Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Head-Tail Modes for Strong Space Charge   The head-tail modes are described for the space charge tune shift
significantly exceeding the synchrotron tune. A general equation for the modes
is derived. The spatial shapes of the modes, their frequencies, and coherent
growth rates are explored. The Landau damping rates are also found. The
suppression of the transverse mode coupling instability by the space charge is
explained.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math