A representation to describe nuclear processes in the continuum

Liotta, R. J.; Maglione, E.; Sandulescu, N.; Vertse, T.

doi:10.1016/0370-2693(95)01415-2

Cited by 68 publications

(89 citation statements)

References 16 publications

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“…In our case, the identification problem is solved based on inspection of the unperturbed many-particle energy spectrum, as done in Refs. [4,5]. We show that by choosing a rotated-plus-translated contour in the complex plane, a large portion of the many-particle energy surface is free from complex-continuum states, and the basic pole configurations will never be embedded in the dense continuum.…”

Section: Introductionmentioning

confidence: 95%

“…The core-neutron interaction in 5 He may be phenomenologically modeled by the SBB (Sack, Biedenharn, and Breit) potential [33]. The SBB potential is of Gaussian type with a spin-orbit term, fitted to reproduce the neutron- 4 He scattering phase shifts. In momentum space, the SBB potential, which consists of a central part c and a spin-orbit term σ · l, reads…”

Section: B Single-particle Spectrum Of 5 Hementioning

confidence: 99%

“…The newly developed Gamow shell model offers such a possibility; see, for example, Refs. [1][2][3][4][5][6][7][8][9]. Also, the recently developed shell model embedded in the continuum [10][11][12][13] conveys similar interesting perspectives.…”

Section: Introductionmentioning

confidence: 99%

“…[4,5], was the problem of identifying the multiparticle resonances on the many-particle energy surface. Studies [4,5] related this identification problem to the problem of choosing a contour in the complex k plane, which in the case of two valence particles selects the interesting physical states from the dense distribution of continuum states. Investigators [4,5] pointed out that when using the classical triangular Berggren contour (see, e.g., Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Studies [4,5] related this identification problem to the problem of choosing a contour in the complex k plane, which in the case of two valence particles selects the interesting physical states from the dense distribution of continuum states. Investigators [4,5] pointed out that when using the classical triangular Berggren contour (see, e.g., Ref. [14]), the unperturbed two-particle energy spectrum would embed the pole configurations in a dense distribution of pole-continuum and continuum-continuum configurations, and an identification based on inspection of the zeroth-order energy spectrum was difficult.…”

Section: Introductionmentioning

confidence: 99%

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Effective interaction techniques for the Gamow shell model

2005

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We apply a contour deformation technique in momentum space to the newly developed Gamow shell model, using the drip-line nuclei 5 He, 6 He, and 7 He as test cases. A major problem in Gamow shell-model studies of nuclear many-body systems is the increasing number of many-body configurations due to the large number of resonant and complex-continuum single-particle orbits necessary to reproduce multiparticle bound and resonant states. We address this problem using two different effective operator approaches generalized to the complex momentum plane. These are the Lee-Suzuki similarity transformation method for complex interactions and the multireference perturbation theory method. We show that a combination of these two approaches results in a drastic truncation of the number of relevant configurations compared with direct diagonalization. This offers interesting perspectives for studies of weakly bound systems.

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Section: Introductionmentioning

confidence: 95%

Section: B Single-particle Spectrum Of 5 Hementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effective interaction techniques for the Gamow shell model

2005

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Berggren Basis and Completeness Relations

Michel

Płoszajczak

2021

Gamow Shell Model

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The continuum in cluster decay

Liotta

1997

Nuov Cim A

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Summary. -Microscopic calculations of cluster decay widths, which have been one of the recurrent challenges of nuclear theory for many years, require a good description of the preformed cluster in the mother nucleus. Since the cluster being emitted is formed either at the nuclear surface or beyond it, a reasonable microscopic description of the clustering requires the use of a realistic finite single-particle potential, including its continuum. In this paper, recent developments in the dynamical theories of cluster decay are reviewed with special emphasis on the influence of the continuum in the decay process.The ordinary shell models, including the BCS approach, are discussed. Also clusterlike shell model theories, which incorporate the most important effects of the continuum, are presented.By discussing diverse calculations, it is concluded that the most essential prerequisite for a realistic model of the mother nucleus is that it should correctly describe the cluster correlation in the surface region as well as the clustering at large distances. This implies, on the one side, that the proton-neutron interaction is indispensable and, on the other, that high-lying configurations, reflecting the influence of the continuum, have to be taken into account properly.I will mainly present the work that I have done in collaboration with a number of researchers, as shown in the list of references. For a recent and detailed review of this work see ref.[1], from which much of the material to be presented here is taken.The formation and decay of clusters in nuclei is a time-dependent problem. It is therefore a very difficult problem, particularly because the initial state is not well defined. One

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A representation to describe nuclear processes in the continuum

Cited by 68 publications

References 16 publications

Effective interaction techniques for the Gamow shell model

Effective interaction techniques for the Gamow shell model

Berggren Basis and Completeness Relations

The continuum in cluster decay

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