PPT Slide

Imagine a rotational band, built on a certain

Nilsson orbital.

This orbital can be written as a linear combination

of the spherical orbitals, which have different

orbital and total angular momenta.

Each state in the band has a different spin, of course.

If it is populated by transferring a particle into a certain

Nilsson orbital (that characterizes the band) then it does

so ONLY via the amplitude (of the spherical orbital) that

has j equal to the J of the state (the core has spin zero).

This amplitude for population will therefore be different

for each state in the band and characteristic of the

Nilsson orbital… i.e. a fingerprint identifying the orbital.

Fingerprints in transfer

j+4

j+3

j+2

j+1

B. Elbeck and O. Tjorn

Adv. Nucl. Phys. 3 (1969) 259