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While each nucleon is a fermion, the {NP} deuteron is a boson and thus does not follow Pauli Exclusion for close packing within shells. Lithium-6 with 6 nucleons is highly stable without a closed second 1p shell orbital. For light nuclei with total nucleon numbers 1 to 6 only those with 5 do not show some evidence of stability.
The most common extension to mean field theory is the nuclear pairing. Nuclei with an even number of nucleons are systematically more bound than those with an odd one. This implies that each nucleon binds with another one to form a pair, consequently the system cannot be described as independent particles subjected to a common mean field.
In general, their ground states tend towards a prolate shape, [33] although experimental data hint at oblate ground-state shapes in certain nuclei, for example krypton-72. [34] Experiments also suggest that some heavy nuclei, such as barium-144 and radium-224, possess asymmetric pear shapes evidenced by their measured octupole moments.
If the radius of the bag is set to the radius of the nucleon, the bag model predicts a nucleon mass that is within 30% of the actual mass. Although the basic bag model does not provide a pion-mediated interaction, it describes excellently the nucleon–nucleon forces through the 6 quark bag s-channel mechanism using the P-matrix. [11] [12]
For nuclei heavier than nickel-62 the binding energy per nucleon decreases with the mass number. It is therefore possible for energy to be released if a heavy nucleus breaks apart into two lighter ones. The process of alpha decay is in essence a special type of spontaneous nuclear fission. It is a highly asymmetrical fission because the four ...
Therefore, there can exist both "magic nuclei", in which one nucleon type or the other is at a magic number, and "doubly magic quantum nuclei", where both are. Due to variations in orbital filling, the upper magic numbers are 126 and, speculatively, 184 for neutrons, but only 114 for protons, playing a role in the search for the so-called ...
Odd–odd primordial nuclides are rare because most odd–odd nuclei beta-decay, because the decay products are even–even, and are therefore more strongly bound, due to nuclear pairing effects. [4] Yet another effect of the instability of an odd number of either type of nucleon is that odd-numbered elements tend to have fewer stable isotopes.
For heavy nuclei, it is close to the nuclear saturation density = nucleons/fm 3, which minimizes the energy density of an infinite nuclear matter. [1] The nuclear saturation mass density is thus ρ 0 = n 0 m u ≈ 2.5 × 10 17 {\displaystyle \rho _{0}=n_{0}m_{\rm {u}}\approx 2.5\times 10^{17}} kg/m 3 , where m u is the atomic mass constant .