https://doi.org/10.1140/epjc/s10052-016-4377-1
Regular Article - Theoretical Physics
Isospin violating decays of positive parity
mesons in HM
PT
1
Department of Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia
2
J. Stefan Institute, Jamova 39, P. O. Box 3000, 1001, Ljubljana, Slovenia
3
Faculty of Civil Engineering, Transportation Engineering and Architecture, University of Maribor, Smetanova ulica 17, 2000, Maribor, Slovenia
* e-mail: anita.prapotnik@um.si
Received:
23
June
2016
Accepted:
15
September
2016
Published online:
30
September
2016
Recent lattice QCD results suggest that the masses of the first two positive parity mesons lie below the BK threshold, similar to the case of
and
mesons. The mass spectrum of
mesons seems to follow the pattern of a
mass spectrum. As in the case of charmed mesons, the structure of positive parity
mesons is very intriguing. To shed more light on this issue, we investigate the strong isospin violating decays
,
, and
within heavy meson chiral perturbation theory. The two-body decay amplitude arises at tree level and we show that the loop corrections give significant contributions. On the other hand, in the case of three-body decay
the amplitude occurs only at loop level. We find that the decay widths for these decays are
keV, and
keV,
keV. More precise knowledge of the coupling constant describing the interaction of positive and negative parity heavy mesons with light pseudo-scalar mesons would help to increase the accuracy of our calculation.
© The Author(s), 2016