Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse mode coupling instability of the bunch with oscillating wake
  field and space charge   Transverse mode coupling instability of a single bunch caused by oscillating
wake field is considered in the paper. The instability threshold is found at
different frequencies of the wake with space charge tune shift taken into
account. The wake phase advance in the bunch length from 0 up to $4\pi$ is
investigated. It is shown that the space charge can push the instability
threshold up or down dependent on the phase advance. Transition region is
investigated thoroughly, and simple asymptotic formulas for the threshold are
represented.

2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th