46,283 research outputs found
Isospin breaking, coupled-channel effects, and X(3872)
We re-investigate the possibility of X(3872) as a molecule with
within the framework of both the one-pion-exchange (OPE) model
and the one-boson-exchange (OBE) model. After careful treatment of the S-D wave
mixing, the mass difference between the neutral and charged mesons and
the coupling of the pair to , a loosely bound molecular
state X(3872) emerges quite naturally with large isospin violation in its
flavor wave function. For example, the isovector component is 26.24% if the
binding energy is 0.30 MeV, where the isospin breaking effect is amplified by
the tiny binding energy. After taking into account the phase space difference
and assuming the and come from a virtual omega and rho meson
respectively, we obtain the ratio of these two hidden-charm decay modes:
for the binding
energy being 0.3 MeV, which is consistent with the experimental value.Comment: published in Phys. Rev.
The recoil correction and spin-orbit force for the possible and states
In the framework of the one-boson exchange model, we have calculated the
effective potentials between two heavy mesons and from the t- and u-channel -, -, -, - and
-meson exchanges. We keep the recoil corrections to the and systems up to , which
turns out to be important for the very loosely bound molecular states. Our
numerical results show that the momentum-related corrections are favorable to
the formation of the molecular states in the , in the
and systems.Comment: 12 pages, 9 figures. arXiv admin note: substantial text overlap with
arXiv:1403.404
Deuteron-like states composed of two doubly charmed baryons
We present a systematic investigation of the possible molecular states
composed of a pair of doubly charmed baryons () or one doubly
charmed baryon and one doubly charmed antibaryon
within the framework of the one-boson-exchange-potential model. For the
spin-triplet systems, we take into account the mixing between the and
channels. For the baryon-baryon system with and , where and represent the group
representation and the isospin of the system, respectively, there exist loosely
bound molecular states. For the baryon-antibaryon system
with , and , there
also exist deuteron-like molecules. The molecular states
may be produced at LHC. The proximity of their masses to the threshold of two
doubly charmed baryons provides a clean clue to identify them.Comment: 18 pages, 8 figure
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