Recent content by unscientific

  1. U

    Conditions on Christoffel Symbols?

    What do you mean by "substitute the metric components that appear in the given line element ##ds^2##"?
  2. U

    What is the expected rate of reactions in the detector?

    Or is it better to use ##W = \sigma \frac{J}{A} (nA\delta x) = \sigma \frac{J}{A} N## where I can find the flux from using ##\frac{J}{4\pi r^2}##?
  3. U

    What is the expected rate of reactions in the detector?

    Homework Statement A reactor fires out ##10^{21}## neutrinos per second. A detector containing ##10m^3## of liquid which contains 30 carbon atoms every 60 hydrogen atoms. The detector-reactor distance is ##1000##. The cross section for the reaction is ##\sigma = 10^{-46} m^2##, and the density...
  4. U

    Experiments to distinguish 3-body and 2-body decays?

    Why is it that in a 2 body decay all muons are produced at the same energy? Since ##E_{cm} = E_\nu + E_\mu##, shouldn't there be a spectrum as well?
  5. U

    Experiments to distinguish 3-body and 2-body decays?

    I was wondering are there any experiments to distinguish between 2 and 3-body decays? For example, consider decay of the muon and the pion: The pion only emits 1 muon neutrino ("missing energy") and 1 muon. The muon however, emits 1 muon neutrino, 1 electron neutrino and 1 electron. How is...
  6. U

    What are the quantum numbers (n, L, J)?

    Oops. Then ##1s^2, 2s^2, 2s2p, 3s^2, 3s3p##?
  7. U

    What are the quantum numbers (n, L, J)?

    Ok, but ##n## is defined as the number beside ##1s,2s,3s## right? So in that case the first 4 levels are ##1s^2, 1s1p, 2s^2, 2s2p, 3s^2##? So energy levels are ##n=1,1,2,2,3##.
  8. U

    What are the quantum numbers (n, L, J)?

    Ok, I think I got it. Are the first 4 energy levels ##1s^2, 2s^2, 3s^2, 4s^2##?
  9. U

    What are the quantum numbers (n, L, J)?

    We can't assume that, as each level has a shielding effect such that ##E_n = -hcR_{\infty}\frac{(Z-\sigma_n)^2}{n^2}##.
  10. U

    Conditions on Christoffel Symbols?

    If ##x^i = constant##, then wouldn't ##dx^i = 0##?
  11. U

    Conditions on Christoffel Symbols?

    Homework Statement Write down the geodesic equation. For ##x^0 = c\tau## and ##x^i = constant##, find the condition on the christoffel symbols ##\Gamma^\mu~_{\alpha \beta}##. Show these conditions always work when the metric is of the form ##ds^2 = -c^2dt^2 +g_{ij}dx^idx^j##.Homework...
  12. U

    Fraction of particles getting through?

    Ok, how would the integrals with limits look like in the spherical coordinate system?
  13. U

    Fraction of particles getting through?

    Theta is the angle subtended from point of emission to edge of detector and phi is the same, but sideways.
  14. U

    Fraction of particles getting through?

    I suppose that the origin is where the particles fly out, and the detector is situated ##200km## away.
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