Two-Body Hadronic Densities From The Four-Body Wave Functions For The Hydrogen-Antihydrogen System

• The quantum-mechanical four-body problem for the hydrogen-antihydrogen system has beensolved by means of the variational implementation of the coupled-arrangement channel method.The wave functions have been formed using the Gaussian expansion method (GEM) in Jacobi co-ordinates; they explicitly include components corresponding to the rearrangement from hydrogen and antihydrogen (H + H') into Protonium and Positronium (Pn + Ps). We analyse the solutionsbelonging to the discretized spectrum of the 4-body eigenvalue problem at energies correspondingto the low energy H { Hcollisions. Two-body nuclear correlation functions are calculated from thefour-body wave functions, as to investigate the proton-antiproton motion in the region of rearrangement from H+H' to Pn+Ps. We monitor the adiabatic versus nonadiabatic behavior of the system asa function of internuclear separation and nd that outside the rearrangement region the adiabaticdescription is quite adequate. The nonadiabatic behavior signicantly in uences the nuclear motionin the rearrangement region and reduces the rate of proton-antiproton annihilation in low-energy hydrogen-antihydrogen collisions.

Subject headings

NATURVETENSKAP  -- Kemi -- Teoretisk kemi (hsv//swe)

NATURAL SCIENCES  -- Chemical Sciences -- Theoretical Chemistry (hsv//eng)

Keyword

antimatter

hydrogen-antihydrogen system

antihydrogen

Kemi med inriktning mot kvantkemi

Chemistry with specialization in Quantum Chemistry

Publication and Content Type

vet (subject category)

ovr (subject category)