Relativistic two-body bound state

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

DOI:https://doi.org/10.1103/PhysRevD.18.258· OSTI ID:6737103

Higashijima, K; Sugawara, M

We agrue that the relativistic bound state of a fermion and an antifermion can be studied based upon an effective Hamiltonian which consists of only four fermion fields and is invariant and local in space and time. This four-fermion interaction has to be invariant under the interchange of two fermion fields which are the same. As a consequence, this effective interaction correlates various bound states which have different spin and orbital configurations, and also belong to different isospin or unitary multiplets. It also determines the bound states of two fermions. This correlation among all these bound states turns out to be quite stringent. Thus, if the effective interaction is SU(3) invariant and required to yield ..pi.. and rho as bound states, it necessarily implies a bound state which does not seem to exist at all, if the underlying fermions are assumed to be the usual quarks with or without color. We manage to maintain consistency with experiment if these fermions are assumed to be the usual octet of baryons, primarily because there are two kinds of octet available in this case. The mass difference between ..pi.. and rho is easy to explain in this study as a relativistic kinematical effect.

• Research Organization: Department of Physics, Purdue University, West Lafayette, Indiana 47907
• OSTI ID: 6737103
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:1; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COMPOSITE MODELS
COUPLING CONSTANTS
EIGENSTATES
ENERGY RANGE
FERMIONS
HAMILTONIANS
ISOSPIN
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS
QUARK MODEL
RELATIVISTIC RANGE
SPACE-TIME
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TWO-BODY PROBLEM