Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons - INSPIRE

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Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons

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

Oct 10, 2016

16 pages

Published in:

Phys.Rev.D 94 (2016) 9, 094037

Published: Nov 28, 2016

e-Print:

1610.02963 [hep-ph]

DOI:

10.1103/PhysRevD.94.094037

View in:

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Abstract: (APS)

We investigate the numerical values of the low-energy constants in the chiral effective Lagrangian for the interactions between the charmed mesons and the lightest pseudoscalar mesons, the Goldstone bosons of the spontaneous breaking of chiral symmetry for QCD. This problem is tackled from two sides: estimates using the resonance-exchange model and positivity constraints from the general properties of the S-matrix including analyticity, crossing symmetry, and unitarity. These estimates and constraints are compared with the values determined from fits to lattice data of the scattering lengths. Tensions are found, and possible reasons are discussed. We conclude that more data from lattice calculations and experiments are necessary to fix these constants better. As a byproduct, we also estimate the coupling constant gDDa2, with a2 the light tensor meson, via the QCD sum rule approach.

Note:

26 pages, 5 figures, 4 tables

effective Lagrangian: chiral
spontaneous symmetry breaking: chiral
energy: low
quantum chromodynamics: sum rule
symmetry: crossing
model: exchange
charmed meson
lattice field theory
S-matrix: analytic properties
Goldstone particle

References(68)

Figures(5)

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