Relativistic bound states of fermions and antifermions

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1985

OSTI ID:5553865

Ayres, V M

A theory of hadron formation is presented, in which all observed hadrons are assumed to be relativistic bound states of fermions and antifermions. The studies undertaken are carried out totally within the framework of relativistic quantum field theory. The strong Hamiltonian is expressed as the sum of H/sub bound/ and H/sub decay/, where the eigenstates of H/sub bound/ are the observed hadrons and H/sub decay/ is responsible for their strong decay. H/sub bound/ and H/sub decay/ are derived by means of a canonical transformation, which amounts to partially eliminating gluons in the underlying theory, in which underlying fermions are interacting universally with a neutral vector gluon and also a neutral axial-vector gluon, both of which are assumed to be quite heavy. The underlying theory is compatible with the Weinberg theory of weak and electromagnetic interactions. The eigenstates of the bound state Hamiltonian H/sub bound/ are determined, using the covariant Bethe-Salpeter formalism. The masses of all the nonsinglet S- and P-wave mesons, including B and T mesons, are evaluated. The mass of the ..sigma.. and Xi baryons are evaluated, and the absence of the ..delta.. and Zeta baryons is explained. The relativistic two- and three-body bound-state wave functions for the bound state of a fermion and an antifermion, and for the bound state of two fermions and an antifermion, respectively, are determined. The radiative decay rates of various mesons, and the magnetic moments of ..sigma.. and Xi hyperons are evaluated, and compared with experiment.

• Research Organization: Purdue Univ., Lafayette, IN (USA)
• OSTI ID: 5553865
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
COMPOSITE MODELS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
HAMILTONIANS
HYPERONS
MAGNETIC MOMENTS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SIGMA BARYONS
SIGMA PARTICLES
STRANGE PARTICLES
WAVE FUNCTIONS
XI BARYONS
XI PARTICLES