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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

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# Elastic reactions, ratio of cross sections

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