Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite second-order Born term for Coulomb wavepacket scattering   It has been known for some time that, for nonrelativistic Coulomb scattering,
the terms in the Born series of second and higher order diverge when using the
standard method of calculation. In this paper we take the matrix elements
between square-integrable wavepacket state vectors. We reproduce the Rutherford
cross section from the first-order contribution. We find that the second-order
contribution is finite and negligible compared to the first-order contribution,
away from the forward direction. At first order, the contribution to the
amplitude in the forward direction is found to be finite and physically
reasonable. We comment on how a similar procedure applied to the divergences of
quantum field theories might render them finite.

31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio