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Chapter 11: Q4CQ (page 517)
Question:Why might a flat-bottom finite well be a better approximation of the potential well confining nucleons than a Coulomb well tapering to a lowest energy in the middle
Answer
The answer is 1287.
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In both D-D reactions in equation (11-18). Two deuterons fuse to produce two particles, a nucleus of and a free nucleon. Mass decreases because the binding energy of theA=3nucleus is greater than the combined binding energies of the two deuterons. The binding energy of helium-4is even greater still. Why can't the deuterons simply fuse into a helium-4nucleus and nothing else? Why must multiple particles be produced?
Equation (9-42) gives the Fermi energy for a collection of identical fermions packed into the lowest energies allowed by the exclusion principle. Argue that if applied to neutrons or protons (ignoring their repulsion) in a nucleus. the equation suggests that the Fermi energy is roughly the same for all nuclei. Making the rough approximation that the spacing between quantum levels is a constant in a given nucleus, argue that this spacing should vary from one nucleus to another in proportion to .
(a) Calculatethe binding energies per nucleon of the isobars boron- 12, carbon- 12, and nitrogen- 12.
(b) In which ofthe terms of the semiempirical binding energy formula do these binding energies differ, and how should these differences affect the binding energy per nucleon?
(c) Determine the binding energy per nucleon using the semiempirical binding energy formula and discuss the result.
The vast majority of measured nuclear spins are fairly small, between zero and nine times . More to the point. Nuclear spin does not uniformly increases with . Argue that if the assumptions in the shell model are valid then these observations are not unexpected.
Question:How is it that a high binding energy is a low energy?
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