https://doi.org/10.1140/epjc/s10052-012-2129-4
Regular Article - Theoretical Physics
Baryon tri-local interpolating fields
School of Physics and Nuclear Energy Engineering, Beihang University, Beijing, 100191, China
* e-mail: hxchen@buaa.edu.cn
Received:
25
May
2012
Revised:
4
July
2012
Published online:
28
August
2012
We systematically investigate tri-local (non-local) three-quark baryon fields with U
L
(2)×U
R
(2) chiral symmetry, according to their Lorentz and isospin (flavor) group representations. We note that they can also be called “nucleon wave functions” due to this full non-locality. We study their chiral transformation properties and find all the possible chiral multiplets consisting of 
and 
baryon fields. We find that the axial coupling constant 
is only for nucleon fields belonging to the chiral representation 
, which contains both nucleon and Δ fields. Moreover, all the nucleon fields belonging to this representation have .
© Springer-Verlag / Società Italiana di Fisica, 2012
