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Homework Help: Gamma radiation

  1. Apr 7, 2007 #1
    1. The problem statement, all variables and given/known data
    The isomeric (metastable) state of [itex] ^{134}_{55}Cs [/itex] [itex] (J^\pi = 8^-[/itex] decays to the ground state ([itex]4^+[/itex] as well as to an excited state [itex] 5^+[/itex] with transitions energies 137keV and 127keV respectively. State the nature of the two transitions and estimate the relative intensity of the 137keV and 127keV rediations

    2. Relevant equations
    The Weisskopf formulas for the reduced transition probabilities??
    For EL transitions
    [tex] B_{sp}(EL) = \frac{e^2}{4\pi} \left(\frac{3R^L}{L+3}\right)^2[/tex]
    For ML transitions
    [tex] B_{sp}(ML)=10\left\frac{\hbar}{m_{p}cR}\right)^2 B_{sp}(EL)[/tex]

    [tex] R=R_{0}A^{1/3}[/tex]

    3. The attempt at a solution
    Well for the 8- to 4+ tranistions
    so it may be M4, E5, and so on
    Most likely to be M4.

    For th 8- to 5+ transitions
    so it may be E3, M4,...
    Most likely E3.

    Would calculation of the relative intensities be proportional to the rratio of the reduced probability ratios for both M4 and E3 transitions??
    So that would be this ratio

    [tex] \frac{B(M4)}{B(E3)} = \frac{137}{127}[/tex]

    I chose to do this because the transition probability is a measure of how likely a specific transition may occur. The intensities should be proprtional to that

    Thats my understanding.

    Thanks for any help that you can offer!
  2. jcsd
  3. Apr 8, 2007 #2
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