Journal ArticleDOI
Generalized N-body harmonic oscillator basis functions for the hyperspherical approach
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TLDR
In this paper, the concept of harmonic oscillator functions is generalized to the multidimensional space of the N-body system and explicit expressions for these functions are found for them.About:
This article is published in Nuclear Physics.The article was published on 1976-02-09. It has received 9 citations till now. The article focuses on the topics: Anharmonicity & Quantum harmonic oscillator.read more
Citations
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Universal few-body physics and cluster formation
TL;DR: A comprehensive account of the theoretical analysis of the Efimov effect and the universal properties of three-body bound states is provided in this article, along with a review of recent experimental studies.
Journal ArticleDOI
First order of the hyperspherical harmonic expansion method
TL;DR: In this article, the properties of the L/sub m/-approximation in which only the hyperspherical harmonics of minimal order are taken into account are investigated. And the energy per particle is derived with Skyrme like forces for an infinitely heavy self-conjugate nucleus.
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Fast convergent hyperspherical harmonic expansion for three-body systems
TL;DR: In this paper, a method of acceleration of the convergence of the hyperspherical harmonic expansion, which allows very accurate direct solution of nonrelativistic three body equations, is presented.
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Exact solution of coupled equations and the hyperspherical formalism: Calculation of expectation values and wavefunctions of three Coulomb-bound particles
M. I. Haftel,V.B Mandelzweig +1 more
TL;DR: In this article, an explicit form of the solution of the one-dimensional hyperspherical matrix equation corresponding to the three-body Coulomb problem is found and used to obtain Schroedinger and Faddeev bound state wavefunctions, correlation integrals, and probabilities of different states.
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Beyond the first order of the Hyperspherical Harmonic Expansion Method
TL;DR: In this paper, the authors demonstrate the inadequacy of the first order of the Hyperspherical Harmonic Expansion Method, the Lm approximation, for the calculation of the binding energies, charge form factors and charge densities of doubly magic nuclei like 16O and 40Ca.
References
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Equilibrium deformation calculations of the ground state energies of 1p shell nuclei
TL;DR: In this paper, the equilibrium ground state energies of the 1p shell nuclei are calculated by diagonalizing the full many-particle Hamiltonian with saturating forces in an M, rather than J, Slater determinant representation.
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Variational calculations on a simple triton model using a complete hyperspherical function basis
TL;DR: In this article, a denumerable, complete and orthonormal set of functions is constructed using a denervable, complete, and orthogonal set of hyperspherical harmonics.
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Four‐Body Problem: A Complete System of Angular Functions
TL;DR: In this paper, a complete set of angular functions for the four-body problem is given and the transformation properties of the functions are given and hence a matrix representation of the permutation group on four objects is explicitly specified.
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Do three α-particles make a 12C?☆
TL;DR: In this article, the binding energy of three α-particles interacting via the empirical α-α potential has been investigated, and it has been shown that the model of 12 C does not converge.
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Coordinates and Democracy in the N‐Body Problem
TL;DR: In this paper, it was shown that the construction of democratic subgroups of O3N−3 in the N−body problem is greatly facilitated by the proper choice of relative vectors in the center of mass frame.