Hello all, I am having trouble understanding how this works. In Krane there arises a discussion on total angular momentum(adsbygoogle = window.adsbygoogle || []).push({}); Iof the deuteron. While it is true it has three components, namely the individual spins of the neutron and proton, but also the orbital angular momentumlof the nucleons as they move about their common center of mass. This total angular momentum can be denoted by

[itex]I=s_{p} + s_{n} + l[/itex]

He continues on to talk about the different ways to couple these contributions and states there are only four possibilities. I can see the first two possibilities for total angular momentumI=1, but the other two make no sense. These are the possibilities:

(1) [itex]s_{n}[/itex] and [itex]s_{p}[/itex] are parallel with [itex]l=0[/itex]

(2) [itex]s_{n}[/itex] and [itex]s_{p}[/itex] are antiparallel with [itex]l=1[/itex]

(3) [itex]s_{n}[/itex] and [itex]s_{p}[/itex] are parallel with [itex]l=1[/itex]

(4) [itex]s_{n}[/itex] and [itex]s_{p}[/itex] are parallel with [itex]l=2[/itex]

One can see why (1) and (2) hold by inspection but (3) and (4) make my brain hurt. Perhaps I am just not seeing the correct orientation. Any suggestions?

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# Total nuclear spin of deuteron

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