Nucleon-nucleon scattering; why can we assume ##l=0##?

[JD_PM]

Homework Statement

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Relevant Equations

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I have found the following explanation:

Isn't $l \hbar = mvR$ (semi-classical argument) wrong? I'd state $mvR = \sqrt{l(l+1)} \hbar$ instead.

Text is coming from Introduction to Nuclear Physics; Krane, pages 87 and 88.

 

[DrClaude]

Isn't $l \hbar = mvR$ (semi-classical argument) wrong? I'd state $mvR = \sqrt{l(l+1)} \hbar$ instead.

In the semi-classical model, you take angular momentum to be a classical vector, so its length $\ell$.