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Nuclear models What is meant by nuclear magic numbers? Discuss the meaning of th

ID: 2077567 • Letter: N

Question

Nuclear models What is meant by nuclear magic numbers? Discuss the meaning of the terms of the semi-empirical mass formula. What is meant by the Fermi momentum and what is its value in a typical nucleus, say for N = Z What ingredients are important in the shell model to produce the observed magic numbers? What is characteristic of the low energy nuclear spectra of nuclei that can be described by the vibrational model? What is characteristic of the energy spectra of nuclei that can be described by the rotational model?

Explanation / Answer

Nuclear magic numbers explain about the stability of nucleus. Another factor used for stability of the nucleus is proton to neutron ration.

The magic numbers for both number of protons and neutrons is

The magic numbers are:

proton: 2, 8, 20, 28, 50, 82, 114

neutron: 2, 8, 20, 28, 50, 82, 126, 184

If the nucleus contains the given number of protons or neutrons then they are more stable than the others.

It is similar to the octave rule of electrons in atom.