Signature of the existence of the positronium molecule

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

doi:10.1103/physreva.58.1918

Cited by 106 publications

(89 citation statements)

References 25 publications

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“…Meanwhile, variational calculations have been pushed to higher accuracy. See, for instance, [150,155,160,161,162,163,164,165,166], and references therein. For instance, Zong-Chao Yan and Ho [166] obtained x ≃ 0.052.…”

Section: Pshmentioning

confidence: 99%

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: Pshmentioning

confidence: 99%

Stability of few-charge systems in quantum mechanics

2005

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“…We ignore the neutron-proton mass difference and consider no isospin mixing in the present study. The action of P 12 on the basis function is simple; it maintains the functional form [15,19] as follows:…”

Section: B Variational Solution With Correlated Gaussiansmentioning

confidence: 99%

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Horiuchi

Suzuki

2007

Phys. Rev. C

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The momentum distribution of relative motion between two nucleons gives information on the correlation in nuclei. The momentum distribution is calculated for both 6 He and 6 Li which are described in a three-body model of α+N +N . The ground state solution for the three-body Hamiltonian is obtained accurately using correlated basis functions. The momentum distribution depends on the potential model for the N -N interaction. With use of a realistic potential, the 6 He momentum distribution exhibits a dip around 2 fm −1 characteristic of S-wave motion. In contrast to this, the 6 Li momentum distribution is very similar to that of the deuteron; no dip appears because it is filled with the D-wave component arising from the tensor force.

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“…One example of such a particle is the positron. There has been considerable interest in the literature in small positronic systems such as HPs [5][6][7][8] and e ϩ LiH. [9][10][11][12][13] While calculations of the former system have not presented much difficulty using both finite-mass and infinite-mass approaches concerning the hydrogen nucleus, the calculations of e ϩ LiH have appeared to be much more challenging particularly when methods going beyond the BornOppenheimer approximation were employed.…”

Section: Introductionmentioning

confidence: 99%

Non-Born–Oppenheimer study of positronic molecular systems: e+LiH

Bubin

Adamowicz

2004

The Journal of Chemical Physics

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Very accurate non-Born-Oppenheimer variational calculations of the ground state of e ϩ LiH have been performed using explicitly correlated Gaussian functions with preexponential factors dependent on powers of the internuclear distance. In order to determine the positron detachment energy of e ϩ LiH and the dissociation energy corresponding to the e ϩ LiH fragmentation into HPs and Li ϩ we also calculated non-BO energies of HPs, LiH, and Li ϩ . For all the systems the calculations provided the lowest ever-reported variational upper-bounds to the ground state energies. Annihilation rates of HPs and e ϩ LiH were also computed. The dissociation energy of e ϩ LiH into HPs and Li ϩ was determined to be 0.036 548 hartree.

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Signature of the existence of the positronium molecule

Abstract: The positronium molecule (Ps 2 ) has not been experimentally observed yet because its tiny (4.

Cited by 106 publications

References 25 publications

Stability of few-charge systems in quantum mechanics

Stability of few-charge systems in quantum mechanics

Momentum distribution and correlation of two-nucleon relative motion inHe6andLi6

Non-Born–Oppenheimer study of positronic molecular systems: e+LiH

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