Abstract
We study the nature of the scalar D_0 meson from the viewpoint of chiral symmetry. With the linear representation of chiral symmetry, we construct the D pi scattering amplitude satisfying the chiral low-energy theorem, in which the D_0 meson appears as an s-wave resonance. We show that the properties of the D_0 meson can be successfully reproduced as the chiral partner of the D meson coupled with the D pi scattering states. At the same time, we find that the spectral function and the pole position of D_0 are not very sensitive to the reduction of the chiral condensate, indicating the importance of the dressing of the bare state by the D pi molecular component.
Highlights
There have been a lot of newly observed hadrons [1] thanks to the recent developments of high-energy experiments
We utilize the linear representation of chiral symmetry to incorporate the chiral partner structure, and describe the D0∗ meson as a resonance in the scattering amplitude through the nonperturbative resummation
To include the chiral partner structure of charmed mesons, we employ the effective Lagrangian based on the linear representation of chiral symmetry [10,11,12,13]
Summary
There have been a lot of newly observed hadrons [1] thanks to the recent developments of high-energy experiments. The heavy-light mesons provide a unique playground where two distinct symmetries in QCD interplay with each other These symmetries are important to study of the property change of the charmed mesons in nuclear matter [8]. The aim of this paper is to combine two pictures of the D0∗ state, the chiral partner of D and the hadronic molecule. To this end, we utilize the linear representation of chiral symmetry to incorporate the chiral partner structure, and describe the D0∗ meson as a resonance in the scattering amplitude through the nonperturbative resummation. The last section is devoted to a summary of this work
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