Journal ArticleDOI
Photodisintegration of3He into 3 nucleons
TLDR
In this article, the lowest hyperspherical harmonic was used to find the wave function for the 1−, isospin-3/2 state reached by E1 transitions and the Ballot-Beiner-Fabre wave function was used for the 3He ground state.Abstract:
We use the lowest hyperspherical harmonic to find the wave function for the 1−, isospin-3/2 state reached byE1 transitions. The Ballot-Beiner-Fabre wave function is used for the3He ground state. Our calculated cross-section is in agreement with Fetisov’s measurements of photodisintegration into three nucleons for photon energy from 18 to 85 MeV, but we find too low a cross-section below 18 MeV.read more
Citations
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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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
Green function and scattering amplitudes in many-dimensional space
TL;DR: In this paper, the Born approximation and the optical theorem are derived in many-dimensional space and phase-shift analyses are performed for hypercentral potentials and for non-hypercentral potentials by using the hyperspherical adiabatic approximation.
References
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Journal ArticleDOI
A smooth realistic local nucleon-nucleon force suitable for nuclear Hartree-Fock calculations
D. Gogny,P. Pires,R. de Tourreil +2 more
Journal ArticleDOI
Nuclear photoeffect on three-particle nuclei
TL;DR: In this article, it was shown that three-particle forces have very little influence on the binding energy of tritium, even for H3 and He3 nuclei.
Journal ArticleDOI
Bound-state properties of three and four nucleons with realistic forces
TL;DR: In this paper, three and four nucleon bound-state problems have been solved in the frame of the hyperspherical basis for realistic NN-potentials, and the role of different components of the potential is discussed.
Journal ArticleDOI
CXXXIV. The photo-electric disintegration of three- and four-particle nuclei
J.C. Gunn,J. Irving +1 more
TL;DR: In this paper, the two-particle and complete photo-electric disintegration cross-sections for three and fourparticle nuclei are calculated, using Gaussian and new exponential wave-functions.
Journal ArticleDOI
Photodisintegration of the Lightest Nuclei
TL;DR: In this paper, it was shown that for nuclei in which the ground state wave function is symmetric in the space coordinates of all the nucleons, the integrated bremsstrahlung-weighted cross section for electric dipole absorption is simply related to the mean square radius of the nucleus, independent of the existence of correlations between the motions of the nucleon.
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