Journal ArticleDOI
Investigation of halo structure of 6 He by hyperspherical three-body method
Abdul Khan,Tapan Kumar Das +1 more
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In this article, a repulsive part is introduced in the interaction between the core and the extra-core neutron, to simulate Pauli principle, and two neutron separation energy, r.m.s. radii, correlation factor and probability density distributions have been calculated.Abstract:
Hyperspherical harmonics expansion method is applied to a three-body model of two neutron halo nuclei. Convergence of the expansion has been ensured. A repulsive part is introduced in the interaction between the core and the extra-core neutron, to simulate Pauli principle. Two neutron separation energy, r.m.s. radii, correlation factor and probability density distributions have been calculated for 6He. It is found that the convergence of the two neutron separation energy is relatively slow, while other quantities reach convergence quickly.read more
Citations
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Computation of 2+ resonance in 6He: Bound state in the continuum
TL;DR: In this article, the 2+ resonance state of 6He in a three-body model (4He + n + n) was calculated by adopting a novel theoretical technique, where hyperspherical harmonics were used to obtain a shallow well followed by a low and wide barrier, which effectively traps the system in a sharp resonant state and facilitates calculation of the resonance energy accurately.
Journal ArticleDOI
Hyperspherical three-body calculation for muonic atoms
TL;DR: In this paper, the ground state energies of exotic three-body atomic systems consisting two muons and a positively charged nucleus have been calculated using hyperspherical harmonics expansion (HHE) method.
Journal ArticleDOI
Calculation of resonances in weakly bound systems
TL;DR: In this paper, a new technique to calculate the position and width of weak resonant states in weakly bound systems, using isospectral potentials, was proposed, which has desirable properties which make the calculation of the resonance simpler and more accurate.
Journal ArticleDOI
Hyperspherical Three-Body Calculation for Exotic Atoms
TL;DR: In this paper, ground state energies of atomic three-body systems like negatively charged hydrogen, normal helium, positively charged-lithium, beryllium, carbon, oxygen, neon and negatively charged exotic muonium and positronium atoms have been calculated adopting hyperspherical harmonics expansion method.
Journal ArticleDOI
Low-Lying S-States of Two-Electron Systems
TL;DR: In this article, hyperspherical harmonics expansion method has been applied for two-electron ions 1H− (Z = 1) to 40Ar16+ (Z= 18), negatively charged-muonium Mu− and exotic positronium ion Ps−(e+e−e−) considering purely Coulomb interaction.
References
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Journal ArticleDOI
Effect of two-pion-exchange three-nucleon forces on trinucleon bound systems
TL;DR: In this paper, the contributions of the two-pion exchange three-body force mediated by the Δ (1232 MeV) resonance to the trinucleon ground state were calculated.
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Numerical-differentiation approach for the ground state of the He atom
TL;DR: In this article, the ground state of the He atom is matched by repeated applications of Newton's correction method, and the results obtained show that a very large number of coupled terms are required to obtain a good convergence of the ground-state energy.
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Quark-quark potentials from the inversion of baryon-spectra and its application to the Roper resonance
TL;DR: In this paper, it was shown that the lowest order of the hyperspherical-harmonic expansion method, the hypercentral approximation, is an excellent approximation for confining quark-quark potentials.
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Hyperspherical three-body calculation for neutron drip-line nuclei
TL;DR: In this article, the hyperspherical harmonics expansion method is applied to a three-body model of two-neutron halo nuclei and the convergence of the expansion has been ensured.
Journal ArticleDOI
Hyperspherical harmonics expansion of the ground state of the Ps - ion
TL;DR: In this article, the ground state of the positronium negative ion (Ps−) was treated by a hyperspherical harmonics expansion method in which the center of mass motion was properly accounted for.