Abstract
The scattering of two Dashen-Hasslacher-Neveu baryons in the large Gross-Neveu model is solved exactly using the relativistic, time-dependent Hartree-Fock approach. Unlike the special case of kink-antikink scattering, the scattering of Dashen-Hasslacher-Neveu baryons is sensitive to the backreaction of the fermions bound inside the baryons. Correspondingly the solution is much more complicated than the kink-antikink scattering solutions, which can be expressed in terms of sinh-Gordon solitons. Nevertheless, we present a simple ansatz form that gives closed analytic expressions for both the space–time-dependent mean fields and the Dirac spinors for all continuum and bound states. The solution can also be applied to the scattering of polarons and solitons in conducting polymers.
- Received 19 September 2011
DOI:https://doi.org/10.1103/PhysRevD.84.105014
© 2011 American Physical Society
Synopsis
When Two Baryons Scatter
Published 10 November 2011
The time-dependent solution of one of the most basic models in field theory has applications from nuclear to condensed-matter physics.
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