Kink dynamics in a parametric Φ ^{6} system: a model with controllably many internal modes
We explore a variant of the Φ ^{6} model originally proposed in Phys. Rev.D 12 (1975) 1606 as a prototypical, socalled, “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 kinkantikink collisions, such as the critical velocity and the multibounce windows, and how they depend on the principal parameter of the model. We find that the critical velocity exhibits a nonmonotonic dependence on the parameter controlling the curvature of the potential. For the multibounce 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 semianalytical manner.
 Authors:

^{[1]};
^{[1]};
^{[2]};
^{[3]};
^{[4]}
 University of Hartford, West Hartford, CT (United States)
 Univ. of Massachusetts, Amherst, MA (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Purdue Univ., West Lafayette, IN (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1724150
Journal ID: ISSN 10298479; TRN: US1800784
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Mathematics
 OSTI Identifier:
 1415382
Demirkaya, A., Decker, R., Kevrekidis, P. G., Christov, I. C., and Saxena, Avadh. Kink dynamics in a parametric Φ6 system: a model with controllably many internal modes. United States: N. p.,
Web. doi:10.1007/JHEP12(2017)071.
Demirkaya, A., Decker, R., Kevrekidis, P. G., Christov, I. C., & Saxena, Avadh. Kink dynamics in a parametric Φ6 system: a model with controllably many internal modes. United States. doi:10.1007/JHEP12(2017)071.
Demirkaya, A., Decker, R., Kevrekidis, P. G., Christov, I. C., and Saxena, Avadh. 2017.
"Kink dynamics in a parametric Φ6 system: a model with controllably many internal modes". United States.
doi:10.1007/JHEP12(2017)071. https://www.osti.gov/servlets/purl/1415382.
@article{osti_1415382,
title = {Kink dynamics in a parametric Φ6 system: a model with controllably many internal modes},
author = {Demirkaya, A. and Decker, R. and Kevrekidis, P. G. and Christov, I. C. and Saxena, Avadh},
abstractNote = {We explore a variant of the Φ6 model originally proposed in Phys. Rev.D 12 (1975) 1606 as a prototypical, socalled, “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 kinkantikink collisions, such as the critical velocity and the multibounce windows, and how they depend on the principal parameter of the model. We find that the critical velocity exhibits a nonmonotonic dependence on the parameter controlling the curvature of the potential. For the multibounce 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 semianalytical manner.},
doi = {10.1007/JHEP12(2017)071},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2017,
place = {United States},
year = {2017},
month = {12}
}