Fall-apart decays of polyquark hadrons

Abstract

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 $1÷1.5$ 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.

19 pages, discussion of the parameters used is added on page 5, version published in Phys. Rev. D

Cited by in corpus (2)

• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Charmonium possibility of X(3872)