Aharonov-Bohm scattering in Chern-Simons theory of scalar particles

Date

1996-03-15

Author

Boz, M
Fainberg, V
Pak, Namık Kemal

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

111
views

0
downloads

The S-matrix operator for relativistic theory of charged scalar particles interacting via Chern-Simons field is constructed and is shown to be formally the same as the S-matrix in relativistic scalar quantum electrodynamics in which the Feynman diagrams with external photon lines are not considered and the propagators of the Chern-Simons particles are substituted in place of the ones for photons. All the one-loop Feynman diagrams for relativistic scattering amplitude of two charged particles are calculated. Due to the renormalizability of the theory only two diagrams have linear divergence, which are regularized. The nonrelativistic limit of the scattering amplitude is also finite, unlike the non-relativistic Chern-Simons scattering theory. It is found that for a certain value of the contact interaction, corresponding to the repulsive case, the scattering amplitude coincides with that of Aharonov-Bohm scattering, in the same approximation. (C) 1996 Academic Press, Inc.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/62815

Journal

ANNALS OF PHYSICS

DOI

https://doi.org/10.1006/aphy.1996.0030

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces Shikakhwa, M. S.; Chair, N. (IOP Publishing, 2017-01-01) We construct the Hermitian Schrodinger Hamiltonian of spin-less particles and the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field, which are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved...
Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation Farout, Mahmoud; Sever, Ramazan; Ikhdair, Sameer M. (IOP Publishing, 2020-06-01) We obtain the quantized momentum eigenvalues P-n together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
Theoretical determination of K-1(1270,1400) mixing angle in QCD Dag, Huseyin; Özpineci, Altuğ; Cagil, Ayce; ERKOL, GÜRAY (2011-08-25) In quark model, the strange axial vector mesons K1(1270) and K1(1400) are defined as the mixtures of orbital angular momentum states K1A and K1B. In this work, by using the orthogonality of the mass eigenstates, we have estimated the K1(1270, 1400) mixing angle θK1, where we have found that θK1 sime −(39 ± 4)°.
Singular potentials and moving boundaries in 3D Yuce, C (Elsevier BV, 2004-02-16) In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.
Evidence for Collective Multiparticle Correlations in p-Pb Collisions Khachatryan, V.; et. al. (American Physical Society (APS), 2015-06-01) The second-order azimuthal anisotropy Fourier harmonics, nu(2), are obtained in p-Pb and PbPb collisions over a wide pseudorapidity (.) range based on correlations among six or more charged particles. The p-Pb data, corresponding to an integrated luminosity of 35 nb(-1), were collected during the 2013 LHC p-Pb run at a nucleon-nucleon center-of-mass energy of 5.02 TeV by the CMS experiment. A sample of semiperipheral PbPb collision data at root S-NN = 2.76 TeV, corresponding to an integrated luminosity of 2...

Citation Formats

M. Boz, V. Fainberg, and N. K. Pak, “Aharonov-Bohm scattering in Chern-Simons theory of scalar particles,” ANNALS OF PHYSICS, pp. 347–368, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62815.