Kink dynamics in a parametric Φ⁶ system: a model with controllably many internal modes

Journal Article · 14 December 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP12(2017)071 · OSTI ID:1415382

Demirkaya, A. ^[1]; Decker, R. ^[1]; Kevrekidis, P. G. ^[2]; Christov, I. C. ^[3]; Saxena, Avadh  ^[4]

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1. University of Hartford, West Hartford, CT (United States)
2. Univ. of Massachusetts, Amherst, MA (United States)
3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Purdue Univ., West Lafayette, IN (United States)
4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1415382
• Report Number(s): LA-UR-17-24150; TRN: US1800784
• Journal Information: Journal of High Energy Physics (Online), Vol. 2017, Issue 12; ISSN 1029-8479
• Publisher: Springer BerlinCopyright Statement
• Country of Publication: United States
• Language: English