Hi,
I wanted to integrate this:
Integrate[Simplify[
Exp[-2*(m*c/hbar)*x*r] * (1 + 1/(2*x^2)) * (x^2 - 1)^(1/2) / x^2,
{x, r, m, c, hbar} > 0 && {x, r, m, c, hbar} \[Element] Reals], {x,
1, Infinity}]
where m,c,hbar are constants defined like this
m := 9.10938291*10^-28
hbar := 1.054571726*10^-27
c := 29979245800
and
r
is a parameter.
I tried to put in some simplifying assumtion that all values are Real and Positive in order to help solve the integral.
However the result of the integration is:
ConditionalExpression[
6.10161*10^10 r + 1.81857*10^31 r^3 +
2.4674 MeijerG[{{}, {1/2, 3/2}}, {{0, 0}, {1/2, 1/2}},
6.70605*10^20 r^2] +
1.2337 MeijerG[{{}, {1/2, 5/2}}, {{0, 1}, {1/2, 1/2}},
6.70605*10^20 r^2], Re[r] > 0]
So I was wondering if I miss something which causes the integration to result in this complicated conditional expression (for which I have no idea what it means).
In case some context might be of help: I'm trying to solve the integral part of Eq.1 of this paper:
http://cds.cern.ch/record/966452/files/PhysRev.95.1048.pdfAny ideas anyone ?
