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The proton elastic form factor (nuclear physics)

  1. Mar 12, 2013 #1
    1. The problem statement, all variables and given/known data
    The elastic form factors of the proton are well described by the form

    G(q2) = [itex]\frac{G(0)}{(1 + (\frac{q^{2}}{0.71})^{2}}[/itex]

    with qw in GeV2. Show that an exponential distribution in the proton given by

    ρ(r) = ρoe-λr

    2. Relevant equations

    thought it to be the simple integral

    3. The attempt at a solution

    The integral

    G(q2) = ∫∫∫ ρ(r)*e^(-iqrcosθ)*r2sinθ*drdθd∅

    phi is 0 to 2pi

    theta is 0 to pi

    r is 0 to ∞

    the problem is the r integral

    G(q2) = a∫ r*sin(qr)*e^(-λr)

    a are the constants combined into 1 term

    I've done a problem similar with the Yukawa potential, but the Yukawa potential eliminated the r next to the sin(qr) which made it solvable.

    not sure if i have done something wrong or what.

    any help would be appreciated
     
  2. jcsd
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