Why Are Proton-Proton and Neutron-Neutron Bonds More Stable in Atomic Nuclei?

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SUMMARY

Proton-proton (pp) and neutron-neutron (nn) bonds exhibit greater stability in atomic nuclei due to higher binding energy, as indicated by the pairing term in the semi-empirical mass formula (SEMF). The pairing term reflects the preference for pp and nn pairs over neutron-proton (np) combinations, which are limited by the Pauli Exclusion Principle (PEP). In nuclear physics, nucleons interact within a collective potential created by all other nucleons, making the formation of stable pairs more energetically favorable. The shell model further explains this phenomenon by illustrating how aligned spins in paired nucleons lead to lower energy configurations.

PREREQUISITES
  • Understanding of the semi-empirical mass formula (SEMF)
  • Knowledge of the Pauli Exclusion Principle (PEP)
  • Familiarity with the shell model in nuclear physics
  • Basic concepts of binding energy and potential energy in atomic nuclei
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  • Research the implications of the shell model in nuclear structure
  • Study the effects of the Pauli Exclusion Principle on nucleon interactions
  • Explore the differences between nuclear physics and chemistry regarding nucleon bonding
  • Investigate the role of isospin in nucleon combinations and stability
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Nuclear physicists, students of advanced physics, and anyone interested in the stability of atomic nuclei and the interactions between nucleons.

jeffbarrington
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I am curious as to why proton-proton, neutron-neutron bonds are preferable in the nucleus; the pairing term in the semi empirical mass formula for the nucleus comes from the fact that pp and nn bonds are more stable in the nucleus (higher binding energy or more negative potential energy, however you want to look at it) whereas when talking about the formation of simple, two nucleon particles, the only one allowable is np, i.e. deuterium because of the PEP. Why isn't the PEP applying in the nucleus? Why does the pairing term not favour np bonds?
 
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Nuclear physics is not chemistry. You don't make nuclei by considering individual nucleon-nucleon bonds. Each nucleon feels the potential created by the other nucleons.
 
Vanadium 50 said:
Nuclear physics is not chemistry. You don't make nuclei by considering individual nucleon-nucleon bonds. Each nucleon feels the potential created by the other nucleons.
Of course, but the pairing term of the SEMF is to be thought of as being to do with pp and nn pairs in the nucleus. Is this an effect of the shell model? Like how in atoms it's lower energy (high binding energy) for the spins to be aligned if the electrons are all in different orbitals?
 
Nuclei can have spin up and down, every available energy level can get two neutrons or protons, respectively. That makes pairs favorable, the next (odd) nucleon has to occupy a higher energy level.
 
jeffbarrington said:
two nucleon particles, the only one allowable is np, i.e. deuterium because of the PEP

What is the PEP? I thought the combination pn was favorable because of isospin issues?
 

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