Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Auxiliary field method for the square root potential   Using the auxiliary field method, we give an analytical expression for the
eigenenergies of a system composed of two non-relativistic particles
interacting via a potential of type $\sqrt{a^2 r^2 + b}$. This situation is
usual in the case of hybrid mesons in which the quark-antiquark pair evolves in
an excited gluonic field. Asymptotic expressions are proposed and the
approximate results are compared to the exact ones. It is shown that the
accuracy is excellent.

17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph