Study of open-charm $0^+$ states in unitarized chiral effective theory with one-loop potentials - INSPIRE

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Study of open-charm $0^+$ states in unitarized chiral effective theory with one-loop potentials

Meng-Lin Du
(
- Bonn U., HISKP and
- Bonn U.
)
,
Feng-Kun Guo
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS
)
,
Ulf-G. Meißner
(
- Bonn U., HISKP and
- Bonn U. and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)
,
De-Liang Yao
(
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum and
- Valencia U., IFIC
)

Mar 31, 2017

25 pages

Published in:

Eur.Phys.J.C 77 (2017) 11, 728

Published: Nov 1, 2017

e-Print:

1703.10836 [hep-ph]

DOI:

10.1140/epjc/s10052-017-5287-6

View in:

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Abstract: (Springer)

Chiral potentials are derived for the interactions between Goldstone bosons and pseudo-scalar charmed mesons up to next-to-next-to-leading order in a covariant chiral effective field theory with explicit vector charmed-meson degrees of freedom. Using the extended-on-mass-shell scheme, we demonstrate that the ultraviolet divergences and the so-called power counting breaking terms can be properly absorbed by the low-energy constants of the chiral Lagrangians. We calculate the scattering lengths by unitarizing the one-loop potentials and fit them to the data extracted from lattice QCD. The obtained results are compared to the ones without an explicit contribution of vector charmed mesons given previously. It is found that the difference is negligible for S-wave scattering in the threshold region. This validates the use of

D^*

-less one-loop potentials in the study of the pertinent scattering lengths. We search for dynamically generated open-charm states with

J^P=0^+

as poles of the S-matrix on various Riemann sheets. The trajectories of those poles for varying pion masses are presented as well.

Note:

25 pages, 6 figures and 5 tables

effective field theory: chiral
effective Lagrangian: chiral
potential: chiral
charmed meson
meson meson: interaction
lattice field theory
Goldstone particle
pseudoscalar meson
higher-order: 2
scattering length

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