Journal ArticleDOI
Hyperspherical harmonics expansion of the ground state of the Ps - ion
TLDR
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
More filters
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
More filters
Journal ArticleDOI
Generalized Angular Momentum in Many-Body Collisions
TL;DR: In this article, the condition for simultaneous togetherness in a 3-body collision is expressed with the help of the 6×6 grand angular momentum tensor, Λ, whose components are Λij=(mimj)12xipj−(mjmi) 12xjpi,jΛij2 must be small.
Journal ArticleDOI
Observation of the Positronium Negative Ion
TL;DR: In this article, a beam of 400-eV positrons is partially transmitted through a 40-AA{} C film in vacuum, and a new peak is observed, the energy of which can be changed by applying a voltage to a grid behind the film.
Journal ArticleDOI
Variational calculations on the helium isoelectronic sequence
TL;DR: In this article, the helium isoelectronic sequence for values of the nuclear charge $Z$ ranging from 1 to 10 was computed using 230-term wave functions, and the results illustrate the importance of using basis functions which have the same analytic structure as the exact wave function being approximated.
Journal ArticleDOI
Ground State of Systems of Three Particles with Coulomb Interaction
Journal ArticleDOI
New calculation of the properties of the positronium ion
A. K. Bhatia,Richard J. Drachman +1 more
TL;DR: In this article, the positronium negative ion Ps(-, the system composed of two electrons and a positron, has been reinvestigated theoretically using a Hylleraas wave function with two nonlinear parameters.
Related Papers (5)
The renormalized Numerov method applied to calculating bound states of the coupled‐channel Schroedinger equation
Transformation coefficients in the hyperspherical approach to the three-body problem
J. Raynal,J. Revai +1 more