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

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SUMMARY

The discussion centers on the semi-classical model of nucleon-nucleon scattering, specifically addressing the angular momentum representation. The participant argues that the equation ##l \hbar = mvR## is incorrect and proposes that the correct formulation is ##mvR = \sqrt{l(l+1)} \hbar##. This correction is supported by references from "Introduction to Nuclear Physics" by Krane, highlighting the need for accurate angular momentum representation in nuclear physics.

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JD_PM
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I have found the following explanation:

Screenshot (317).png

Screenshot (318).png
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.
 
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JD_PM said:
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##.
 
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