# Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT

## Abstract

Here, we extend the prediction range of Pionless Effective Field Theory with an analysis of the ground state of ^{16}O in leading order. To renormalize the theory, we use as input both experimental data and lattice QCD predictions of nuclear observables, which probe the sensitivity of nuclei to increased quark masses. The nuclear many-body Schrödinger equation is solved with the Auxiliary Field Diffusion Monte Carlo method. For the first time in a nuclear quantum Monte Carlo calculation, a linear optimization procedure, which allows us to devise an accurate trial wave function with a large number of variational parameters, is adopted. The method yields a binding energy of ^{4}He which is in good agreement with experiment at physical pion mass and with lattice calculations at larger pion masses. At leading order we do not find any evidence of a ^{16}O state which is stable against breakup into four ^{4}He, although higher-order terms could bind ^{16}O.

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1372952

- Alternate Identifier(s):
- OSTI ID: 1416009

- Grant/Contract Number:
- [AC02-06CH11357; FG02-04ER41338; 654002]

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters B

- Additional Journal Information:
- [Journal Name: Physics Letters B Journal Volume: 772 Journal Issue: C]; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- Netherlands

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Contessi, L., Lovato, A., Pederiva, F., Roggero, A., Kirscher, J., and van Kolck, U. Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT. Netherlands: N. p., 2017.
Web. doi:10.1016/j.physletb.2017.07.048.
```

```
Contessi, L., Lovato, A., Pederiva, F., Roggero, A., Kirscher, J., & van Kolck, U. Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT. Netherlands. doi:10.1016/j.physletb.2017.07.048.
```

```
Contessi, L., Lovato, A., Pederiva, F., Roggero, A., Kirscher, J., and van Kolck, U. Fri .
"Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT". Netherlands. doi:10.1016/j.physletb.2017.07.048.
```

```
@article{osti_1372952,
```

title = {Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT},

author = {Contessi, L. and Lovato, A. and Pederiva, F. and Roggero, A. and Kirscher, J. and van Kolck, U.},

abstractNote = {Here, we extend the prediction range of Pionless Effective Field Theory with an analysis of the ground state of 16O in leading order. To renormalize the theory, we use as input both experimental data and lattice QCD predictions of nuclear observables, which probe the sensitivity of nuclei to increased quark masses. The nuclear many-body Schrödinger equation is solved with the Auxiliary Field Diffusion Monte Carlo method. For the first time in a nuclear quantum Monte Carlo calculation, a linear optimization procedure, which allows us to devise an accurate trial wave function with a large number of variational parameters, is adopted. The method yields a binding energy of 4He which is in good agreement with experiment at physical pion mass and with lattice calculations at larger pion masses. At leading order we do not find any evidence of a 16O state which is stable against breakup into four 4He, although higher-order terms could bind 16O.},

doi = {10.1016/j.physletb.2017.07.048},

journal = {Physics Letters B},

number = [C],

volume = [772],

place = {Netherlands},

year = {2017},

month = {9}

}

DOI: 10.1016/j.physletb.2017.07.048

*Citation information provided by*

Web of Science

Web of Science