Precise nonvariational calculation of the two-photon annihilation rate of the positronium negative ion

Journal Article · Mon Feb 01 04:00:00 EST 1993 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.47.911· OSTI ID:7013580

Krivec, R ^[1]; Stefan, J ^[2]; Haftel, M I ^[3]; Mandelzweig, V B ^[4]

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1. Physics Department, Hebrew University, Jerusalem 91904 (Israel)
2. Institute, P.O. Box 100, Jamova 39,61111 Ljubljana ( ) Max-Planck-Institut fuer Kernphysik, Postfach 103980, 6900 Heidelberg (Germany)
3. Code 4651, Naval Research Laboratory, Washington, D.C. 20375 (United States)
4. Physics Department, Hebrew University, Jerusalem 91904 (Israel) Max-Planck-Institut fuer Kernphysik, Postfach 103980, 6900 Heidelberg (Germany)

A direct (nonvariational) solution of the Schroedinger equation for the ground state of the positronium negative ion is obtained with the correlation-function hyperspherical-harmonic (CFHH) method. Given the proper correlation function chosen from physical considerations, the CFHH method generates wave functions accurate in the whole range of interparticle distances that lead, in turn, to precise estimates of the expectation values of the Hamiltonian and of different functions of interparticle distances. The correlation function used was chosen to have proper electron-positron and electron-electron cusps as well as asymptotic behavior. The inclusion of 225 hyperspherical functions yields the nonextrapolated ground-state energy value of 0.262 005 058 atomic units, which is lower than the nonextrapolated energy values 0.262 004 895 and 0.262 005 056 calculated in works of Ho [J. Phys. B 16, 1503 (1983)] and Bhatia and Drachman [Phys. Rev. A 28, 2523 (1983)] but higher than the best variational value 0.262 005 069 obtained by Petenlenz and Smith [Phys. Rev. A 36, 5125 (1987)]. The accuracy of our value of 2.086 10 [plus minus]0.000 06 nsec[sup [minus]1] for the two-photon annihilation rate is higher by an order of magnitude than obtained in the previous literature.

• OSTI ID: 7013580
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 47:2; ISSN PLRAAN; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

664500* -- Special Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ANNIHILATION
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
BASIC INTERACTIONS
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
EIGENVALUES
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
FERMIONS
FUNCTIONS
GROUND STATES
HAMILTONIANS
INTERACTIONS
LEPTONS
MATHEMATICAL OPERATORS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
POSITRONIUM
POSITRONS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
WAVE EQUATIONS
WAVE FUNCTIONS