Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Elastic reactions, ratio of cross sections

  1. Jan 21, 2010 #1
    Hello everybody,

    I am having some troubles with this exercise. I have attached the text and the solutions to my post. My problem is, after I have coupled the angular momenta and used the CK coefficients like in ([tex]|\pi ^{+}p>=|1,1>|1/2, 1/2>=|3/2,3/2>[/tex]) (pag.432) I don't understand what follows..well, I have a problem with :

    [tex]<\frac{3}{2},m_{j}|\hat{H}|\frac{3}{2},m_{i}>=a_{1}[/tex]

    [tex]<\frac{1}{2},m_{j}|\hat{H}|\frac{1}{2},m_{i}>=a_{2}[/tex]

    What exactly are coefficient [tex]a_1[/tex] and [tex]a_2[/tex] ? I assume elements of the [tex]\hat{H}[/tex] matrix...Is the matrix [tex]\hat{H}[/tex] the transition matrix of the reaction ? How can I calculate it ? This is really my problem, finding the [tex]\hat{H}[/tex] matrix. I attach the rest of the exrcise just you know, but my problem is really to understand how to calculate the [tex]\hat{H}[/tex] matrix and how to use it properly.

    Any help would be very much appreciated!

    Thanks a lot in advance!
    Erwin
     

    Attached Files:

  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted