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Consider a particle (A) of spin 3/2 that can disintegrate into two particles: one of spin 1/2 (B) and one of spin 0 (C). We place ourselves in the rest frame of particle A. Total angular momentum (magnitude and z-component) is conserved during the disintegration. (a) When particle A disintegrates, what values can the relative orbital angular mo- mentum quantum mumber, l, take for the motion of the two final particles about the position of their centre of mass? (b) In a particular experiment, particle A is initially prepared in the spin state |SA =, ma = }). It is found that after the particle disintegrates, the relative orbital angular momentum quantum number is, l = 1. What is the probability of finding particle B in the spin-up state, |SB = , mB =})? (Show your calcula- tion).

Consider a particle (A) of spin 3/2 that can disintegrate into two particles: one of spin 1/2 (B) and one of spin 0 (C). We place ourselves in the rest frame of particle A. Total angular momentum (magnitude and z-component) is conserved during the disintegration. (a) When particle A disintegrates, what values can the relative orbital angular mo- mentum quantum mumber, l, take for the motion of the two final particles about the position of their centre of mass? (b) In a particular experiment, particle A is initially prepared in the spin state |SA =, ma = }). It is found that after the particle disintegrates, the relative orbital angular momentum quantum number is, l = 1. What is the probability of finding particle B in the spin-up state, |SB = , mB =})? (Show your calcula- tion).

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Consider a particle (A) of spin 3/2 that can disintegrate into two particles: one of spin 1/2 (B) and one of spin 0 (C). We place ourselves in the rest frame of particle A. Total angular momentum (magnitude and z-component) is conserved during the disintegration. (a) When particle A disintegrates, what values can the relative orbital angular mo- mentum quantum number, l, take for the motion of the two final particles about the position of their centre of mass? (b) In a particular experiment, particle A is initially prepared in the spin state |SA =, mA = }). It is found that after the particle disintegrates, the relative orbital angular momentum quantum number is, l = 1. What is the probability of finding particle B in the spin-up state, SB =,mB = )? (Show your calcula- tion).
Transcribed Image Text:Consider a particle (A) of spin 3/2 that can disintegrate into two particles: one of spin 1/2 (B) and one of spin 0 (C). We place ourselves in the rest frame of particle A. Total angular momentum (magnitude and z-component) is conserved during the disintegration. (a) When particle A disintegrates, what values can the relative orbital angular mo- mentum quantum number, l, take for the motion of the two final particles about the position of their centre of mass? (b) In a particular experiment, particle A is initially prepared in the spin state |SA =, mA = }). It is found that after the particle disintegrates, the relative orbital angular momentum quantum number is, l = 1. What is the probability of finding particle B in the spin-up state, SB =,mB = )? (Show your calcula- tion).
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