# Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei

## Abstract

We report on the computational characteristics of ab initio nuclear structure calculations in a symmetry-adapted no-core shell model (SA-NCSM) framework. We examine the computational complexity of the current implementation of the SA-NCSM approach, dubbed LSU3shell, by analyzing ab initio results for ^{6}Li and ^{12}C in large harmonic oscillator model spaces and SU(3)-selected subspaces. We demonstrate LSU3shell's strong-scaling properties achieved with highly-parallel methods for computing the many-body matrix elements. Results compare favorably with complete model space calculations and signi cant memory savings are achieved in physically important applications. In particular, a well-chosen symmetry-adapted basis a ords memory savings in calculations of states with a fixed total angular momentum in large model spaces while exactly preserving translational invariance.

- Authors:

- Academy of Sciences of the Czech Republic (ASCR), Prague (Czech Republic); Louisiana State Univ., Baton Rouge, LA (United States)
- Iowa State Univ., Ames, IA (United States)
- Louisiana State Univ., Baton Rouge, LA (United States)
- Czech Technical Univ., Prague (Czech Republic); Aerospace Research and Test Establishment, Prague (Czech Republic)
- Univ. of North Carolina, Charlotte, NC (United States)
- Univ. of Notre Dame, IN (United States)
- The Ohio State Univ., Columbus, OH (United States). Dept. of Electrical and Computer Engineering
- Old Dominion Univ., Norfolk, VA (United States)

- Publication Date:

- Research Org.:
- Ames Laboratory (AMES), Ames, IA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1326837

- Report Number(s):
- IS-J 9068

- DOE Contract Number:
- AC02-07CH11358

- Resource Type:
- Thesis/Dissertation

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Dytrych, T., Maris, Pieter, Launey, K. D., Draayer, J. P., Vary, James, Langr, D., Saule, E., Caprio, M. A., Catalyurek, U., and Sosonkina, M.
```*Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei*. United States: N. p., 2016.
Web. doi:10.2172/1326837.

```
Dytrych, T., Maris, Pieter, Launey, K. D., Draayer, J. P., Vary, James, Langr, D., Saule, E., Caprio, M. A., Catalyurek, U., & Sosonkina, M.
```*Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei*. United States. doi:10.2172/1326837.

```
Dytrych, T., Maris, Pieter, Launey, K. D., Draayer, J. P., Vary, James, Langr, D., Saule, E., Caprio, M. A., Catalyurek, U., and Sosonkina, M. Thu .
"Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei". United States. doi:10.2172/1326837. https://www.osti.gov/servlets/purl/1326837.
```

```
@article{osti_1326837,
```

title = {Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei},

author = {Dytrych, T. and Maris, Pieter and Launey, K. D. and Draayer, J. P. and Vary, James and Langr, D. and Saule, E. and Caprio, M. A. and Catalyurek, U. and Sosonkina, M.},

abstractNote = {We report on the computational characteristics of ab initio nuclear structure calculations in a symmetry-adapted no-core shell model (SA-NCSM) framework. We examine the computational complexity of the current implementation of the SA-NCSM approach, dubbed LSU3shell, by analyzing ab initio results for 6Li and 12C in large harmonic oscillator model spaces and SU(3)-selected subspaces. We demonstrate LSU3shell's strong-scaling properties achieved with highly-parallel methods for computing the many-body matrix elements. Results compare favorably with complete model space calculations and signi cant memory savings are achieved in physically important applications. In particular, a well-chosen symmetry-adapted basis a ords memory savings in calculations of states with a fixed total angular momentum in large model spaces while exactly preserving translational invariance.},

doi = {10.2172/1326837},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu Jun 09 00:00:00 EDT 2016},

month = {Thu Jun 09 00:00:00 EDT 2016}

}