Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the origin of the narrow peak and the isospin symmetry breaking of
  the $X$(3872)   The $X$(3872) formation and decay processes in the $B$-decay are investigated
by a $c\bar c$-two-meson hybrid model. The two-meson state consists of the
$D^0{\bar D}^*{}^0$, $D^+D^{*-}$, $J/\psi\rho$, and $J/\psi\omega$ channels.
The energy-dependent decay widths of the $\rho$ and $\omega$ mesons are
introduced. The $D$-${\bar D}^*$ interaction is taken to be consistent with a
lack of the $B{\bar B}^*$ bound state. The coupling between the $D{\bar D}^*$
and $J/\psi\rho$ or the $D{\bar D}^*$ and $J/\psi\omega$ channels is obtained
from a quark model. The $c{\bar c}$-$D{\bar D}^*$ coupling is taken as a
parameter to fit the $X$(3872) mass. The spectrum is calculated up to 4 GeV.
  It is found that very narrow $J/\psi\rho$ and $J/\psi\omega$ peaks appear
around the $D^0{\bar D}^*{}^0$ threshold. The size of the $J/\psi\pi^3$ peak we
calculated is 1.29-2.38 times as large as that of the $J/\psi\pi^2$. The
isospin symmetry breaking in the present model comes from the mass difference
of the charged and neutral $D$ and $D^*$ mesons, which gives a sufficiently
large isospin mixing to explain the experiments. It is also found that values
of the ratios of the transfer strengths can give the information on the
$X$(3872) mass or the size of the $c{\bar c}$-$D{\bar D}^*$ coupling.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio