# Calculation of positron binding energies using the generalized any particle propagator theory

## Abstract

We recently extended the electron propagator theory to any type of quantum species based in the framework of the Any-Particle Molecular Orbital (APMO) approach [J. Romero, E. Posada, R. Flores-Moreno, and A. Reyes, J. Chem. Phys. 137, 074105 (2012)]. The generalized any particle molecular orbital propagator theory (APMO/PT) was implemented in its quasiparticle second order version in the LOWDIN code and was applied to calculate nuclear quantum effects in electron binding energies and proton binding energies in molecular systems [M. Díaz-Tinoco, J. Romero, J. V. Ortiz, A. Reyes, and R. Flores-Moreno, J. Chem. Phys. 138, 194108 (2013)]. In this work, we present the derivation of third order quasiparticle APMO/PT methods and we apply them to calculate positron binding energies (PBEs) of atoms and molecules. We calculated the PBEs of anions and some diatomic molecules using the second order, third order, and renormalized third order quasiparticle APMO/PT approaches and compared our results with those previously calculated employing configuration interaction (CI), explicitly correlated and quantum Montecarlo methodologies. We found that renormalized APMO/PT methods can achieve accuracies of ∼0.35 eV for anionic systems, compared to Full-CI results, and provide a quantitative description of positron binding to anionic and highly polar species. Third ordermore »

- Authors:

- Department of Chemistry, Universidad Nacional de Colombia, Av. Cra. 30 #45-03, Bogotá (Colombia)
- Departamento de Química, Universidad de Guadalajara, Blvd. Marcelino García Barragán 1421, Guadalajara Jal., C. P. 44430 (Mexico)
- Instituto de Física, Universidade de São Paulo, CP 66318, 05315-970 São Paulo, SP (Brazil)
- (Brazil)

- Publication Date:

- OSTI Identifier:
- 22308395

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Chemical Physics

- Additional Journal Information:
- Journal Volume: 141; Journal Issue: 11; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; 97 MATHEMATICAL METHODS AND COMPUTING; ACCURACY; AMINO ACIDS; ANIONS; ATOMS; DNA; ELECTRONS; MOLECULAR ORBITAL METHOD; MOLECULES; MONTE CARLO METHOD; NUMERICAL ANALYSIS; PARTICLES; POSITRONS; PROTONS

### Citation Formats

```
Romero, Jonathan, Charry, Jorge A., Flores-Moreno, Roberto, Varella, Márcio T. do N., Reyes, Andrés, E-mail: areyesv@unal.edu.co, and Instituto de Física, Universidade de São Paulo, CP 66318, 05315-970 São Paulo, SP.
```*Calculation of positron binding energies using the generalized any particle propagator theory*. United States: N. p., 2014.
Web. doi:10.1063/1.4895043.

```
Romero, Jonathan, Charry, Jorge A., Flores-Moreno, Roberto, Varella, Márcio T. do N., Reyes, Andrés, E-mail: areyesv@unal.edu.co, & Instituto de Física, Universidade de São Paulo, CP 66318, 05315-970 São Paulo, SP.
```*Calculation of positron binding energies using the generalized any particle propagator theory*. United States. doi:10.1063/1.4895043.

```
Romero, Jonathan, Charry, Jorge A., Flores-Moreno, Roberto, Varella, Márcio T. do N., Reyes, Andrés, E-mail: areyesv@unal.edu.co, and Instituto de Física, Universidade de São Paulo, CP 66318, 05315-970 São Paulo, SP. Sun .
"Calculation of positron binding energies using the generalized any particle propagator theory". United States. doi:10.1063/1.4895043.
```

```
@article{osti_22308395,
```

title = {Calculation of positron binding energies using the generalized any particle propagator theory},

author = {Romero, Jonathan and Charry, Jorge A. and Flores-Moreno, Roberto and Varella, Márcio T. do N. and Reyes, Andrés, E-mail: areyesv@unal.edu.co and Instituto de Física, Universidade de São Paulo, CP 66318, 05315-970 São Paulo, SP},

abstractNote = {We recently extended the electron propagator theory to any type of quantum species based in the framework of the Any-Particle Molecular Orbital (APMO) approach [J. Romero, E. Posada, R. Flores-Moreno, and A. Reyes, J. Chem. Phys. 137, 074105 (2012)]. The generalized any particle molecular orbital propagator theory (APMO/PT) was implemented in its quasiparticle second order version in the LOWDIN code and was applied to calculate nuclear quantum effects in electron binding energies and proton binding energies in molecular systems [M. Díaz-Tinoco, J. Romero, J. V. Ortiz, A. Reyes, and R. Flores-Moreno, J. Chem. Phys. 138, 194108 (2013)]. In this work, we present the derivation of third order quasiparticle APMO/PT methods and we apply them to calculate positron binding energies (PBEs) of atoms and molecules. We calculated the PBEs of anions and some diatomic molecules using the second order, third order, and renormalized third order quasiparticle APMO/PT approaches and compared our results with those previously calculated employing configuration interaction (CI), explicitly correlated and quantum Montecarlo methodologies. We found that renormalized APMO/PT methods can achieve accuracies of ∼0.35 eV for anionic systems, compared to Full-CI results, and provide a quantitative description of positron binding to anionic and highly polar species. Third order APMO/PT approaches display considerable potential to study positron binding to large molecules because of the fifth power scaling with respect to the number of basis sets. In this regard, we present additional PBE calculations of some small polar organic molecules, amino acids and DNA nucleobases. We complement our numerical assessment with formal and numerical analyses of the treatment of electron-positron correlation within the quasiparticle propagator approach.},

doi = {10.1063/1.4895043},

journal = {Journal of Chemical Physics},

issn = {0021-9606},

number = 11,

volume = 141,

place = {United States},

year = {2014},

month = {9}

}