Appendix Nuclear structure puzzles

Bertsch, G. F.; Zamick, Larry; Mekjian, A. Z.

doi:10.1007/3-540-09970-0_7

Cited by 5 publications

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“…There are four kinds of these operators, depending on their spin and isospin character. For the moment I will concentrate on the ordinary density, which may be expressed in terms of particle creation and annihilation operators as (2) m a position space representation, or as orbits. The first representation will be useful for deriving commutator relations and sum rules.…”

Section: § 2 Operators and Sum Rulesmentioning

confidence: 99%

The Nuclear Response Function

Bertsch

1983

Prog. Theor. Phys. Suppl.

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These lectures present the theory of the nuclear response in the Random Phase Approximation (RP A). In the first lecture, various relations are derived between densities and currents which give rise to the well-known sum rules. Then RPA is derived via the time-dependent Hartree theory. The various formulations of RP A are shown: the configuration space representation, the coordinate space representation, the Landau theory of infinite systems and the RPA for separable interactions constrained by consistency. The remarkable success of RP A in describing the collective density oscillations of closed shell nuclei is illustrated with a few examples. In the final lecture, the 11-c response is discussed with the application of simple theoretical considerations to the empirical data. Finally, we point out several problems which remain in the response theory.

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Section: § 2 Operators and Sum Rulesmentioning

confidence: 99%