Fermion scattering on topological solitons in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>model

Loginov, A.

doi:10.1103/physrevd.107.065011

Phys. Rev. D

2023

DOI: 10.1103/physrevd.107.065011

|View full text |Cite

Fermion scattering on topological solitons in theCPN−1model

A. Loginov

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Spectral flow of fermions in the ℂP2 (anti-)instanton, and the sphaleron with vanishing topological charge

Amari,

Sawado,

Yamamoto

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

The spectral flow is ubiquitous in the physics of soliton-fermion interacting systems. We study the spectral flows related to a continuous deformation of background soliton solutions, which enable us to develop insight into the emergence of fermionic zero modes and the localization mechanism of fermion densities. We investigate a ℂP2 nonlinear sigma model in which there are the (anti-) instantons and also the sphalerons with vanishing topological charge. The standard Yukawa coupling of the fermion successfully generates infinite towers of the spectra and the spectral flow is observed when increasing the size of such solitons. At that moment, the localization of the fermions on the solitons emerges. The avoided crossings are also observed in several stages of the exchange of the flows, they are indicating a manifestation of the fermion exchange of the localizing nature.

show abstract

Spectral flow of fermions in the ℂP2 (anti-)instanton, and the sphaleron with vanishing topological charge

Amari,

Sawado,

Yamamoto

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

Asymptotic states for kink–meson scattering

Evslin

2023

Eur. Phys. J. C

View full text Add to dashboard Cite

The definition of a quantum state corresponding to a wave packet far from a global soliton is considered. We define an asymptotic quantum state corresponding to a localized wave packet of elementary quanta far from a kink. We demand that the state satisfies two properties. First, it must evolve in time via a rigid translation of the wave packet, up to the usual wave packet spreading and corrections which are exponentially suppressed in the distance to the kink. Second, the state must be invariant under a simultaneous translation of the kink and the wave packet. We explicitly construct the leading quantum corrections to an asymptotic state consisting of a meson approaching a kink. We expect this construction to readily generalize to elementary quanta in the presence of any global soliton.

show abstract

Fermion-soliton scattering in a modified $$\mathbb{C}\mathbb{P}^{1}$$ model

Loginov

2024

Eur. Phys. J. C

View full text Add to dashboard Cite

The scattering of fermions in the background field of a topological soliton of the modified $$(2 + 1)$$ ( 2 + 1 ) -dimensional $$\mathbb{C}\mathbb{P}^{1}$$ C P 1 model is studied here both analytically and numerically. Unlike the original $$\mathbb{C}\mathbb{P}^{1}$$ C P 1 model, the Lagrangian of the modified model contains a potential term. Due to this, a dilatation zero mode of the topological soliton disappears, which results in stability of the fermion-soliton system. The symmetry properties of the fermion-soliton system are established, and the asymptotic forms of fermionic radial wave functions are studied. Questions related to the bound states of the fermion-soliton system are then discussed. General formulae describing the scattering of fermions are presented. The amplitudes of the fermion-soliton scattering are obtained in an analytical form within the framework of the Born approximation, and their symmetry properties and asymptotic forms are studied. The energy levels of the fermionic bound states and the partial phase shifts of fermionic scattering are obtained by numerical methods, and the ultrarelativistic limits of the partial phase shifts are found.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Fermion scattering on topological solitons in theCPN−1model

Cited by 3 publications

References 30 publications

Spectral flow of fermions in the ℂP2 (anti-)instanton, and the sphaleron with vanishing topological charge

Spectral flow of fermions in the ℂP2 (anti-)instanton, and the sphaleron with vanishing topological charge

Asymptotic states for kink–meson scattering

Fermion-soliton scattering in a modified $$\mathbb{C}\mathbb{P}^{1}$$ model

Contact Info

Product

Resources

About