Nature of the ${D}_{0}^{*}$ meson in $D\ensuremath{\pi}$ scattering with chiral symmetry

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Nature of the $D_{0}^{*}$ meson in $D π$ scattering with chiral symmetry

Takumi Sugiura and Tetsuo Hyodo

Phys. Rev. C 99, 065201 – Published 11 June 2019

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 $D π$ 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 $D π$ 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 $D π$ molecular component.

Received 10 April 2019

DOI:https://doi.org/10.1103/PhysRevC.99.065201

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society