2012/10/31 by Christian Fitzner, Michael Thies
Mathematics · Physics and Astronomy · #Ansatz #Baryon #Baryon number #Bound state #Breather #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Gross–Neveu model #Limit (mathematics) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.87.025001
25 pages, 14 figures; v2: small corrections, matches published version
openalex publication_date 2013/01/02 · arxiv created 2013/01/31 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The breather is a vibrating multifermion bound state of the massless Gross-Neveu model, originally found by Dashen, Hasslacher, and Neveu in the large N limit. We exhibit the salient features of this state and confirm that it solves the relativistic time-dependent Hartree-Fock equations. We then solve the scattering problem of two breathers with arbitrary internal parameters and velocities, generalizing an ansatz recently developed for the baryon-baryon scattering problem in the same model. The exact analytical solution is given and illustrated with a few examples.