Approximate treatment of the nucleon-nucleus interaction in the resonating-group formulation

Kaneko, T.; LeMere, M.; Tang, Y.C.

doi:10.1103/physrevc.44.1588

Cited by 33 publications

(19 citation statements)

References 24 publications

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“…We have considered 100 equidistant points in [0,12] and the computed ground state is depicted in Fig. 3, while the corresponding eigenvalue was found equal to -24.07644, in agreement with previous calculations [2].…”

Section: Non-local Schrödinger Equation For the N + α Systemsupporting

confidence: 70%

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Artificial neural network methods in quantum mechanics

Lagaris

Likas

Fotiadis

1997

Computer Physics Communications

153

119

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In a previous article [1] we have shown how one can employ Artificial Neural Networks (ANNs) in order to solve non-homogeneous ordinary and partial differential equations. In the present work we consider the solution of eigenvalue problems for differential and integrodifferential operators, using ANNs. We start by considering the Schrödinger equation for the Morse potential that has an analytically known solution, to test the accuracy of the method. We then proceed with the Schrödinger and the Dirac equations for a muonic atom, as well as with a non-local Schrödinger integrodifferential equation that models the n + α system in the framework of the resonating group method. In two dimensions we consider the well studied [2] Henon-Heiles Hamiltonian and in three dimensions the model problem of three coupled anharmonic oscillators. The method in all of the treated cases proved to be highly accurate, robust and efficient. Hence it is a promising tool for tackling problems of higher complexity and dimensionality.

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Section: Non-local Schrödinger Equation For the N + α Systemsupporting

confidence: 70%

“…This describes the n + α system and is derived in the framework of the Resonating Group Method [12], µ is the system's reduced mass given by:…”

Section: Non-local Schrödinger Equation For the N + α Systemmentioning

confidence: 99%

Artificial neural network methods in quantum mechanics

Lagaris

Likas

Fotiadis

1997

Computer Physics Communications

153

119

View full text Add to dashboard Cite

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“…(14),V d i is the direct part of the folding potential; V ex i , the exchange part; andˆ , the projection operator to the Pauli forbidden states. For the exchange partV ex i , we apply the "knock on" exchange kernel [43], which has a nonlocality and includes only the Fock term. The functional forms ofV d i andV ex i in the coordinate space are then expressed as follows:…”

Section: A the Core-n And N-n Interactionsmentioning

confidence: 99%

Study of oxygen isotopes andN=8isotones with an extended cluster-orbital shell model

2006

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We attempt to obtain a unified description of the bound and unbound states of multivalence nucleons of a core system in the framework of the cluster-orbital shell model (COSM). In this framework, the interaction between the core and a valence nucleon (the core-N interaction) is treated microscopically, and the changes in both the core structure and the core-N interaction are discussed on the same basis. Furthermore, the center-of-mass motion of every nucleon is completely eliminated, and higher shell configurations, including unbound continuum components, are appropriately taken into account by applying a stochastic variational approach. To examine the reliability of this approach and to discuss how the dynamics of the core reflects to the total system, we study oxygen isotopes and N = 8 isotones, which are described by 16 O + Xn and 16 O + Xp models, respectively.

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“…V d i is the direct andV ex i exchange part of an approximate approach of the folding potential [8]. For the nucleon-nucleon interaction, we use the Volkov No.2 potential [9].…”

Section: M-scheme Cluster-orbital Shell Modelmentioning

confidence: 99%

Effect of Expansion of the Core to the Nuclear Radius in Oxygen Isotopes

Masui

Katō²,

Ikeda³

2014

Proceedings of the 12th Asia Pacific Physics Conference (APPC12)

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We study nuclear sizes and a mechanism of the sudden change of the radius at 23 O by using the cluster-orbital shell model approach. The overall agreement of the calculated radii to those obtained by the experiments is good. The key mechanism is that two different configurations contribute the nuclear size, and the Pauli-blocking effect makes a selection of a particular configuration of the core. As a consequence, the sudden change at 23 O is qualitatively reproduced.

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Approximate treatment of the nucleon-nucleus interaction in the resonating-group formulation

Cited by 33 publications

References 24 publications

Artificial neural network methods in quantum mechanics

Artificial neural network methods in quantum mechanics

Study of oxygen isotopes andN=8isotones with an extended cluster-orbital shell model

Effect of Expansion of the Core to the Nuclear Radius in Oxygen Isotopes

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