In a simplified model for a deuteron the poteutial cnergy part of theHamiltonian is V =Va(r) + V6(r)Sn Sp. The spin operators for the twospin-1/2 particles are s, and sp; the masses are m, and m,; Va and V, arefunctions of the particle separation r.(a) The energy eigenvalue problem can be roduced to a onc-dlimensionalproblem in the one variable r. Write out this one-dimensional equation.(b) Given that Va and V both are negative or zero, state (and explain)whether the ground state is singlet or triplet.

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In a simplified model for a deuteron the potcutial cnergy part of thc Hamiltonian is V = V.(r) + V6(r)sn Sp. The spin operators for the two spin-1/2 particles are s, and sp; the masses are m, and m,; Va and V, are functions of the particle separation r. (a) The energy eigenvalue problen can be reduced to a onc-dimensional problem in the one variabler. Write out this one-dimensional equation. (b) Given that Va and V lboth are negative or zero, state (and cxplain) whether the ground state is singlet or triplet.

In a simplified model for a deuteron the potcutial cnergy part of thc Hamiltonian is V = V.(r) + V6(r)sn Sp. The spin operators for the two spin-1/2 particles are s, and sp; the masses are m, and m,; Va and V, are functions of the particle separation r. (a) The energy eigenvalue problen can be reduced to a onc-dimensional problem in the one variabler. Write out this one-dimensional equation. (b) Given that Va and V lboth are negative or zero, state (and cxplain) whether the ground state is singlet or triplet.