DD∗ potentials in chiral effective field theory and possible molecular states

The DD∗ potentials are studied within the framework of heavy meson chiral effective field theory. We obtain the effective potentials of the DD∗ system up to O(ε2) at the one-loop level. In addition to the one-pion exchange contribution, the contact and two-pion exchange interactions are also investi...

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Bibliographic Details
Published in:Physical review. D 2019-01, Vol.99 (1), p.014027
Main Authors: Xu, Hao, Wang, Bo, Liu, Zhan-Wei, Liu, Xiang
Format: Article
Language:English
Subjects:
Contact potentials
Exchanging
Field theory
Schrodinger equation
Online Access:Get full text
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Summary:The DD∗ potentials are studied within the framework of heavy meson chiral effective field theory. We obtain the effective potentials of the DD∗ system up to O(ε2) at the one-loop level. In addition to the one-pion exchange contribution, the contact and two-pion exchange interactions are also investigated in detail. Furthermore, we search for the possible molecular states by solving the Schrödinger equation with the potentials. We notice that the contact and two-pion exchange potentials are numerically non-negligible and important for the existence of a bound state. In our results, no bound state is found in the I = 0 channel within a wide range of the cutoff parameter, while there exists a bound state in the I = 1 channel as the cutoff is near mρ in our approach.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.99.014027