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14-18 May 2018
Jefferson Lab - CEBAF Center
US/Eastern timezone

Constrained Degrees of Freedom of Fermion in Light-Front Dynamics

17 May 2018, 16:10
20m
F113 (Jefferson Lab - CEBAF Center)

F113

Jefferson Lab - CEBAF Center

Speaker

Ms Bailing Ma (North Carolina State University)

Description

The fermion degrees of freedom in light-front dynamics (LFD) carry the unique constraint component distinguished from the ordinary equal-time fermion degrees of freedom. The constraint component of the fermion degrees of freedom in LFD results in the instantaneous contribution to the fermion propagator distinguished from the ordinary equal-time forward and backward propagation of relativistic fermion degrees of freedom. The helicity of the on-mass-shell fermion spinors in LFD is also distinguished from the ordinary Jacob-Wick helicity in the instant form dynamics (IFD) with respect to whether the helicity depends on the reference frame or not. To exemplify these distinguished features of the fermion degrees of freedom in LFD, we have computed the annihilation process of the fermion and anti-fermion pair interpolating the fermion degrees of freedom between the IFD and the LFD. In this talk, we present the helicity amplitudes of the pair production of two scalar particles in the electron and positron annihilation process. We present the whole landscape of the helicity amplitudes between the IFD and the LFD with respect to the scattering angle and center-of-momentum in the annihilation/production process. Our analysis clarifies any conceivable confusion in the prevailing notion of the equivalence between the IFD at infinite momentum frame (IMF) and the LFD.

Primary author

Ms Bailing Ma (North Carolina State University)

Co-author

Chueng R. Ji (North Carolina State University)

Presentation Materials