Journal ArticleDOI
Hyperspherical harmonics expansion of the ground state of the Ps - ion
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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.Abstract:
We have treated the ground state of the positronium negative ion (Ps−) by a hyperspherical harmonics expansion method in which the centre of mass motion is properly accounted for. The resulting system of coupled differential equations has been solved by the renormalized Numerov method. We find that the convergence in the Binding Energy (BE) with respect to inclusion of higher hyperspherical partial waves is quite slow for this diffuse system. Using our exact numerical results up to a maximum of 28 for the hyper angular momentum quantum number (KM) in an extrapolation formula basd on the hyperspherical convergence theorems, we get the binding energy of the ground state of Ps− as 0.261 668 9 au.read more
Citations
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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
Investigation of halo structure of 6 He by hyperspherical three-body method
Abdul Khan,Tapan Kumar Das +1 more
TL;DR: 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.
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.
Journal ArticleDOI
Production of $$\Omega NN$$ and $$\Omega \Omega N$$ in ultra-relativistic heavy-ion collisions
TL;DR: In this article , the authors discussed the production of more exotic triple baryons including triple-baryons and their decay channels, as well as their bound states and binding energies.
References
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Journal ArticleDOI
Precise nonvariational calculation of the two-photon annihilation rate of the positronium negative ion
TL;DR: A direct (nonvariational) solution of the Schroedinger equation for the ground state of the positronium negative ion is obtained with the correlation-function hyperspherical-harmonic (CFHH) method.
Journal ArticleDOI
Precise nonvariational calculation of the positronium negative ion.
TL;DR: The three-body Schroedinger equation is solved directly for the ground state of the positronium negative ion by using a rapidly convergent correlation function hyperspherical harmonic method, which involves no adjustable parameters.
Journal ArticleDOI
Convergence of the hyperspherical-harmonic expansion for two-electron atoms
Journal ArticleDOI
Possible effects of positronium negative ion on 0.511 MeV ψ-ray line in astrophysical sources
C. Sivaram,Vinod Krishan +1 more
TL;DR: The astrophysical importance of the negative positronium ion, detected recently in the laboratory, has been pointed out in this article, where it was found that the presence of Ps− ions will contribute additionally to the width of the 0.511 MeV ψ-ray line formed by pair annihilation.
Journal ArticleDOI
Convergence of triton asymptotic wave function for hyperspherical harmonics expansion with two nucleon Reid soft core potential
TL;DR: In this article, Schneider's convergence theorems on hyperspherical expansion allow one to extrapolate the results for a large number of partial waves and then they agree fairly well with the Faddeev results.
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