## Topics:

The overarching theme of my main work has been tackling complicated quantum many-body problems, describing experiment and making predictions for real (i.e., not model) systems.

- atomic and molecular diagrammatic many-body theory;
- theory of low-energy antimatter (positron and positronium) interactions with atoms and molecules;
- theory of atomic and molecular collisions;
- quantum chaos;
- theory of ultraintense-laser matter interactions.
- computational quantum many-body physics & quantum chemistry; including development of B-spline and Gaussian basis approaches, ab initio GW/Bethe-Salpeter methods and beyond.

## Preprints/under review

- Many-body theory calculations of positronic-bonded molecular dianions

J. P. Cassidy, J. Hofierka, B. Cunningham, C. M. Rawlins, and**D. G. Green**(under review

- Many-body Theory Calculations of Positron Binding to Halogenated Hydrocarbons

J. P. Cassidy, J. Hofierka, B. Cunningham, C. M. Rawlins, C. H. Patterson, and**D. G. Green**

arXiv:2303.05359

- Positron binding in HCN

J. Hofierka, B. Cunningham and**D. G. Green**(under review).

- B-Spline basis Hartree-Fock method for arbitrary central potentials: atoms, clusters and electron gas

D. T. Waide,**D. G. Green**and G. F. Gribakin, arXiv:2108.05850 (under review). - Self annihilation of confined positronium, A. R. Swann,
**D. G. Green**and G. F. Gribakin, arXiv:2108.01966.

- Positron annihilation with core and valence electrons,
**D. G. Green**and G. F. Gribakin, arXiv:1502.08045.

## Many-body theory/antimatter interactions with atoms and molecules

Many-body theory calculations of positron scattering and annihilation in H2, N2 and CH4,

C. M. Rawlins*, J. Hofierka*, B. Cunningham, C. H. Patterson and **D. G. Green** (*) joint-first authors

arXiv:2303.02083, *Phys. Rev. Lett. *130, 263001 (2023) [open access]

Many-body theory for positronium scattering and pickoff annihilation in noble-gas atoms,

A. R. Swann, **D. G. Green**, G. F. Gribakin, arXiv:2105.06749, *Phys. Rev. A ***107**, 042802 (2023) [Open Access]

Positron cooling via inelastic collisions in CF4 and N2 gases,

A. R. Swann and **D. G. Green**, arXiv:2105.06904, *Phys. Rev. Lett.* **130** 033001 (2023).

Many-body theory of positron binding in polyatomic molecules

J. Hofierka, B. Cunningham, C. M. Rawlins, C. H. Patterson, **D. G. Green, ****Nature****606**, 688 (2022) [open access].

BSHF: A program to solve the Hartree–Fock equations for arbitrary central potentials using a B-spline basis,

D. T. Waide, **D. G. Green**, G. F. Gribakin, *Comput. Phys. Commun.* **250**, 107112 (2020).

Many-body theory for positronium-atom interactions, **D. G. Green**, A. R. Swann, and G. F. Gribakin, *Phys. Rev. Lett.* **120**, 183402 (2018)

Probing positron cooling in noble gases via annihilation γ spectra, **D. G. Green**, *Phys. Rev. Lett.* **119**, 203404 (2017).

Positron cooling and annihilation in noble gases, **D. G. Green**, *Phys. Rev. Lett.* **119**, 203403 (2017).

Comment on “Gamma-ray spectra from low-energy positron annihilation processes in molecules, **D. G. Green** and G. F. Gribakin, *Phys. Rev. A* **95**, 036701 (2017).

γ-ray spectra and enhancement factors for positron annihilation spectra with core-electrons**D. G. Green** and G. F. Gribakin, *Phys. Rev. Lett.* **114**, 093201 (2015).

Positron scattering and annihilation on noble gas atoms**D. G. Green**, J. A. Ludlow, G. F. Gribakin, *Phys. Rev. A* **90**, 032712 (2014).

Positron scattering and annihilation in hydrogen-like ions**D. G. Green**, G. F. Gribakin, *Phys. Rev. A* **88**, 032708 (2013).

Effect of positron-atom interactions on the annihilation gamma spectra of molecules, **D. G. Green,** S. Saha, F. Wang, G. F. Gribakin and C. M. Surko, *New. J. Phys.* 14, 035021 (2012).

“Calculation of gamma spectra for positron annihilation on molecules”, **D. G. Green**, S. Saha, F. Wang, G. F. Gribakin, and C. M. Surko, ** Mat. Sci. Forum 666**, 21 (2010).

## Ultraintense laser-plasma interactions

(my close collaborator and friend in this work, Chris Harvey, who was a Research Fellow of similar age, is deceased).

SIMLA: Simulating laser-particle interactions via classical and quantum electrodynamics**D. G. Green** and C. N. Harvey, *Comput. Phys. Commun.* 1**92, **313(2015).

Transverse spreading of electrons in high-intensity laser fields**D. G. Green** and C. N. Harvey, *Phys. Rev. Lett. ***112**, 164801 (2014).

“Numerical modelling of Compton scattering in ultra-intense laser pulses”,

C. N. Harvey and **D. G. Green**, *J. Phys. Conf. Ser. *594, 012052 (2015).

## Atomic and Molecular collisions, cold molecules and quantum chaos

The approach to chaos in ultracold atomic and molecular physics: statistics of near-threshold bound states for Li+CaH and Li+CaF

M. D. Frye, M. Morita, C. L. Vaillant, **D. G. Green**, Jeremy M. Hutson*Phys. Rev. A* **93**, 052713 (2016)

Quantum chaos in ultracold collisions between Yb(1S0) and Yb(3P2)**D. G. Green**, C. L. Vaillant, M. D. Frye, M. Morita, J. M. Hutson*Phys. Rev. A* **93**, 022703 (2016).

## Chapters in Books

**D. G. Green** and G. F. Gribakin, Enhancement factors for positron annihilation on valence and core orbitals of noble-gas atoms. In: Y. Wang, M. Thachuk, R. Krems, and J. Maruani (eds.), *Concepts, Methods and Applications of Quantum Systems in Chemistry and Physics*, Progress in Theoretical Chemistry and Physics, vol. 31 (Springer, 2018), pp. 243-263. arXiv:1703.06980 ; Original publication

**Other publications**

**A Quantised Cyclin-Based Cell Cycle Model**

C. Emerson, L. Bennie, N. M. Byrne, D. G. Green, F. J. Currell, J. A. Coulter, *Journal of Biotechnology and Biomedicine*, accepted (2023).