Single particle states

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Presentation transcript:

Single particle states Energy level diagram for the single particle states available to be filled by protons or neutrons in order to build larger nuclei. From the left is first the ladder for the spherical oscillator approximation, then a refinement to accomodate the finite depth of the oscillator potential, and then the splitting caused by the strong spin-orbit coupling.

Spherical – deformed representation Schematic representation of the effect of a passage of a nucleus from an ideal spherical shape to the usual shape of a prolate ellipsoid for an example of neutron single particle states in the mass region above 82 neutrons filling lower states.

g-factor of electron, proton and neutron particle Z/e gℓ spin µs=gsµKs gs e- -1 1 1/2 2 p +1 +2.79 +5.58 n -1.91 -3.82 Dirac particles? charge mass mq spin mag. moment up-quark +2/3 ~1/3mN 1/2 down-quark -1/3 Quark-model coupling scheme: u×u: d×d: uu×d: dd×u: neutron (ddu): gs=-4 proton (uud): gs=6

g-factor of proton states coupling scheme:

g-factor of proton and neutron states proton states: h11/2 g7/2 neutron states: i13/2 f7/2 8- isomeric state (2 quasi particle configuration) 16+ isomeric state (4 quasi particle configuration) Hyperfine Interaction 52 (1989), 79 coupling scheme: