Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decipher the short-distance component of $X(3872)$ in $B_c$ decays   A foremost task in understanding the nature of the $X(3872)$ involves the
discrimination of the two-quark and multiquark configurations. In this work, we
propose a method to probe the short-distance component of the $X(3872)$ by
measuring the ratio between the $B_c$ semileptonic and nonleptonic decays into
the $X(3872)$. We demonstrate that if the $X(3872)$ production mechanism is
through the $\bar cc$ component, the ratios would be universal and could be
reliably predicted in theory. Measurements of these ratios at LHC and the
next-generation electron-positron colliders are capable of
validating/invalidating this production mechanism and providing deeper insights
into the nature of the $X(3872)$.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg