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Article
Relationship Between the Proton Charge Form Factor and the Quark-Quark Interaction
We demonstrate how the parameterized proton elastic charge form factor may be used to determine the quark-quark interaction assuming a constituent-quark model of the nucleon and non-relativistic kinematics. T...
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Article
Inclusion of Final-State-Interaction Effects at Higher Energies in the Photodisintegration of the α-Particle
Final-state-interaction (FSI) effects are included in the treatment of the photodisintegration of the α-particle via the K-matrix approximation. These are applied to the exact AGS-type integral equation for this...
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Chapter and Conference Paper
Photo-Induced Reactions on 4He
The photodisintegration of the α-particle and more specifically the 4He(γ,p)3H and the 4He(γ,n)3He reactions, have been at the center of theoretical as well as experimental studies since the early fifties. Variou...
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Chapter and Conference Paper
Nuclear Transitions in Muonic Molecules
A scheme, analogous to the Linear Combination of Atomic Orbitals (LCAO), is proposed to calculate rates of reactions of nucleon-group transfer between nuclei confined in muonic molecules. As an example the rat...
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Chapter and Conference Paper
Inversion at fixed-energy for nonlocal and algebraic potentials and N-body spectral inversion
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Chapter and Conference Paper
Inversion at Fixed-Energy for Nonlocal and Algebraic Potentials and N-Body Spectral Inversion
If the local or nonlocal interaction between two particles or clusters is given we can calculate the complete set of phase shifts {δ(l, E)} for all values of the angular momentum l and energy E = ħ
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Article
Quark-quark potentials from the inversion of baryon-spectra and its application to the Roper resonance
We show that it is in principle possible to determine the quark-quark potential, in the nonrelativistic potential model, from the baryon spectrum. The method we propose is based on the fact that the lowest ord...
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Chapter and Conference Paper
The Integrodifferential Equation Approach and Some Applications
The Integrodifferential Equation Approach (IDEA) generalises the Faddeev equation from three to many-bodies, but retains its three-body like structure, due to the neglect of all N-particles correlations with ...
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Chapter and Conference Paper
Photodisintegration of 4He
The photodisintegration of 4He is calculated by employing recent integrodifferential equation techniques and an optical potential treatment of final state interaction. The results obtained reproduce the character...
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Chapter and Conference Paper
Inversion of Three-Quark Spectral Data
A method for the inversion of the spectrum of low-lying three-quark s-states within the hypercentral approximation is proposed. The procedure is a modification of the inverse spectrum method of Thacker, Quigg ...
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Chapter and Conference Paper
Phase Equivalence Between Nonlocal and Local Potentials Using Inversion and Supersymmetry
We briefly review recent work on the construction of phase equivalent local potentials to given nonlocal interactions of the Resonating Group Model type and the exact three-body Faddeev type. Direct, supersymm...
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Article
Several versions of the integro-differential equation approach to bound systems
We find that a single two-variable integro-differential equation, which includes all two-body correlations, produces results for three- and four-body bound systems in good agreement with those obtained with th...
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Article
Nonrelativistic potential model calculations for three-quark systems in the integro-differential equation approach
Employing a recently derived integro-differential equation which is equivalent to the Faddeev equation, in an adiabatic approximation, we obtain accurate lower bounds to the binding energy of three-quark syste...
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Chapter and Conference Paper
Hyperspherical Methods for Three-Quark Systems
The accuracy of the lowest order hyperspherical calculations for baryon spectra compared to Faddeev calculations and the importance of the Mixed Symmetry State for the nucleon is demonstrated. The excellent fi...
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Chapter and Conference Paper
Equivalent Local Potentials for Three-Body Scattering
The observables in three-body processes can be calculated exactly, e.g. by means of Faddeev or similar equations. As is well known, the latter may be reformulated as coupled multichannel equations of the Lippm...
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Chapter and Conference Paper
An Integro-Differential Equation Approach to Few- and Many Body Systems
It is shown that a new two-variable integro-differential equation for an A-boson bound system which takes all two-body correlations exactly into account and is exact for A = 3 and S-state projected potentials,...
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Article
Equivalent local potential for the fish bone optical potential by inversion of its phase shifts
By inversion of the fish bone optical model phase shifts for α -16O scattering we confirm the presence of a Pauli barrier in the surface region of the corresponding equivalent local potential. In the interior the...
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Chapter and Conference Paper
The equivalent local potential for the case of channel coupling by means of the inverse scattering method
As a simulation of the nuclear structure calculation of the optical model potential, a set of coupled equations was solved, in which all the potentials (diagonal and inter-channel ) were real. The resulting S-...
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Chapter and Conference Paper
Determination of nuclear optical potentials by inversion
An inversion method for the determination of nuclear optical potentials from scattering functions and elastic differential cross sections is discussed. The effect of experimental errors on the potentials is ta...
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Article
Nonlocal potentials and their exact and approximate local and velocity-dependent equivalents
We show that good approximations to the exact equivalent local potential (ELP) and dam** factor of a nonlocal Perey-Buck potential can be calculated in the partial wave WKB approximation of Horiuchi. The exa...