Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-19
Phys.Rev.D74:034022,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, discussion of the parameters used is added on page 5, version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.74.034022
We analyse fall-apart decays of poliquark (tetra, penta and molecule type) hadrons within the constituent quark picture. For processes in which a poliquark hadron goes to final states containing a light pseudoscalar meson the constraints given by chiral symmetry are implemented. As an application of the approach developed, fall-apart decays of $a(980)$ and X(3872) are studied, assuming these mesons are poliquark hadrons. Two extreme options - confined diquark-diquark states and molecular states - are considered. For $a^0(980)$, the observed width can be obtained assuming that this meson is a diquark-diquark composite with a relatively large size of around $1\div 1.5$ fm. The pure $K \bar K $ molecular-type state, however, can be excluded. For the X(3872), a sufficiently small width can be obtained if it is a dominantly isospin-0 diquark-diquark composite with a very large size of $\ge 2.5$ fm. The pure molecular option appears possible if the binding energy is tiny, $E_b\lesssim 0.2$ MeV, corresponding to a huge size.
Melikhov Dmitri
Stech Berthold
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