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C, D, E, F B A ΔΕ ? 1 above states A and B are four states, C, D, E, and F. There are no other states near C, D, E, and F. (a) What is the most likely value of the relative orbital angular momentum of the nucleons in state B? What is the relative orientation of the nucleon intrinsic spins in state B, and what is the resulting value of the total angular momentum I in state B? (b) In states C, D, E, and F the nucleons have the same relative orbital angular momentum (but different from state A). Make a reasonable guess at the value of the orbital angular momentum and justify your choice. (c) By considering the possible couplings of the orbital angular momentum and the intrinsic spins of the two nucleons, show that there must be only four states in the excited multiplet, and give the four possible values of the total angular momentum I and the parity. (d) Assuming the energy gap AE to result primarily from the "centripetal" contribution to the potential, estimate AE. Be sure to justify any choice of parameters you use in your estimate.

C, D, E, F B A ΔΕ ? 1 above states A and B are four states, C, D, E, and F. There are no other states near C, D, E, and F. (a) What is the most likely value of the relative orbital angular momentum of the nucleons in state B? What is the relative orientation of the nucleon intrinsic spins in state B, and what is the resulting value of the total angular momentum I in state B? (b) In states C, D, E, and F the nucleons have the same relative orbital angular momentum (but different from state A). Make a reasonable guess at the value of the orbital angular momentum and justify your choice. (c) By considering the possible couplings of the orbital angular momentum and the intrinsic spins of the two nucleons, show that there must be only four states in the excited multiplet, and give the four possible values of the total angular momentum I and the parity. (d) Assuming the energy gap AE to result primarily from the "centripetal" contribution to the potential, estimate AE. Be sure to justify any choice of parameters you use in your estimate.

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15. Suppose the nucleon-nucleon force were stronger, so that the deuteron had the following bound states: State A is the "well-known" ground state with the properties discussed in this chapter. State B is very close to state A. At a large energy gap AE THE FORCE BETWEEN NUCLEONS 115 C, D, E, F ΔΕ I = ? I = 1 A above states A and B are four states, C, D, E, and F. There are no other states near C, D, E, and F. (a) What is the most likely value of the relative orbital angular momentum of the nucleons in state B? What is the relative orientation of the nucleon intrinsic spins in state B, and what is the resulting value of the total angular momentum I in state B? (b) In states C, D, E, and F the nucleons have the same relative orbital angular momentum (but different from state A). Make a reasonable guess at the value of the orbital angular momentum and justify your choice. (c) By considering the possible couplings of the orbital angular momentum and the intrinsic spins of the two nucleons, show that there must be only four states in the excited multiplet, and give the four possible values of the total angular momentum I and the parity. (d) Assuming the energy gap AE to result primarily from the "centripetal" contribution to the potential, estimate AE. Be sure to justify any choice of parameters you use in your estimate.
Transcribed Image Text:15. Suppose the nucleon-nucleon force were stronger, so that the deuteron had the following bound states: State A is the "well-known" ground state with the properties discussed in this chapter. State B is very close to state A. At a large energy gap AE THE FORCE BETWEEN NUCLEONS 115 C, D, E, F ΔΕ I = ? I = 1 A above states A and B are four states, C, D, E, and F. There are no other states near C, D, E, and F. (a) What is the most likely value of the relative orbital angular momentum of the nucleons in state B? What is the relative orientation of the nucleon intrinsic spins in state B, and what is the resulting value of the total angular momentum I in state B? (b) In states C, D, E, and F the nucleons have the same relative orbital angular momentum (but different from state A). Make a reasonable guess at the value of the orbital angular momentum and justify your choice. (c) By considering the possible couplings of the orbital angular momentum and the intrinsic spins of the two nucleons, show that there must be only four states in the excited multiplet, and give the four possible values of the total angular momentum I and the parity. (d) Assuming the energy gap AE to result primarily from the "centripetal" contribution to the potential, estimate AE. Be sure to justify any choice of parameters you use in your estimate.
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