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The positron-electron pair annihilation in two photons is known for its numerous applications using PET scanners. The decay of Positronium (Ps) from a standard sealed source in more than two photons is less likely but can be observed with a…

Physics Education · Physics 2011-09-20 M. E. A. Elbasher , W. Erasmus , E. A. M. Khaleel , J. Ndayishimye , P. Papka

The decay of ortho-positronium into three photons produces a physical realization of a pure state with three-party entanglement. Its quantum correlations are analyzed using recent results on quantum information theory, looking for the final…

Quantum Physics · Physics 2009-11-06 A. Acin , J. I. Latorre , P. Pascual

A way to construct Boltzmann entropy, i.e., the entropy as a function of a microscopic pure state, for quantum field systems is proposed. Operators that shift the field in wavevector space are used in the construction. By employing an…

Statistical Mechanics · Physics 2020-03-25 Kyo Yoshida

We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that…

Strongly Correlated Electrons · Physics 2015-05-18 D. Souza , F. Claro

We study the behavior of a Bose-Einstein condensate held in an optical lattice. We first show how a self-trapping transition can be induced in the system by either increasing the number of atoms occupying a lattice site, or by raising the…

Other Condensed Matter · Physics 2007-05-23 C. E. Creffield

Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials. The continuum energy scattering states are written in…

Quantum Physics · Physics 2022-06-20 A D Alhaidari , Y. -T. Li

Calculations of gamma spectra for positron annihilation on a selection of molecules, including methane and its fluoro-substitutes, ethane, propane, butane and benzene are presented. The annihilation gamma spectra characterise the momentum…

Atomic Physics · Physics 2012-04-18 D. G. Green , S. Saha , F. Wang , G. F. Gribakin , C. M. Surko

We briefly review the theoretical and experimental results concerning decays of positronium. Possible solutions of the "orthopositronium lifetime puzzle" are discussed. Positronium annihilation into neutrinos is examined and disagreement is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki , Savely G. Karshenboim

We present a detailed numerical study of the one-dimensional Holstein model with a view to understanding the self-trapping process of electrons or excitons in crystals with short-range particle-lattice interactions. Applying a very…

Strongly Correlated Electrons · Physics 2009-10-30 G. Wellein , H. Fehske

Electron pairing at low temperatures leads to superconductivity. A fundamental question is whether more complex states - characterized by order in four-electron composite objects, termed electron quadrupling or composite order - can exist…

Superconductivity · Physics 2026-02-23 Albert Samoilenka , Egor Babaev

The decay of the para-positronium into two photons is studied in the framework of a composite Quantum Field Theoretical approach. This amounts to the evaluation of the electron-positron dressing together with the Weinberg compositeness…

High Energy Physics - Phenomenology · Physics 2025-03-03 Milena Piotrowska , Francesco Giacosa

Calculations of the positron-Li system were performed using the Stochastic Variational Method and yielded a minimum energy of -7.53208 Hartree for the L=0 ground state. Unlike previous calculations of this system, the system was found to be…

Atomic Physics · Physics 2016-09-08 G. G. Ryzhikh , J. Mitroy

We performed quantum Monte Carlo study of the exciton-polaron model which features the self-trapping phenomenon when the coupling strength and/or particle momentum is varied. For the first time accurate data for energy, effective mass, the…

Strongly Correlated Electrons · Physics 2009-11-07 A. S. Mishchenko , N. Nagaosa , N. V. Prokof'ev , A. Sakamoto , B. V. Svistunov

The construction of positronium decay amplitudes is handled through the use of dispersion relations. In this way, emphasis is put on basic QED principles: gauge invariance and soft-photon limits (analyticity). A firm grounding is given to…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Pestieau , C. Smith , S. Trine

Quantum Monte Carlo calculations of the relaxation energy, pair-correlation function, and annihilating-pair momentum density are presented for a positron immersed in a homogeneous electron gas. We find smaller relaxation energies and…

Statistical Mechanics · Physics 2011-11-09 N. D. Drummond , P. Lopez Rios , C. J. Pickard , R. J. Needs

A new relativistic method for calculation of positron binding to atoms is presented. The method combines a configuration interaction treatment of the valence electron and the positron with a many-body perturbation theory description of…

Atomic Physics · Physics 2009-10-31 V. A. Dzuba , V. V. Flambaum , G. F. Gribakin , C. Harabati

The quantum state of an electron in a strong laser field is altered if the interaction of the electron with its own electromagnetic field is taken into account. Starting from the Schwinger-Dirac equation, we determine the states of an…

High Energy Physics - Phenomenology · Physics 2011-12-21 S. Meuren , A. Di Piazza

The comparison of different models (the Ore, spur and blob models) of positronium (Ps) formation is presented. Because in molecular media Ps is formed in the terminal positron blob and not in an ordinary spur, the application of the blob…

Chemical Physics · Physics 2009-11-07 Sergey V. Stepanov , Vsevolod M. Byakov

When recent experimental positronium (Ps) formation cross sections in noble gases have been compared with the most up-to date theoretical studies, the agreement is qualitative, but not quantitative. In this paper we re-examine this process…

Atomic Physics · Physics 2009-11-11 L. J. M. Dunlop , G. F. Gribakin

Bound state perturbation theory is well established for QED atoms. Today the hyperfine splitting of Positronium is known to $O(\alpha^7\log\alpha)$. Whereas standard expansions of scattering amplitudes start from free states, bound states…

High Energy Physics - Phenomenology · Physics 2022-02-16 Paul Hoyer