On the energy-shell contributions of the three-particle~-~ three-hole excitations

Details On the energy-shell contributions of the three-particle~-~ three-hole excitations On the energy-shell contributions of the three-particle~-~ three-hole excitations

1994-01-14

arxiv.org/abs/nucl-th/9401013v1

Phys.Rev.C49:1949-1954,1994

Physics

Nuclear Physics

Nuclear Theory

12 pages text (LaTex) and 1 figure included, to be published in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.49.1949

The response functions for the extended second and third random phase approximation are compared. A second order perturbation calculation shows that the first-order amplitude for the direct $3p3h$ excitation from the ground state cancels with those that are engendered by the $1p1h$-$3p3h$ coupling. As a consequence nonvanishing $3p3h$ effects to the $1p1h$ response involve off energy shell renormalization only. On shell $3p3h$ processes are absent.

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