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Problems are listed in approximate order of difficulty. A single dot (•) indicates straigh...

Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.

• Yukawa’s theory of the strong nuclear force requires that a nucleon be able to emit a virtual pion, N → N + π. Explain why the pion spin, sπ, must be an integer. [Hint: The time–energy uncertainty relation allows the nonconservation of energy in this virtual process, but the same is not true of angular momentum; that is, total angular momentum is always conserved, even in virtual processes.]

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