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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

Short Answer

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Answer

The answer is 1287.

Step by step solution

01

Given data

The strong force is much stronger than the Coulomb force within the nucleus.

02

Definition of Potential Well

The finite potential well (also known as the finite square well) is a concept from quantum mechanics.

A particle is contained in a "box" with finite potential "walls" as an extension of the infinite potential well.

03

Explain which is better approximation of potential well confining nucleons amongst flat bottom finite well and coulomb well.

The potential confining the nucleons have contribution from the strong interaction attractions between all nucleons and the coulomb repulsion between all pairs of protons.

The strong force is much stronger than the Coulomb force within the nucleus.

Thus, the potential is more like a fiat bottom well, which is a good approximation of the strong interaction attraction potential when nucleons are close, than a Coulomb well.

In fact, the nucleons would not keep together if only Coulomb force exists.

The repulsion will cause all the protons to fly apart.

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