Accurate Born Oppenheimer potential energy curve for the hydrogen antihydrogen system

Abstract

The energy curve of the hydrogen–antihydrogen system has been calculated using the Rayleigh–Ritz variational method, with a basis of correlated Gaussian functions. The microHartree accuracy of Born–Oppenheimer energies of this system has been achieved for the first time for short internuclear distances. The new upper bound to the terminal distance of Ps binding by the p– p̄ pair has been established to be 0.744 Bohr.

Peculiar features of the interaction potential between hydrogen and antihydrogen at intermediate separations

“…6(a)) which corresponds to a state with a completely correlated e + -e − component C 0 (r 23 )D 0 (r 14 ) and the absence of the uncorrelated component A 0 (r 12 )B 0 (r 34 ). The equilibrium configuration resides in the P spp configuration, indicating the dominance of e + -e − correlation at small r. This picture is consistent with the findings of earlier variational calculations [5,6,7,8,9] and Fig. 4.…”

“…4 the potential V var (r) based on the variational calculation for the lowest-energy state of the greater (e + e − pp) system [8]. Asymptotically, the variational potential V var (r → ∞) goes to zero in energy and almost coincides with V HH (r) at large interatomic separations.…”

“…For the elastic channel, one often takes the interaction potential to be the adiabatic potential obtained in a variational calculation for the lowest-energy state of the e + and the e − in the Born-Oppenheimer potential [4,5,6,7,8,9,10]. The e + -e − correlation property of the lowest-energy adiabatic state will undergo a change as the interatomic separation changes.…”

“…One theoretical approach to study the lowest-energy state of the greater (e + e − pp) system is to use the variational method equipped with either explicitly correlated Slater-type or Gaussian-type orbitals with e + -e − correlations. This method has provided a great wealth of information regarding the lowest-energy state of the four-body system [5,6,7,8,9]. As our interest is focused on the properties of possible two-body states of the composite H andH atoms, the two-body H-H states of our interest may or may not necessarily be the lowest-energy state of the greater (e + e − pp) system.…”

Quenching of para-H2with an ultracold antihydrogen atomH¯1Sultanov1, Adhikari2, Guster3 2010Phys. Rev. A61230View full textAdd to dashboardCite

“…By now a series of theoretical works have been published, in which the properties of interaction between H and H, He, and H 2 have been investigated [12,[18][19][20]. Some theoretical studies have been carried out for the H + H system at thermal energies using quantum-mechanical methods [21][22][23][24][25][26].…”