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Homework Help: Elastic scattering of WIMPs off nuclei

  1. Mar 22, 2015 #1
    Hello,

    My problem is as follows

    I've tried differentiating to find the maximum and I've tried plotting E against [itex]m_{\chi}[/itex] for a range of values and this did not suggest a maximum at [itex]m_N = m_{\chi}[/itex]. Could someone explain why it is the case that the energy transfer is maximum when these masses are equal?

    Thanks a lot.
     
  2. jcsd
  3. Mar 22, 2015 #2

    mfb

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    Staff: Mentor

    It is a maximum with respect to the nuclei mass (the thing we can change), not with respect to the WIMP mass (which we cannot influence).
     
  4. Mar 23, 2015 #3
    Yeah I figured that out, I was being an idiot. Thanks for the help though.
     
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