Problem%20Set%208%202008.1 - I 3 = -1 ( π-), 0 ( π ), or...

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Problem set #8 (Due June 16 12:00 pm) 1. Consider scattering a proton off a deuteron. At high enough energy, it is possible to produce a π -meson and either 3 He or a tritium nucleus: p+d 3 H + π + p+d 3 He+ π 0 The transition amplitude for the initial and final states is given as < f |T| i >, where T preserves the isospin of the particles. The amplitude is diagonal in the |I,I 3 > basis and independent of I 3 . The isospin of proton is I=1/2 with I 3 =1/2, and for pi meson I=1 with
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Unformatted text preview: I 3 = -1 ( π-), 0 ( π ), or +1 ( π + ), while the deuteron is an isoscalar (I=0). Tritium and He have isospin of 1/2. (a) Compute the Clebsch-Gordan coefficients for the states with j=3/2, m=1/2, j 1 =1 and j 2 =1/2, where J = J 1 + J 2 . (b) Suppressing all the other quantum numbers except isospin, calculate the ratio of the cross sections (~|< f |T| i >| 2 )for the two processes. 2. Sakurai, Chap. 3. 28...
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This note was uploaded on 10/11/2009 for the course PHYSICS 866 taught by Professor Js during the Spring '08 term at Pohang University of Science and Technology.

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