## This content will become publicly available on November 6, 2020

# Low-energy bound states, resonances, and scattering of light ions

## Abstract

Here, we describe bound states, resonances, and elastic scattering of light ions using a δ-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients, effective-range parameters, and phase shifts, we adjust the two parameters of the potential to some of these observables and make predictions for the nuclear systems d+α, ^{3}H+α, ^{3}He+α, α+α, and p+ ^{16}O. We identify relevant momentum scales for Coulomb halo nuclei and propose how to apply systematic corrections to the potentials. This allows us to quantify statistical and systematic uncertainties. We present a constructive criticism of Coulomb halo effective field theory and compute the unknown charge radius of ^{17}F.

- Authors:

- Tennessee Technological Univ., Cookeville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Publication Date:

- Research Org.:
- Univ. of Tennessee, Knoxville, TN (United States)

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

- OSTI Identifier:
- 1593549

- Grant/Contract Number:
- FG02-96ER40963; SC0016988; AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 2469-9985

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; cluster models; nuclear astrophysics; nuclear forces

### Citation Formats

```
Luna, Benjamin K., and Papenbrock, T. Low-energy bound states, resonances, and scattering of light ions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.100.054307.
```

```
Luna, Benjamin K., & Papenbrock, T. Low-energy bound states, resonances, and scattering of light ions. United States. doi:10.1103/PhysRevC.100.054307.
```

```
Luna, Benjamin K., and Papenbrock, T. Wed .
"Low-energy bound states, resonances, and scattering of light ions". United States. doi:10.1103/PhysRevC.100.054307.
```

```
@article{osti_1593549,
```

title = {Low-energy bound states, resonances, and scattering of light ions},

author = {Luna, Benjamin K. and Papenbrock, T.},

abstractNote = {Here, we describe bound states, resonances, and elastic scattering of light ions using a δ-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients, effective-range parameters, and phase shifts, we adjust the two parameters of the potential to some of these observables and make predictions for the nuclear systems d+α, 3H+α, 3He+α, α+α, and p+16O. We identify relevant momentum scales for Coulomb halo nuclei and propose how to apply systematic corrections to the potentials. This allows us to quantify statistical and systematic uncertainties. We present a constructive criticism of Coulomb halo effective field theory and compute the unknown charge radius of 17F.},

doi = {10.1103/PhysRevC.100.054307},

journal = {Physical Review C},

number = 5,

volume = 100,

place = {United States},

year = {2019},

month = {11}

}

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