24. It should be noted that when the problem statement says the masses of the proton and the deuteron
are . . . they are actually referring to the corresponding atomic masses (given to very high precision).
That is, the given masses include the orbital electrons. As in many computations in this chapter, this
circumstance (of implicitly including electron masses in what should be a purely nuclear calculation)
does not cause extra difficulty in the calculation (see remarks in Sample Problems 43-4, 43-6, and 43-7).
Setting the gamma ray energy equal to "Ebe, we solve for the neutron mass (with each term understood
to be in u units):
Eł
mn = Md - mH +
c2
2.2233
= 2.0141019 - 1.007825035 +
931.502
= 1.0062769 + 0.0023868
which yields mn = 1.0086637 u, where the last digit (7) is uncertain to within roughly ą2 (but this
depends on what precisely the uncertainties are in the given data).
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