a₀(980) as a companion pole of a₀(1450)

2015/10/17 by Thomas Wolkanowski, Wolkanowski, Thomas, Francesco Giacosa +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1510.05148

8 pages, 1 figure, prepared for proceedings of "The 8th International Workshop on Chiral Dynamics", Pisa, Italy, June 31 - July 3, 2015

arxiv created 2016/01/28 · arxiv updated 2016/01/29

Abstract

Light scalar hadrons are often understood as dynamically generated resonances. These arise as `companion poles' in the propagators of qq seed states when accounting for meson-loop contributions to the self-energies of the latter. Following this idea, we demonstrate that for the scalar--isovector state a₀(1450) the full one-loop propagator has two poles: a pole of the seed state a₀(1450) and a companion pole corresponding to a₀(980). The positions of these poles are studied by varying the relative coupling strength between the non-derivative and derivative parts of the interactions.

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