Electromagnetic form factors in noncommutative space time

Electric and magnetic moment distributions are presenting by form factors (FF)s. Noncommutative space-time (NCST) includes an additional Lorentz index which are effecting on FFs. In this content we investigate electron-proton elastic scattering to impose the noncommutative effect on FFs and to obtain their physical meaning. Two Rosenbluth and polarization methods are utilized in NCST. The second method is not affected by NCST. When we resort to polarization method, the ratio of electric form factor to magnetic form factor in NCST is identical to the one in normal space time. This indicates the priority of polarization method to measure experimentally the concerned ratio as is expecting. On the other hand, the pure NC effect makes to appear an extra ratio, denoted by R-NC. If we let the variation of this quantity to cover the difference between the experimental results for Resonbluth and polarization ratio then the accepted lower limit of Lambda(NC) as NC scale is achieved which is corresponding to 180 degrees for the scattering angle.

Automated summary

This paper investigates the effect of noncommutative spacetime on electron-proton elastic scattering and explores the physical meaning of form factors. The results show that using the polarization method in noncommutative spacetime can yield the same ratio of electric form factor to magnetic form factor as in normal spacetime, confirming the superiority of the polarization method in experimental measurements. Additionally, the pure noncommutative effect leads to the appearance of an extra ratio.