Application of the nuclear field theory to superfluid nuclei: The quasiparticle-phonon multiplet

Reinhardt, Hugo

doi:10.1016/0375-9474(80)90085-8

Cited by 6 publications

(2 citation statements)

References 15 publications

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“…particle-vibration coupling mechanism [19], [25]- [31] (within this context see footnote number 14 of [21]) was, at the time, essentially developed conceptually, mainly as the result of the Copenhagen-Buenos Aires collaboration [32]- [44] * , (within this context see also [45]- [48]) . On the other hand, its actual workings and its power and limitations had still to be tested and the associated protocols for doing so, worked out.…”

Section: Introductionmentioning

confidence: 99%

“…In particular regarding the implementation of the nuclear field theory (NFT) program. This theory, tailored after Feynman's version of QED [23,24] and based on the concept of elementary modes of excitation and of their interweaving through the particle-vibration coupling (PVC) mechanism [19,[25][26][27][28][29][30][31] (within this context see footnote number 14 of [21]) was, at the time, essentially developed conceptually, mainly as the result of the Copenhagen-Buenos Aires 13 collaboration [32 -44] (within this context see also [45][46][47][48]). On the other hand, its actual workings and its power and limitations had still to be tested and the associated protocols for doing so, worked out.…”

Section: Introductionmentioning

confidence: 99%

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Unified description of structure and reactions: implementing the nuclear field theory program

Broglia¹,

Bortignon²,

Barranco³

et al. 2016

Phys. Scr.

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Abstract. The modern theory of the atomic nucleus results from the merging of the liquid drop (Niels Bohr and Fritz Kalckar) and of the shell model (Marie Goeppert Meyer and Axel Jensen), which contributed the concepts of collective excitations and of independent-particle motion respectively. The unification of these apparently contradictory views in terms of the particle-vibration (rotation) coupling (Aage Bohr and Ben Mottelson) has allowed for an ever increasingly complete, accurate and detailed description of the nuclear structure, Nuclear Field Theory (NFT, developed by the Copenhagen-Buenos Aires collaboration) providing a powerful quantal embodiment. In keeping with the fact that reactions are not only at the basis of quantum mechanics (statistical interpretation, Max Born) , but also the specific tools to probe the atomic nucleus, NFT is being extended to deal with processes which involve the continuum in an intrinsic fashion, so as to be able to treat them on an equal footing with those associated with discrete states (nuclear structure). As a result, spectroscopic studies of transfer to continuum states could eventually use at profit the NFT rules, extended to take care of recoil effects. In the present contribution we review the implementation of the NFT program of structure and reactions, setting special emphasis on open problems and outstanding predictions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unified description of structure and reactions: implementing the nuclear field theory program

Broglia¹,

Bortignon²,

Barranco³

et al. 2016

Phys. Scr.

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Quantenfeldtheorie wechselwirkender Vielteilchensysteme zur semiklassischen Beschreibung von kollektiver Bewegung mit großen Amplituden

Reinhardt

1982

Fortschr. Phys.

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ZusammenfassungUnter Bcnutzung von Funktionalintegralmethoden wird eine kollektive Quantenfeldtheorie wcchselwirkender Vielteilchensysteme abgeleitet, deren klassischer Grenzfall durch die zeitabhangige Mean-Field-Approximation gegeben ist. Auf diese Weise wird die Mean-Field-Approximation in die volle Quantenmcchanik eingebettet und die Quantenkorrekturen zur ,,klassischen" Mean-Field-Approximation konnen systematisch berechnet werden. Unter EinschluB der dominierenden Quantenkorrekturen zur Mean-Field-Approximation wird eine semiklassische Theorie der kollektiven Bewegungen groeer Amplituden in Vielteilchensystemen, die eine stark nichtlinenre Dynamik besitzen und den konventionellen storungstheorctischen Methoden nicht zugangig sind, entwickelt. Die semiklassische Theorie wird explizit fur gebundene Zustkinde und Zerfallsprozesse ausgearbeitet. Fur gebundene Zustande fuhrt dies zur Quantisierung der nichtlinearen zeitabhangigen Hartree-Fock-Theoric, die a m Beispiel einer gleichformigen Kernrotation illustriert wird. AbstractBy using path integral methods a collective quantum field theory of interacting many-body systems is developed, the classical limit of whici is given by the time-dependent mean-field approximation. In this way the mean-field approximation is embeded into the full quantum mechanics and the quantum corzections to the "classical" mean-field approximation can be systematically evaluated. By including the dominant quantum corrections to the mean-field approximation a semiclassical theory of large amplitude collective motions in many-body-systems, which show a highly nonlinear dynamic andare not accessible to perturbation theoretical methods, is derived. Tho semiclassical theory is developed explicitly for boundstates and decay processes like nuclear fission. I n the case of bound states this leads to the quantization of the time-dependent Hartrec-Fock-Theory, which is demonstrated for a uniform nuclear rotation.

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Fermion-boson coupling model (QCVM) applied to odd Zn isotopes

et al. 1981

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Low lying energy levels and transition probabilities of 63, 65, 6VZn are calculated in the Quasicluster-vibration model (QCVM). This model is an extension of the Clustervibration model (CVM) for three-particle-cluster vibration coupling. Instead of a threeparticle cluster, now a one broken pair (number projected three quasiparticle) cluster is coupled to phonon states. It turns out that the sequence of isotopes may be described with one set of parameters, along the same line as previously used in the CVM. The resulting spectra and electromagnetic properties, for positive and negative parity states of odd Zn isotopes, compare with experimental data equally well as large shell-model calculations; this seems to justify the extension of the CVM to these nuclei with more than three particles or holes beyond a closed shell.

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Application of the nuclear field theory to superfluid nuclei: The quasiparticle-phonon multiplet

Cited by 6 publications

References 15 publications

Unified description of structure and reactions: implementing the nuclear field theory program

Unified description of structure and reactions: implementing the nuclear field theory program

Quantenfeldtheorie wechselwirkender Vielteilchensysteme zur semiklassischen Beschreibung von kollektiver Bewegung mit großen Amplituden

Fermion-boson coupling model (QCVM) applied to odd Zn isotopes

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