Properties of skyrmions of large baryon number

Kälbermann, G.; Eisenberg, J.M.

doi:10.1088/0305-4616/13/8/010

Cited by 29 publications

(66 citation statements)

References 12 publications

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“…In Sec.VI we present our conclusions and discuss a recent work, Ref. [5], which contains a new solution of the SG equation by using the inverse transform method and find our SG quasimode solution is valid.…”

Section: Introductionmentioning

confidence: 73%

“…Also, Kalbermann in Ref. [5] points out " a probable source of error in the numerical calculations of Quintero et. al.…”

Section: Discussionmentioning

confidence: 99%

“…The numerical calculation he refers to in his Ref. [5] is the same numerical investigation which we labeled the Second Numerical Investigation in Sec.IV of the present paper. His explanation is essentially identical to the explanation we give in Sec.IV of the present paper.…”

Section: Discussionmentioning

confidence: 99%

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Comment on “Existence of internal modes of sine-Gordon kinks”

Willis

2006

Phys. Rev. E

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In Ref. [1] [Phys. Rev. B. 42, 2290Rev. B. 42, (1990] we used a rigorous projection operator collective variable formalism for nonlinear Klein-Gordon equations to prove the continuum Sine-Gordon (SG) equation has a long lived quasimode whose frequency ωs= 1.004 Γ0 is in the continuum just above the lower phonon band edge with a lifetime (1/τs ) = 0.0017 Γ0. We confirmed the analytic calculations by simulations which agreed very closely with the analytic results. In Ref.[3] [Phys. Rev. E. 62, R60 (2000)] the authors performed two numerical investigations which they asserted "show that neither intrinsic internal modes nor quasimodes exist in contrast to previous results." In this paper we prove their first numerical investigation could not possibly observe the quasimode in principle and their second numerical investigation actually demonstrates the existence of the SG quasimode. Our analytic calculations and verifying simulations were performed for a stationary Sine-Gordon soliton fixed at the origin. Yet the authors in Ref.[3] state the explanation of our analytic simulations and confirming simulations are due to the Doppler shift of the phonons emitted by our stationary Sine-Gordon soliton which thus has a zero Doppler shift.

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Section: Introductionmentioning

confidence: 73%

“…Also, Kalbermann in Ref. [5] points out " a probable source of error in the numerical calculations of Quintero et. al.…”

Section: Discussionmentioning

confidence: 99%

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Comment on “Existence of internal modes of sine-Gordon kinks”

Willis

2006

Phys. Rev. E

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“…In [11] a moduli space approximation was proposed which also takes account of the degrees of freedom of the well. See [20] for related work on the λφ 4 kink. In Section 4.2 we described how to apply the moduli space approximation in our case.…”

Section: Resultsmentioning

confidence: 99%

“…Soliton interactions with rectangular wells have also been discussed for various other soliton systems [12,13,14,15,16,17,18]. A kink interacting with a smooth well is discussed in [19] in terms of the sineGordon model and in [20] for the λφ 4 model. While these papers address the dynamics of a kink interacting with a well, multi-kinks interacting with extended wells have so far not been investigated.…”

Section: Introductionmentioning

confidence: 99%

Untitled

Goatham¹,

Mannering²,

Hann³

et al. 2011

Acta Phys. Pol. B

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Sine-Gordon kinks are non-dispersive solutions in a much studied integrable system. Recent studies on sine-Gordon kinks with space-dependent square-well-type potentials have revealed interesting dynamics of a single kink interacting with wells and barriers. In this paper, we study a class of smooth space-dependent potentials and discuss the dynamics of one kink in the presence of different wells. We also present values for the critical velocity for different types of barriers. Furthermore, we study two kinks interacting with various wells and describe interesting trajectories such as double-trapping, kink knock-out and double-escape.

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Collective-Coordinate Analysis of Inhomogeneous Nonlinear Klein–Gordon Field Theory

Saadatmand

Javidan

2013

Braz J Phys

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Two different sets of collective-coordinate equations for solitary solutions of nonlinear Klein-Gordon (NKG) model are introduced. The collective-coordinate equations are derived using different approaches for adding the inhomogeneities as external potentials to the soliton equation of motion. Interaction of the NKG field with a local inhomogeneity like a delta function potential wall as well as a delta function potential well is investigated using the presented collective-coordinate equations and the results of the two different models are compared. Most of the characters of the interaction are derived analytically. Analytical results are also compared to the results of numerical simulations.

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Properties of skyrmions of large baryon number

Cited by 29 publications

References 12 publications

Comment on “Existence of internal modes of sine-Gordon kinks”

Comment on “Existence of internal modes of sine-Gordon kinks”

Untitled

Collective-Coordinate Analysis of Inhomogeneous Nonlinear Klein–Gordon Field Theory

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