Shell Model of Nucleus

The Shell Model of Nucleus is somewhat similar to the Atomic structure, in a sense that electrons that revolve around the nucleus in an Atom do so in discrete Energy levels / or Shells, wherein filling up of certain electron Shells lead to exceptional stability of the chemical elements. Such electronic configurations are known as Inert Gases or Noble Elements. These configurations correspond to certain atomic numbers.
A similar concept also exists in the case of Nucleus. There are certain numbers associated with the number of neutrons/ protons in a nucleus that have very interesting properties. These numbers are called Magic Numbers.
Magic Numbers : 2, 8, 20, 28, 50, 82, 126
Any nucleus which has number of neutrons/ protons that correspond to the Magic Numbers show exceptional nuclear stability, and abundance in nature. Magic numbers play a very important role as it corresponds to exceptional nuclear stability.
So we can say that these magic numbers are to the nuclear configuration, what the complete shell structure is to atomic configuration.
The Shell Model thus attempts to account for these Magic Numbers by a similar approach.
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NUCLEAR AND PARTICLE PHYSICS - Series :
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1) What is Nuclear Physics? ► • What is Nuclear Physic...
2) Nuclear Size / Radius ► • Nuclear Size / Radius
3) Quantization of Angular Momentum ► • What is Quantization o...
4) Nuclear Spin and Angular Momentum ► • Nuclear Spin and Angul...
5) Nuclear Magnetic Moment ► • Nuclear Magnetic Moment
6) Binding Energy of Nucleus & BE Curve ► • What is Nuclear Bindin...
7) Parity of Wave function ► • What is Parity of a Wa...
8) Symmetric & Anti symmetric Wave func ► • Symmetric and Anti-sym...
9) Liquid Drop Model of Nucleus ► • Liquid Drop Model of N...
10) Corrections to Liquid Drop Model ► • Corrections to Liquid ...
11) NZ Graph (& Maximizing BE) ► • What is NZ Graph? | Ma...
12) Fermi Energy of Nucleus ► • Fermi Energy of Nucleu...
13) Fermi Gas Model of Nucleus ► • Fermi Gas Model of Nuc...
14) Shell Model of Nucleus ► • Shell Model of Nucleus
15) Nature of (Strong) Nuclear Force) ► • Nature of (Strong) Nuc...
16) Alpha, Beta & Gamma Decay ► • Alpha, Beta & Gamma De...
17) Gamow's Theory of Alpha Decay ► • Gamow's Theory of Alph...
18) Gamow's Theory (DERIVATION) ► • [DERIVATION ] Gamow's ...
19) Q Value and KE of Alpha Decay ► • Q-Value | KE of Alpha ...
20) Beta Decay & Neutrino Hypothesis ► • Beta Decay & Neutrino ...
21) Radioactive Decay Law ► • What is Radioactive De...
22) Nuclear Cross Section ► • Nuclear Cross Section !!
23) Interaction of Nuclear Radiation with Matter ► • Interaction of Nuclear...
24) What is Cherenkov Radiaton? ► • The Physics of Cherenk...
25) Nuclear Detectors ► • Nuclear Detectors - Io...
26) Geiger Muller Counter ► • What is a GM Counter? ...
27) Scintillation Detector ► • What is a Scintillatio...
28) Semiconductor Detectors ► • What are Semiconductor...
29) What are Accelerators? ► • What are Accelerators?...
30) Van de Graaff Generator ► • Van de Graaff | Tandem...
31) Linear Accelerator ► • Linear Particle Accele...
32) Cyclotron ► • Cyclotron (Principle, ...
33) Synchrotron ► • Cyclotron & Synchrotro...
34) Betatron ► • Cyclotron & Synchrotro...
35) Fission & Fusion ► • Nuclear Fission and Fu...
36) Proton-Proton & CNO Cycle ► • Proton Proton Cycle & ...
37) Meson Theory of Nuclear Forces ► • Meson Theory of Nuclea...
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NUCLEAR PHYSICS - PLAYLIST
• Nuclear Physics
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Image Attribution :
1) Atomic Structure
Tsamacc [CC BY-SA 4.0 (creativecommon...)], from Wikimedia Commons
2) BE Curve
Wikimedia Commons
3) Isotopes of Calcium
Wikipedia
4) Uranium Decay Series
Tosaka [CC BY 3.0 (creativecommon...)], from Wikimedia Commons
5) Thorium Decay Series
commons.wikimed... [CC BY-SA 3.0 (creativecommon...)], via Wikimedia Commons
6) Actinium Decay Series
Edgar Bonet [CC BY-SA 3.0 (creativecommon...)], from Wikimedia Commons
7) Nuclear - Electric Quadrupole Moment
article.sapub.o...

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Sir can you please explain how collective model of nucleus explains the deviation of magnetic moments from Schmidt curves?

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Problem :�Give the expected shell-model spin and parity assignments for the ground states of (a) 7Li; (b)11B; (c) 15C; (d) 17F; (e) 31P; (f) 141Pr.

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[@red-baitingswine8816]

Very helpful and complete discussion!
How are the shells for protons separate from those of neutrons? Aren't all the nucleons subject to the same forces from both protons and neutrons? From the entire nucleus? How is it that they are computed separately?

[@FortheLoveofPhysics]

Because coulombic interaction happens for protons but not neutrons

[@red-baitingswine8816]

@@FortheLoveofPhysics Oh right! I totally forgot about that! Well, I'll have to think about that some more, because I thought that the strong force was so much larger that Coulomb forces are insignificant. And why are the numbers the same for both protons and neutrons? Maybe I'll find out when I watch the other videos. Thanks for the great videos! : )

[@maheshkd6567]

Thank you very much sir,
How do we know where the particular shell is closed?

[@jayashreedas7629]

Sir in shell model is there different energy levels for neutrons and protons? I mean if we write down the shell model structure of an even even nucleus then how do we represent that.. Only by considering neutrons energy levels only Or only by considering protons energy levels?? As for example if I write the shell model structure of He then what have we get there? Two different shell structure for 2 neutrons and 2 protons? Or one structure for 4 nucleons?