Soliton-antisoliton annihilation in 1+1 dimensions: Time-dependent Hartree approach

Journal Article · Fri Apr 15 00:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2257· OSTI ID:5096844

Golli, B; Weise, W

The nonlinear dynamics of soliton-antisoliton annihilation in 1+1 dimensions is studied in the mean-field approximation. Self-consistent equations of motion for the time-dependent Hartree state are derived from the variational principle, and the relationship to the classical equation of motion is shown. The method is applied to kink-antikink annihilation in phi/sup 4/ theory. It is found that a long-lived oscillatory state is formed after the collision. This is explained in terms of quasibound states of the mean-field potential, which decay through nonlinear terms in the interaction, producing narrow peaks in the spectrum of the emitted meson radiation.

• Research Organization: Faculty of Natural Sciences and Technology and J. Stefan Institute, E. Kardelj University, Ljubljana, Yugoslavia
• OSTI ID: 5096844
• Journal Information: Phys. Rev. D; (United States), Vol. 37:8
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PHI4-FIELD THEORY
SOLITONS
ANNIHILATION
ANTIPARTICLES
BOUND STATE
CLASSICAL MECHANICS
EQUATIONS OF MOTION
MEAN-FIELD THEORY
MESONS
PARTICLE INTERACTIONS
S MATRIX
SELF-CONSISTENT FIELD
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
ANTIMATTER
BASIC INTERACTIONS
BOSONS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
HADRONS
INTERACTIONS
MATRICES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
QUASI PARTICLES
645400* - High Energy Physics- Field Theory