Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A self-consistent value of the electric radius of the proton from the
  Lamb shift in muonic hydrogen   Recently a high-precision measurement of the Lamb shift in muonic hydrogen
has been performed. An accurate value of the proton charge radius can be
extracted from this datum with a high accuracy. To do that a sufficient
accuracy should be achieved also on the theoretical side, including an
appropriate treatment of higher-order proton-structure effects. Here we
consider a higher-order contribution of the finite size of the proton to the
Lamb shift in muonic hydrogen. Only model-dependent results for this correction
have been known up to date. Meantime, the involved models are not consistent
either with the existing experimental data on the electron-proton scattering or
with the value for the electric charge radius of the proton extracted from the
Lamb shift in muonic hydrogen. We consider the higher-order contribution of the
proton finite size in a model-independent way and eventually derive a
self-consistent value of the electric radius of the proton. The re-evaluated
value of the proton charge radius is found to be R_E=0.84022(56) fm.

2
The categories of this paper are: math
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th