Harmonic oscillator potential insertions in particle lines
Abstract
Brueckner calculations of the binding energy of finite nuclei are usually performed with harmonic oscillator singleparticle wave functions. Therefore it is computationally more convenient to keep the oscillator potential in intermediate states and then subtract out its effects by calculating higherorder diagrams involving potential insertions in particle lines. It is found that the lowestorder diagram involving a single potential insertion in a particle line can be approximated by — κ Ū^{c.m.}, where κ is the wound integral and Ū^{c.m}. is the average over the c.m. potential energy of the pairs of particles in the nucleus which occupy relative Sstates.
 Publication:

Nuclear Physics A
 Pub Date:
 October 1971
 DOI:
 10.1016/03759474(71)904052
 Bibcode:
 1971NuPhA.174..561C