Second Bound State of the Positronium Molecule and Biexcitons

Varga, K.; Usukura, J.; Suzuki, Y.

doi:10.1103/physrevlett.80.1876

Cited by 86 publications

(86 citation statements)

References 18 publications

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“…Thus stability remains at least as long as y 2 ≤ 1 − (1 + x) −1 , i.e., for 18) if one accepts the value x = 0.032 for Ps 2 [151]. For comparison, a recent numerical study [161] show that the actual range of stability should be very close to 20) one can rewrite the Hamiltonian as…”

Section: Minimal Extension Of the Stability Domainmentioning

confidence: 99%

“…while Ps * 2 is found [151] to have an energy E * = −0.3344, i.e., bound by a fraction x * = 0.07, where x * is defined as in (6.5).…”

Section: Psmentioning

confidence: 99%

“…[149], corresponding to x ≃ 0.0084, has been improved by several authors. The latest (and best) values are x = 0.03186 [150] and x = 0.03201 [151]. See, also, [152,153].…”

Section: Psmentioning

confidence: 99%

“…As Ps 2 is weakly bound, one might guess that there are no bound excited states, and, indeed, for many years, no excited state was found or even searched for. However, a recent highly accurate calculation [151] indicates the existence of a state Ps * 2 with angular momentum L = 1 and negative parity. This cannot decay into two positronium atoms in their ground state, as one of the atoms should be in a state with L = 1.…”

Section: Psmentioning

confidence: 99%

“…As analysed for instance by Ho [69] and by the authors he quotes, some explicit r 12 and r 34 dependence is needed in the wave function to improve the accuracy. Such a dependence is included in all accurate variational calculations [150,151], as well as in Monte-Carlo variants [152]. As Ps 2 is weakly bound, one might guess that there are no bound excited states, and, indeed, for many years, no excited state was found or even searched for.…”

Section: Psmentioning

confidence: 99%

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Stability of few-charge systems in quantum mechanics

2005

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We consider non-relativistic systems in quantum mechanics interacting through the Coulomb potential, and discuss the existence of bound states which are stable against spontaneous dissociation into smaller atoms or ions. We review the studies that have been made of specific mass configurations and also the properties of the domain of stability in the space of masses or inverse masses. These rigorous results are supplemented by numerical investigations using accurate variational methods. A section is devoted to systems of three arbitrary charges and another to molecules in a world with two space-dimensions.

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Section: Minimal Extension Of the Stability Domainmentioning

confidence: 99%

“…while Ps * 2 is found [151] to have an energy E * = −0.3344, i.e., bound by a fraction x * = 0.07, where x * is defined as in (6.5).…”

Section: Psmentioning

confidence: 99%

“…[149], corresponding to x ≃ 0.0084, has been improved by several authors. The latest (and best) values are x = 0.03186 [150] and x = 0.03201 [151]. See, also, [152,153].…”

Section: Psmentioning

confidence: 99%

Section: Psmentioning

confidence: 99%

Section: Psmentioning

confidence: 99%

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Stability of few-charge systems in quantum mechanics

2005

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Physics with dense positronium

Cassidy

Mills²

2007

Phys. Status Solidi (c)

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Our recent experiment on Ps-Ps spin exchange quenching represents the first time that two Ps atoms have been observed interacting with each other. The implication is that experimentation on various systems containing more than one Ps atom is now possible, including the Ps 2 molecule, the Ps Bose-Einstein condensate, the Ps atom laser and the annihilation gamma ray laser. Here we describe various aspects of such research, including the development of new techniques, work currently underway and some possible future experiments.

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The quantum theory of atoms in positronic molecules: A case study on diatomic species

Goli

Shahbazian

2010

Int J of Quantum Chemistry

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This article presents the first systematic study of a series of diatomic positronic species using the recently proposed regional approach: the quantum theory of atoms in positronic molecules (QTAIPM). This survey includes the LiH,e þ , NaH,e þ , LiF,e þ , NaF,e þ , BeO,e þ , MgO,e þ , CN À ,e þ , and OH À ,e þ species as typical examples. The computational algorithm of the whole analysis is communicated and reviewed in detail. The topological analysis of the joint density distribution reveals topological structures similar to those observed for the purely electronic systems; that is, each system decomposes into two quantum atoms. By considering some of the regional properties of these quantum atoms, it is demonstrated that the positron affects them seriously through two different mechanisms: direct and indirect contributions, the latter refers to electronic and geometric relaxations. The computational results clearly reveal the fact that the regional properties of the quantum atoms of positronic molecules are not deducible from their purely electronic counterparts; thus, an independent analysis is required for each positronic molecule. The positronic population is considered as a typical regional property showing that the attachment of a positron to a purely electronic system enhances the polarization of the electronic distribution. The concept of regional positron affinities is also introduced and discussed as a nonroutine application of the QTAIPM. The results of this article set the stage for further study on the quantum atoms of polyatomic positronic species.

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Second Bound State of the Positronium Molecule and Biexcitons

Cited by 86 publications

References 18 publications

Stability of few-charge systems in quantum mechanics

Stability of few-charge systems in quantum mechanics

Physics with dense positronium

The quantum theory of atoms in positronic molecules: A case study on diatomic species

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