Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-09-15
Int.J.Mod.Phys.A26:2307-2326,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 6 figures, more detailed comparison with \pi N PWA
Scientific paper
10.1142/S0217751X11053389
We consider a loop mixing of two fermion fields of opposite parities whereas the parity is conserved in a Lagrangian. Such kind of mixing is specific for fermions and has no analogy in boson case. Possible applications of this effect may be related with physics of baryon resonances. The obtained matrix propagator defines a pair of unitary partial amplitudes which describe the production of resonances of spin $J$ and different parity ${1/2}^{\pm}$ or ${3/2}^{\pm}$. The use of our amplitudes for joint description of $\pi N$ partial waves $P_{13}$ and $D_{13}$ shows that the discussed effect is clearly seen in these partial waves as the specific form of interference between resonance and background. Another interesting application of this effect may be a pair of partial waves $S_{11}$ and $P_{11}$ where the picture is more complicated due to presence of several resonance states.
Kaloshin A. E.
Kobeleva E. A.
Lomov V. P.
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