X(3872) and Other Possible Heavy Molecular States

2008/08/18 by Xiang Liu, Zhi-Gang Luo, Yan-Rui Liu +1 · 2 citations
Physics and Astronomy · #hep-ph #hep-ex #nucl-th

paper · pdf · doi:10.1140/epjc/s10052-009-1020-4

published as Eur.Phys.J.C61:411-428,2009 · 21 pages, 17 tables, 11 figures. Typos corrected

arxiv created 2008/08/18 · arxiv updated 2009/12/01

Abstract

We perform a systematic study of the possible molecular states composed of a pair of heavy mesons such as D D, D^∗ D, D^∗ D^∗ in the framework of the meson exchange model. The exchanged mesons include the pseudoscalar, scalar and vector mesons. Through our investigation, we find that (1) the structure X(3764) is not a molecular state; (2) There exists strong attraction in the range r < 1 fm for the D^* D^* system with J=0, 1. If future experiments confirm Z⁺(4051) as a loosely bound molecular state, its quantum number is probably J^P=0⁺. Its partner state Φ^**0 may be searched for in the π⁰χ_c1 channel; (3) The vector meson exchange provides strong attraction in the D^∗ D channel together with the pion exchange. A bound state solution exists with a reasonable cutoff parameter Λ∼ 1.4 GeV. X(3872) may be accommodated as a molecular state dynamically although drawing a very definite conclusion needs further investigation; (4) The B^∗ B molecular state exists.

Cited by

• Y(4143) is probably a molecular partner of Y(3930)
• Possible Bound States in the D^∗ D^∗/B^∗ B^∗ and D^∗ D^∗/ B^∗ B^∗ Systems within the Bethe-Salpeter Formalism

Related

• Is X(3872) really a molecular state?
• X(3872) as a molecular DD* state in a potential model
• Study on X(3872) from effective field theory with pion exchange interaction
• Long-distance structure of the X(3872)
• Deriving the existence ofBB¯*bound states from theX(3872)and heavy quark symmetry