Nature of the D0* meson in Dπ scattering with chiral symmetry

Takumi Sugiura (Department of Physics, Kyoto University, Kyoto 606-8502, Japan) ; Tetsuo Hyodo (Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan)

We study the nature of the scalar D0* meson from the viewpoint of chiral symmetry. With the linear representation of chiral symmetry, we construct the Dπ scattering amplitude satisfying the chiral low-energy theorem, in which the D0* meson appears as an s-wave resonance. We show that the properties of the D0* meson can be successfully reproduced as the chiral partner of the D meson coupled with the Dπ scattering states. At the same time, we find that the spectral function and the pole position of D0* are not very sensitive to the reduction of the chiral condensate, indicating the importance of the dressing of the bare state by the Dπ molecular component.

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      "title": "Nature of the <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson in <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> scattering with chiral symmetry"
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      "source": "APS", 
      "value": "We study the nature of the scalar <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson from the viewpoint of chiral symmetry. With the linear representation of chiral symmetry, we construct the <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> scattering amplitude satisfying the chiral low-energy theorem, in which the <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson appears as an <math><mi>s</mi></math>-wave resonance. We show that the properties of the <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> meson can be successfully reproduced as the chiral partner of the <math><mi>D</mi></math> meson coupled with the <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> scattering states. At the same time, we find that the spectral function and the pole position of <math><msubsup><mi>D</mi><mrow><mn>0</mn></mrow><mo>*</mo></msubsup></math> are not very sensitive to the reduction of the chiral condensate, indicating the importance of the dressing of the bare state by the <math><mrow><mi>D</mi><mi>\u03c0</mi></mrow></math> molecular component."
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Published on:
11 June 2019
Publisher:
APS
Published in:
Physical Review C , Volume 99 (2019)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevC.99.065201
arXiv:
1904.00589
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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