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X(3872) and the bound state problem of D-0(D)over-bar(0)((D)over-bar(0)D(0)) in a chiral quark model

PHYSICAL REVIEW C (2009)

Journal

PHYSICAL REVIEW C

Volume 79, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC

DOI: 10.1103/PhysRevC.79.035206

Keywords

-

Categories

Physics, Nuclear

Funding

National Natural Science Foundation of China [10775146, 10805048]
China Postdoctoral Science foundation [20070420526]
K. C. Wong Education Foundation, Hong Kong.

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Abstract

The bound state problem of D-0(D) over bar*(0)((D) over bar D-0*(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-0(D) over bar*(0)((D) over bar D-0*(0)) system. When moving on to the bottom counterpart, we obtained an S-wave B (B) over bar* state.

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