Breakup of positronium in a collision with aLi+ion

Abstract

ABSTRACT:Fragmentation of ground state ortho Positronium ( Ps) in collision with Li ion is noted in the e energy spectrum in contrast to the sharp ELP peak for a heavy projectile. Two salient features are noted in the present study: i) the shift of the e DDCS peak (summed over + e angles) towards higher ejection energy with respect to half the residual energy of the system, ii) comparison of the e & + e energy spectra reflect a strong e -+ e asymmetry with respect to the ratio. Both these features could be attributed to the post collisional two center effect on the e due to its parent nucleus ( + e ) and the screened target ion . Two different wave functions of the Li ion are chosen in order to test the sensitivity of the present results with respect to the choice of the wave function.

A comparative study of target ionization between hydrogen and hydrogenic ion by positronium impact

“…(2)] which is supposed to be more suitable for an ionization process [12,13,15,16]. Equation (4) concerning a four body problem could not be solved exactly and as such one has to resort to some simplifying assumptions.…”

“…The final state wave function W À f [Eq. (2)] involving two bound particles (Ps) and one continuum particle is approximated by the following ansatz in the framework of Coulomb-eikonal approximation [15][16][17][18]:…”

Approximate analytical solutions to relativistic and nonrelativistic Pöschl–Teller potential with its thermodynamic properties

“…In this section, we shall study four special cases of the energy eigenvalues (32) and (38) for the p-spin and spin symmetry, respectively.…”

“…This potential has been investigated by some authors under different wave equations of quantum mechanics which include the Klein-Gordon, the Dirac and the Schrödinger equations for the vibrational ℓ = 0 and rotational ℓ = 0 states [25,26,27,28,29,30,31,32,33,34,35]. The priority purpose for studying this potential is due fact that it has been used to accounted for the physics of many systems which includes the excitons, quantum wires and quantum dots [36,37,38,39,40,41,42]. For certain ranges of parameters it behaves like the Kratzer potential.…”

Matter-wave Fractional Revivals in a Ring Waveguide

“…FR have found profound applications towards quantum information and quantum computation: quantum logic gates [10], Renyi uncertainty relations [11], wave packet isotope separation [12], number factorization [13], molecular coherent control [14], position dependent mass [15] etc. Underlying mesoscopic quantum superposition holds the secrets for developing quantum technologies and quantum precision measurements through sub-Planck scale structures [16][17][18][19][20].…”