The discussion clarifies that in the nuclear shell model, the orbital angular momentum quantum number (ℓ) is not restricted by the principal quantum number (n) as it is in the atomic shell model. The principal quantum number does not correspond to energy levels in the nuclear shell model, which operates under a central potential that differs from the Coulomb potential seen in atomic models. Instead, the numbers used in spectroscopic notation, such as 2p or 1d, serve merely as serial identifiers for energy levels rather than principal quantum numbers.
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Who says it isn't?burgjeff said:Why isn't the Orbital angular momentum quantum number in the nuclear shell model restricted by the principal quantum number like it is in the atomic shell model?
No it doesn't. Neither does it correspond to energy in the atomic shell model.Also, does the principal quantum number even correspond to energy in the shell model?
burgjeff, Atomic states correspond to energy levels in a Coulomb potential, the energy E ~ 1/n2, where n is the principal quantum number.burgjeff said:Why isn't the Orbital angular momentum quantum number in the nuclear shell model restricted by the principal quantum number like it is in the atomic shell model? Also, does the principal quantum number even correspond to energy in the shell model?