(a) Compute the Clebsch-Gordan coefficients for the states with J Ji + J2, M = m1 + m2, where ji for the various possible m1 and m2 values. (b) Consider the reactions: 1 and j2 = 1/2, and j = 3/2, M = 1/2 |3| %3| n*p → n*p (i) (ii) (iii) These reactions, which conserve isospin, can occur in the isospin I = 3/2 state (A resonance) or the I ratios of these cross-sections, ơi : Oii : ơiii, for an energy corresponding to a A resonance and an N* resonance respectivcly. At a resonance energy you can neglect the effect due to the other isospin states. Note that the pion is an isospin I 1/2 state (N* resonance). Calculate the = 1 state and the nucleon an isospin I = 1/2 state.

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(a) Compute the Clebsch-Gordan coefficients for the states with J
Ji + J2, M = m1 + m2, where ji
for the various possible m1 and m2 values.
(b) Consider the reactions:
1 and j2 = 1/2, and j = 3/2, M = 1/2
%3|
n*p + n*p
(i)
(ii)
(iii)
These reactions, which conserve isospin, can occur in the isospin I = 3/2
state (A resonance ) or the I
ratios of these cross-sections, ơ¡ : Oii : ơiii, for an encrgy corresponding to
1/2 state (N* resonance). Calculate the
a A resonance and an N* resonance respectivcly. At a resonance energy
you can neglect the effect due to the other isospin states. Note that the
pion is an isospin I
= 1 state and the nucleo1n an isospin I = 1/2 state.
Transcribed Image Text:(a) Compute the Clebsch-Gordan coefficients for the states with J Ji + J2, M = m1 + m2, where ji for the various possible m1 and m2 values. (b) Consider the reactions: 1 and j2 = 1/2, and j = 3/2, M = 1/2 %3| n*p + n*p (i) (ii) (iii) These reactions, which conserve isospin, can occur in the isospin I = 3/2 state (A resonance ) or the I ratios of these cross-sections, ơ¡ : Oii : ơiii, for an encrgy corresponding to 1/2 state (N* resonance). Calculate the a A resonance and an N* resonance respectivcly. At a resonance energy you can neglect the effect due to the other isospin states. Note that the pion is an isospin I = 1 state and the nucleo1n an isospin I = 1/2 state.
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