Fermion bound states in geometrically deformed backgrounds

Bazeia, D.; Mohammadi, Azadeh; Moreira, D.C.

doi:10.1088/1674-1137/43/1/013101

Cited by 14 publications

(11 citation statements)

References 35 publications

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“…The impressive progress is achieved in the investigation of domain walls, bubbles, vortices, strings, [69]- [77], as well as the embedded topological defects, e.g., a Qlump on a domain wall, a skyrmion on a domain wall, etc. [78]- [88]. Besides that, we have to mention various configurations of the type of Q-balls [89]- [96].…”

Section: Introductionmentioning

confidence: 99%

Scattering of the double sine-Gordon kinks

et al. 2018

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We study the scattering of kink and antikink of the double sine-Gordon model. There is a critical value of the initial velocity v cr of the colliding kinks, which separates different regimes of the collision. At v in > v cr we observe kinks reflection, while at v in < v cr their interaction is complicated with capture and escape windows. We obtain the dependence of v cr on the parameter of the model. This dependence possesses a series of local maxima, which has not been reported by other authors. At some initial velocities below the critical value we observe a new phenomenon -the escape of two oscillons in the final state. Besides that, at v in < v cr we found the initial kinks' velocities at which the oscillons do not escape, and the final configuration looks like a bound state of two oscillons.

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Section: Introductionmentioning

confidence: 99%

Scattering of the double sine-Gordon kinks

et al. 2018

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“…The system composed of a fermion interacting with background φ 4 kink is analytically solvable and exhibits bound states as well as scattering states [6][7][8]. The properties of fermion-kink systems, such as the fermion energy spectrum and Casimir energy, have been studied for many different models [9][10][11][12][13][14]. In these systems, it is also possible to consider the back-reaction of the fermion on the soliton, which modifies the kink profile, especially for strong coupling constants [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Fermions on wobbling kinks: normal versus quasinormal modes

Campos

Mohammadi

2021

J. High Energ. Phys.

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The system consisting of a fermion in the background of a wobbling kink is studied in this paper. To investigate the impact of the wobbling on the fermion-kink interaction, we employ the time-dependent perturbation theory formalism in quantum mechanics. To do so, we compute the transition probabilities between states given in terms of the Bogoliubov coefficients. We derive Fermi’s golden rule for the model, which allows the transition to the continuum at a constant rate if the fermion-kink coupling constant is smaller than the wobbling frequency. Moreover, we study the system replacing the shape mode with a quasinormal mode. In this case, the transition rate to continuum decays in time due to the leakage of the mode, and the final transition probability decreases sharply for large coupling constants in a way that is analogous to Fermi’s golden rule. Throughout the paper, we compare the perturbative results with numerical simulations and show that they are in good agreement.

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“…The system composed of a fermion interacting with a background φ 4 kink is analytically solvable and exhibits bound states as well as scattering states [6][7][8]. The properties of fermion-kink systems, such as the fermion energy spectrum and Casimir energy, have been studied for many different models [9][10][11][12][13][14]. In these systems, it is also possible to consider the back-reaction of the fermion on the soliton, which modifies the kink profile, especially for strong coupling constants [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Fermions on wobbling kinks: normal versus quasinormal modes

Campos,

Mohammadi

2021

Preprint

View full text Add to dashboard Cite

The system consisting of a fermion in the background of a wobbling kink is studied in this paper. To investigate the impact of the wobbling on the fermion-kink interaction, we employ the time-dependent perturbation theory formalism in quantum mechanics. To do so, we compute the transition probabilities between states given in terms of the Bogoliubov coefficients. We derive Fermi's golden rule for the model, which allows the transition to the continuum at a constant rate if the fermion-kink coupling constant is smaller than the wobbling frequency. Moreover, we study the system replacing the shape mode with a quasinormal mode. In this case, the transition rate to continuum decays in time due to the leakage of the mode, and the final transition probability decreases sharply for large coupling constants in a way that is analogous to Fermi's golden rule. Throughout the paper, we compare the perturbative results with numerical simulations and show that they are in good agreement.

show abstract

Fermion bound states in geometrically deformed backgrounds

Cited by 14 publications

References 35 publications

Scattering of the double sine-Gordon kinks

Scattering of the double sine-Gordon kinks

Fermions on wobbling kinks: normal versus quasinormal modes

Fermions on wobbling kinks: normal versus quasinormal modes

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