Current conservation and interaction currents with relativistic separable interactions

Journal Article · Sat Jun 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.2483· OSTI ID:5664102

Ito, H; Buck, W W ^[1]; Gross, F ^[2]

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1. Department of Physics, Hampton University, Hampton, Virginia 23668 (USA)
2. Physics Department, College of William and Mary, Williamsburg, Virginia 23185 (USA) Continuous Electron Beam Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606 (USA)

A method of minimal substitution is used to obtain the electromagnetic two-body interaction current operator associated with a relativistic separable interaction. The result is shown to satisfy a general restriction obtained from current conservation using the Ward-Takahashi identity within the Bethe-Salpeter formalism. It is shown that this two-body relativistic current operator can be reduced to an effective one-body form. Applications of this method to nuclear few-body systems, relativistic quark systems, and hadronic resonance processes are discussed. The numerical size of the interaction current for the pion charge form factor is estimated.

• DOE Contract Number: FG05-88ER40435
• OSTI ID: 5664102
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

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Moments
Spin
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRAIC CURRENTS
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
COMPOSITE MODELS
CONSERVATION LAWS
CURRENTS
ELECTROMAGNETIC FORM FACTORS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EXCHANGE INTERACTIONS
FERMIONS
FORM FACTORS
GAUGE INVARIANCE
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
PIONS
PSEUDOSCALAR MESONS
QUARK MODEL
RELATIVISTIC RANGE
TWO-BODY PROBLEM
WARD IDENTITY