Second order formalism for spin 1/2 fermions and Compton scattering - INSPIRE

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Second order formalism for spin 1/2 fermions and Compton scattering

E.G. Delgado-Acosta
(
- Guanajuato U.
)
,
Mauro Napsuciale
(
- Guanajuato U.
)
,
Simon Rodriguez
(
- Coahuila Autonoma U.
)

Dec, 2010

11 pages

Published in:

Phys.Rev.D 83 (2011) 073001

e-Print:

1012.4130 [hep-ph]

DOI:

10.1103/PhysRevD.83.073001

View in:

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Abstract: (arXiv)

We develop a second order formalism for spin 1/2 fermions based on the projection over Poincar\'{e} invariant subspaces in the

(1/2,0)\oplus(0,1/2)

representation of the homogeneous Lorentz group. Using

U(1)_{em}

gauge principle we obtain second order description for the electromagnetic interactions of a spin 1/2 fermion with two free parameters, the gyromagnetic factor

g

and a parameter

\xi

related to odd-parity Lorentz structures. We calculate Compton scattering in this formalism. In the particular case

g=2, \xi=0

and for states with well defined parity we recover Dirac results. In general, we find the correct classical limit and a finite value

r_{c}^{2}

for the forward differential cross section, independent of the photon energy and of the value of the parameters

g

and

\xi

. The differential cross section vanishes at high energies for all

g, \xi

except in the forward direction. The total cross section at high energies vanishes only for

g=2, \xi=0

. We argue that this formalism is more convenient than Dirac theory in the description of low energy electromagnetic properties of baryons and illustrate the point with the proton case.

13.40.Em
12.20.Ds
13.60.Fz
14.20.Dh
spin: 1/2
photon: energy
group: Lorentz
approximation: classical
differential cross section
photon p: Compton scattering

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Figures(6)

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