Relation between equal-time and light-front wave functions

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.035201· OSTI ID:21386708

Miller, Gerald A; Tiburzi, Brian C ^[1]

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1. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)

The relation between equal-time and light-front wave functions is studied using models for which the four-dimensional solution of the Bethe-Salpeter wave function can be obtained. The popular prescription of defining the longitudinal momentum fraction using the instant-form free kinetic energy and third component of momentum is found to be incorrect except in the nonrelativistic limit. One may obtain light-front wave functions from rest-frame, instant-form wave functions by boosting the latter wave functions to the infinite momentum frame. Despite this difficulty, we prove a relation between certain integrals of the equal-time and light-front wave functions.

• OSTI ID: 21386708
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevC.81.035201; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETHE-SALPETER EQUATION
FOUR-DIMENSIONAL CALCULATIONS
KINETIC ENERGY
LONGITUDINAL MOMENTUM
MATHEMATICAL SOLUTIONS
SIMULATION
WAVE FUNCTIONS
ENERGY
EQUATIONS
FUNCTIONS
LINEAR MOMENTUM