THE AHARONOV CASHER SCATTERING: THE EFFECT OF THE del center dot E TERM

Date

2010-06-14

Author

Al-Qaq, E.
Shikakhwa, M. S.

Metadata

Show full item record

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

Item Usage Stats

113
views

0
downloads

In the AharonovCasher (AC) scattering, a neutral particle interacts with an infinitesimally thin, long charge filament resulting in a phase shift. In the original AC treatment, del center dot E term proportional to the charge density at the filaments position is dropped from the Hamiltonian on the basis that the particle is banned from the filament, thus, the resulting Hamiltonian compares with the AharonovBohm Hamiltonian of a scalar particle. Here, we consider AC scattering with this term included. Starting from the three-dimensional nonrelativistic AharonovCasher (AC) Schrodinger equation with the del center dot E term included, we find the wave functions - in particular their singular component - the phase shifts and thus compute the scattering amplitudes and cross-sections. We show that singular solutions in the AC case appear only when the delta function interaction introduced is attractive regardless of the spin orientation of the particle. We find that the inclusion of this term does not introduce a structural difference in the general form of the cross-section even for polarized particles. Its mere effect, is in shifting the parameter N (the greatest integer in alpha) that appears in the cross-section, in the attractive case, by one. Interesting situation appears when N = 0, thus alpha = delta, in the case alpha > 0, and N = -1, so alpha - 1 - delta in the case alpha > 0: At these values of the parameter N, where alpha is just any fraction, the cross-section for a particle polarized in the scattering plane to scatter in a state with the same polarization, is isotropic. It also vanishes, at these values of N, for transitions between same-helicity eigenstates. For these values of the parameter N and at the special values alpha = +/- 1/2, the cross-sections for both signs of alpha coincide. The main differences between this model and the mathematically equivalent spin-1/2 AB theory are outlined.

Subject Keywords

Nuclear and High Energy Physics, Astronomy and Astrophysics

URI

https://hdl.handle.net/11511/65855

Journal

MODERN PHYSICS LETTERS A

DOI

https://doi.org/10.1142/s0217732310032718

Collections

Natural Sciences and Mathematics, Article

Suggestions

OpenMETU
Core

The Lorentz and CPT violating effects on H-o -> f(+)f(-) (ZZ, W+W-) decays Iltan, EO (World Scientific Pub Co Pte Lt, 2004-02-10) We study the Lorentz and CPT violating effects on the ratio BRLorVio/Br-SM where BRLorVio (BRSM) is the branching ratios coming from the Lorentz violating effects (the SM), for the decays H-0 --> f(+)f(-) (f = quarks and charged leptons) and H-0 --> ZZ(W+W-). We observe that these new effects are too small to be detected, especially for f(+)f(-) output, since the corresponding coefficients are highly suppressed at the low energy scale.
THE SCALAR UNPARTICLE EFFECT ON THE CHARGED LEPTON ELECTRIC DIPOLE MOMENT Iltan, E. O. (World Scientific Pub Co Pte Lt, 2009-06-10) We study the charged lepton electric dipole moment which is induced by the scalar unparticle mediation and we predict the appropriate range for the free parameters appearing in the effective Lagrangian which drives the unparticle-standard model lepton interactions. We observe that the charged lepton electric dipole moment is strongly sensitive to the scaling dimension d(u) of the unparticle and the new couplings in the effective interaction. Furthermore, we see that the current experimental limits of charge...
The effect of antisymmetric tensor unparticle mediation on the charged lepton electric dipole moment Iltan, E. O. (IOP Publishing, 2011-10-01) We study the contribution of antisymmetric tensor unparticle mediation to the charged lepton electric dipole moments and restrict the free parameters of the model by using the experimental upper bounds. We observe that the charged lepton electric dipole moments are strongly sensitive to the scaling dimension d(U) and the fundamental scales M(U) and Delta(U). The experimental current limits of electric dipole moments are reached for the small values of the scaling dimension d(U).
Nucleon electromagnetic form factors in QCD Alıyev, Tahmasıb; Özpineci, Altuğ; Savcı, Mustafa (American Physical Society (APS), 2008-06-01) The nucleon electromagnetic form factors are calculated in a light cone QCD sum rules framework using the most general form of the nucleon interpolating current. Using two models for the distribution amplitudes, we predict the form factors. The predictions are also compared with existing experimental data. It is shown that our results describe remarkably well the existing experimental data.
Test of the isospin invariance using polarization effects in slow antiproton annihilation, (p)over-bar+p(n)->P+V Yalcin, C; Rekalo, MP; Koru, H (World Scientific Pub Co Pte Lt, 1997-03-07) The spin structure of the amplitudes for antiproton annihilation at rest, (p) over bar + N --> P + V, P = pi, eta; V = rho, omega, phi, is established. The relation between symmetry properties of strong interaction (isospin invariance and the invariance relative to charge conjugation) and the polarization effects in such reactions are derived. It is demonstrated that the simplest polarization effects in (p) over bar + N --> P + V, namely, the elements of V-meson density matrix, are sensitive to possible vio...

Citation Formats

E. Al-Qaq and M. S. Shikakhwa, “THE AHARONOV CASHER SCATTERING: THE EFFECT OF THE del center dot E TERM,” MODERN PHYSICS LETTERS A, pp. 1531–1540, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65855.