Bypassing translation factors in molecular dissociation and reactions

Journal Article · Fri May 01 04:00:00 EDT 1987 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.35.3940· OSTI ID:6090901

Macek, J; Cavagnero, M; Jerjian, K; Fano, U

Recent calculations of three-body systems have obtained correct dissociating states in a hyperspherical adiabatic framework. The hyperradius scrR, a measure of the size of the system, commutes with the kinematic rotations connecting united-atom and dissociation limits. This result has general significance. The widely discussed translation factors were included in the Born-Oppenheimer basis to compensate an intrinsic shortcoming rooted in the separation of nuclear and electronic kinetic energies. The treatment of kinetic energy in the adiabatic hyperspherical procedure eliminates the need for translation factors entirely, even though this procedure departs from the Born-Oppenheimer model only slightly in other respects.

• Research Organization: Behlen Laboratory of Physics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0111
• OSTI ID: 6090901
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 35:9; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400201* -- Chemical & Physicochemical Properties
DEUTERIDES
DEUTERIUM COMPOUNDS
DISSOCIATION
DISTANCE
ELECTRONS
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
EXCITED STATES
FERMIONS
HYDROGEN COMPOUNDS
HYDROGEN DEUTERIDE
INTERATOMIC DISTANCES
INTERATOMIC FORCES
KINETIC ENERGY
LEPTONS
MESIC MOLECULES
MOLECULES
MOTION
MUONIC MOLECULES
NUCLEI
VIBRATIONAL STATES