2017/06/30 by A. Demirkaya, Aslihan Demirkaya, Robert Decker +6 · 50 citations
Mathematics · Physics and Astronomy · #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Critical point (mathematics) #Curvature #Function (biology) #Geometry #Linearization #Mathematical analysis #Mathematics #Monotonic function #Nonlinear Photonic Systems #Nonlinear system #Parametric statistics #Phenomenology (philosophy) #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Statistical physics #hep-th #nlin.PS
paper · pdf · doi:10.1007/jhep12(2017)071
published in Journal of High Energy Physics 2017(12) (Springer Nature) · 23 pages, 11 figures, jheppub class; v2 minor revisions
openalex created_date 2017/06/15 · openalex publication_date 2017/12/01 · arxiv created 2017/12/18 · arxiv updated 2017/12/19 · openalex updated_date 2026/08/05
We explore a variant of the ϕ6 model originally proposed in Phys. Rev. D 12 (1975) 1606 as a prototypical, so-called, “bag” model in which domain walls play the role of quarks within hadrons. We examine the steady state of the model, namely an apparent bound state of two kink structures. We explore its linearization, and we find that, as a function of a parameter controlling the curvature of the potential, an effectively arbitrary number of internal modes may arise in the point spectrum of the linearization about the domain wall profile. We explore some of the key characteristics of kink-antikink collisions, such as the critical velocity and the multi-bounce windows, and how they depend on the principal parameter of the model. We find that the critical velocity exhibits a non-monotonic dependence on the parameter controlling the curvature of the potential. For the multi-bounce windows, we find that their range and complexity decrease as the relevant parameter decreases (and as the number of internal modes in the model increases). We use a modified collective coordinates method [in the spirit of recent works such as Phys. Rev. D 94 (2016) 085008] in order to capture the relevant phenomenology in a semi-analytical manner.