The nuclear force between two neutrons in a nucleus is described roughly by the Yukawa potential
where r is the distance between the neutrons and U0 and r0 (≈ 10−15 m) are constants. (a) Determine the force F(r). (b) What is the ratio F(3r0)/F(r0)? (c) Calculate this same ratio for the force between two electrically charged particles where U(r) = −C/r, with C a constant. Why is the Yukawa force referred to as a “short-range” force?
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