X(3872) and the bound state problem of D{sup 0}D{sup 0}(D{sup 0}D{sup 0}) in a chiral quark model

The bound state problem of D{sup 0}D*{sup 0}(D{sup 0}D*{sup 0}) is relevant to the molecular interpretation of the X(3872). We investigated this problem in a chiral quark model by solving the resonating group method equation. We found the system is unbound through S-wave {pi} and {sigma} interaction...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2009-03, Vol.79 (3)
Main Authors: Liu Yanrui, Zhang Zongye, Theoretical Physics Center for Science Facilities, CAS, Beijing 100049
Format: Article
Language:English
Subjects:
BINDING ENERGY
BOSON-EXCHANGE MODELS
BOUND STATE
CHIRALITY
COUPLING CONSTANTS
EQUATIONS
INTERACTIONS
MESONS
MOLECULES
PARTICLE INTERACTIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PIONS
QUARK MODEL
RESONATING-GROUP METHOD
S WAVES
SIGMA PARTICLES
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Summary:The bound state problem of D{sup 0}D*{sup 0}(D{sup 0}D*{sup 0}) is relevant to the molecular interpretation of the X(3872). We investigated this problem in a chiral quark model by solving the resonating group method equation. We found the system is unbound through S-wave {pi} and {sigma} interactions. The inclusion of {rho} and {omega} meson exchanges is helpful to the formation of a molecule. Because the binding energy relies on the coupling constants, we cannot draw a definite conclusion as to whether a molecular state exists in the D{sup 0}D*{sup 0}(D{sup 0}D*{sup 0}) system. When moving on to the bottom counterpart, we obtained an S-wave BB* state.
ISSN:0556-2813
1089-490X
DOI:10.1103/PHYSREVC.79.035206