Decay channels and decay rates for the hydrogen-antihydrogen quasimolecule

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.…”

“…will the rearrangement from H-H to P spp becomes more probable. In the vicinity of the "critical crossing-distance r c " between the V var (r) and the V P spp (r) curves, the Born-Oppenheimer or adiabatic approximation starts to break down [9,17]. Nevertheless, in order to rearrange H-H to become P spp as r decreases certainly required some changes in the topology of the four-body system.…”

“…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.…”

“…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.…”

Metastable compound states of an antiproton and a hydrogen atom

“…Considering that the vibrational wave function can have high amplitudes at R > R 0 for a high * sakimoto@isas.jaxa.jp vibrational state, it is expected that theHH compound state having an energy close to the dissociation limit (→H + H) can become metastable. The energy widths of such vibrational levels attributed to the breakup and annihilation reactions were calculated using the BO picture and a distorted-wave (DW) method in several theoretical studies [19][20][21]. However, Strasburger [16] found that the correction to the BO approximation would diverge when R → R 0 in theH + H system.…”