Scattering of kinks of the sinh-deformed $\varphi ^4$ model

Bazeia, Dionisio; Belendryasova, Ekaterina; Gani, Vakhid A.

doi:10.1140/epjc/s10052-018-5815-z

Scattering of kinks of the sinh-deformed $\varphi ^4$ model

Dionisio Bazeia
(
- Paraiba U.
)
,
Ekaterina Belendryasova
(
- Moscow Phys. Eng. Inst.
)
,
Vakhid A. Gani
(
- Moscow Phys. Eng. Inst. and
- Moscow, ITEP
)

Oct 13, 2017

23 pages

Published in:

Eur.Phys.J.C 78 (2018) 4, 340

Published: Apr 26, 2018

e-Print:

1710.04993 [hep-th]

DOI:

10.1140/epjc/s10052-018-5815-z

View in:

ADS Abstract Service

reference search76 citations

Citations per year

Abstract: (Springer)

We consider the scattering of kinks of the sinh-deformed

\varphi ^4

model, which is obtained from the well-known

\varphi ^4

model by means of the deformation procedure. Depending on the initial velocity

v_\mathrm {in}

of the colliding kinks, different collision scenarios are realized. There is a critical value

v_\mathrm {cr}

of the initial velocity, which separates the regime of reflection (at

v_\mathrm {in}>v_\mathrm {cr}

) and that of a complicated interaction (at

v_\mathrm {in}<v_\mathrm {cr}

) with kinks’ capture and escape windows. Besides that, at

v_\mathrm {in}

below

v_\mathrm {cr}

we observe the formation of a bound state of two oscillons, as well as their escape at some values of

v_\mathrm {in}

.

Note:

23 pages, 12 figures; v2: minor changes to match version published in EPJ C

kink: scattering
bound state: formation
velocity
oscillon
deformation
reflection
capture

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Scattering of kinks of the sinh-deformed φ4\varphi ^4φ4 model

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Scattering of kinks of the sinh-deformed $\varphi ^4$ model