similar to those developed recently for pionic couplings of meson (qq-bar) states, wherein the pionic degree of freedom is governed by the same BS dynamics as for other qq-bar states, and not introduced by hand as an independent entity. The algebraic structures of the matrix elements for NN..pi.. and ..delta..N..pi.. couplings are strongly reminiscent of the quark-pair-creation model, as found recently for meson couplings (rho..pi pi.., ..omega..rho..pi..). A Lorentz-invariant adaptation of the resulting pion-baryon form factors, on lines identical to those employed successfully to the meson couplings, leads to the parameter-free predictions (4..pi..)/sup -1/(G/sub NNpi/)/sup 2/ = 13.02 and GAMMA(..delta -->..N..pi..) = 104.6 MeV, both within 10% of experiment. It is stressed that these pionic results are consistent with the one-pion-exchange-potential structure.

• Research Organization: Department of Physics, University of Delhi, Delhi 110007, India
• OSTI ID: 7000786
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
BETHE-SALPETER EQUATION
BOSON-EXCHANGE MODELS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESONS
OBE MODEL
OPE MODEL
PAIR PRODUCTION
PARTICLE INTERACTIONS
PARTICLE MODELS
PCAC THEORY
PERIPHERAL MODELS
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUARK MODEL
QUARKS