*Ab initio* calculations of reactions of light nuclei

## Abstract

An *ab initio* (i.e., from first principles) theoretical framework capable of providing a unified description of the structure and low-energy reaction properties of light nuclei is desirable as a support tool for accurate evaluations of crucial reaction data for nuclear astrophysics, fusion-energy research, and other applications. We present an efficient many-body approach to nuclear bound and scattering states alike, known as the *ab initio* no-core shell model with continuum. In this approach, square-integrable energy eigenstates of the A-nucleon system are coupled to (A-A)+A target-plus-projectile wave functions in the spirit of the resonating group method to obtain an efficient description of the many-body nuclear dynamics both at short and medium distances and at long ranges. We show that predictive results for nucleon and deuterium scattering on ^{4}He nuclei can be obtained from the direct solution of the Schröedinger equation with modern nuclear potentials.

- Authors:

- Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- TRIUMF, Vancouver, BC (Canada)

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1567445

- Grant/Contract Number:
- AC52-07NA27344

- Resource Type:
- Accepted Manuscript

- Journal Name:
- EPJ Web of Conferences

- Additional Journal Information:
- Journal Volume: 146; Journal ID: ISSN 2100-014X

- Publisher:
- EDP Sciences

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclear Science & Technology; Physics

### Citation Formats

```
Hupin, Guillaume, Quaglioni, Sofia, and Navrátil, Petr. Ab initio calculations of reactions of light nuclei. United States: N. p., 2017.
Web. doi:10.1051/epjconf/201714612022.
```

```
Hupin, Guillaume, Quaglioni, Sofia, & Navrátil, Petr. Ab initio calculations of reactions of light nuclei. United States. doi:10.1051/epjconf/201714612022.
```

```
Hupin, Guillaume, Quaglioni, Sofia, and Navrátil, Petr. Wed .
"Ab initio calculations of reactions of light nuclei". United States. doi:10.1051/epjconf/201714612022. https://www.osti.gov/servlets/purl/1567445.
```

```
@article{osti_1567445,
```

title = {Ab initio calculations of reactions of light nuclei},

author = {Hupin, Guillaume and Quaglioni, Sofia and Navrátil, Petr},

abstractNote = {An ab initio (i.e., from first principles) theoretical framework capable of providing a unified description of the structure and low-energy reaction properties of light nuclei is desirable as a support tool for accurate evaluations of crucial reaction data for nuclear astrophysics, fusion-energy research, and other applications. We present an efficient many-body approach to nuclear bound and scattering states alike, known as the ab initio no-core shell model with continuum. In this approach, square-integrable energy eigenstates of the A-nucleon system are coupled to (A-A)+A target-plus-projectile wave functions in the spirit of the resonating group method to obtain an efficient description of the many-body nuclear dynamics both at short and medium distances and at long ranges. We show that predictive results for nucleon and deuterium scattering on 4He nuclei can be obtained from the direct solution of the Schröedinger equation with modern nuclear potentials.},

doi = {10.1051/epjconf/201714612022},

journal = {EPJ Web of Conferences},

number = ,

volume = 146,

place = {United States},

year = {2017},

month = {9}

}

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