Series of resonance states of muonic molecules

Journal Article · Tue Oct 31 23:00:00 EST 1989 · Physical Review (Section) A: General Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevA.40.4863· OSTI ID:5354567

Shimamura, I ^[1]

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1. RIKEN, Hirosawa, Wako, Saitama 351-01 (Japan) Daresbury Laboratory, Science and Engineering Research Council, Warrington WA44AD, (England)

Two infinite series of resonance states of muonic molecular ions ({ital pp}{mu}){sup +} and their isotopes converging to the dissociation limit {ital n}=2 are theoretically studied within nonrelativistic quantum mechanics. These resonance states are supported by the attractive long-range dipole potential originating from the linear Stark effect and behaving as {ital R}{sup {minus}2}. The positions {epsilon}{sub {ital v}} ({ital v}=0,1,2,. . .) of the resonances relative to the dissociation threshold satisfy a simple power law {epsilon}{sub {ital v}}=A{alpha}{sup v} for high {ital v}, the constant {alpha} being easily calculable in terms only of the total angular momentum and the masses of the nuclei and the muon. The size of a muonic molecule in a state {epsilon}{sub {ital v}} is {similar to}10{sup {minus}8} cm/(4 {radical}{vert bar}{epsilon}{sub {ital v}} (eV){vert bar} ), which is comparable to (or even larger than) the size of ground-state electronic molecules if the resonance lies within a fraction of an electron volt from the dissociation threshold. The theory is useful in the classification of resonances in muonic molecules. The systems ({ital dt}{mu}){sup +} and ({ital dd}{mu}){sup +} are analyzed as examples.

• OSTI ID: 5354567
• Journal Information: Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:9; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

640302 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
640303* -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
74 ATOMIC AND MOLECULAR PHYSICS
DEUTERIUM
DEUTERIUM TRITIDE
DISSOCIATION
ELECTRONIC STRUCTURE
ENERGY
ENERGY-LEVEL TRANSITIONS
EXCITATION
HYDROGEN COMPOUNDS
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
MESIC MOLECULES
MOLECULES
MUON-CATALYZED FUSION
MUONIC MOLECULES
NUCLEAR REACTIONS
NUCLEI
NUCLEOSYNTHESIS
ODD-ODD NUCLEI
STABLE ISOTOPES
SYNTHESIS
THERMONUCLEAR REACTIONS
THRESHOLD ENERGY
TRITIDES
TRITIUM COMPOUNDS