## This content will become publicly available on February 20, 2020

## Constraining nuclear matter parameters with GW170817

## Abstract

The tidal measurement of gravitational waves from the binary neutron star merger event GW170817 allows us to probe nuclear physics that suffers less from astrophysical systematics compared to neutron star radius measurements with electromagnetic wave observations. Recent research found strong correlation among neutron-star tidal deformabilities and certain combinations of nuclear parameters associated with the equation of state. These relations were then used to derive bounds on such parameters from GW170817 assuming that the relations and neutron star masses are known exactly. In this work, we expand on this important work by taking into account a few new considerations: (1) a broader class of equations of state; (2) correlations with the mass-weighted tidal deformability that was directly measured with GW170817; (3) how the relations depend on the binary mass ratio; (4) the uncertainty from equation of state variation in the correlation relations; (5) adopting the updated posterior distribution of the tidal deformability measurement from GW170817. Upon these new considerations, we find GW170817 90% confidence intervals on nuclear parameters (the incompressibility K _{0}, its slope M _{0}, and the curvature of symmetry energy K _{sym,0} at nuclear saturation density) to be 81 MeV ≤K _{0} ≤362 MeV, 1556 MeV ≤M _{0} ≤more »

- Authors:

- Univ. of Virginia, Charlottesville, VA (United States)
- Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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

- OSTI Identifier:
- 1505302

- Grant/Contract Number:
- AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 4; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Carson, Zack, Steiner, Andrew W., and Yagi, Kent. Constraining nuclear matter parameters with GW170817. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.043010.
```

```
Carson, Zack, Steiner, Andrew W., & Yagi, Kent. Constraining nuclear matter parameters with GW170817. United States. doi:10.1103/PhysRevD.99.043010.
```

```
Carson, Zack, Steiner, Andrew W., and Yagi, Kent. Wed .
"Constraining nuclear matter parameters with GW170817". United States. doi:10.1103/PhysRevD.99.043010.
```

```
@article{osti_1505302,
```

title = {Constraining nuclear matter parameters with GW170817},

author = {Carson, Zack and Steiner, Andrew W. and Yagi, Kent},

abstractNote = {The tidal measurement of gravitational waves from the binary neutron star merger event GW170817 allows us to probe nuclear physics that suffers less from astrophysical systematics compared to neutron star radius measurements with electromagnetic wave observations. Recent research found strong correlation among neutron-star tidal deformabilities and certain combinations of nuclear parameters associated with the equation of state. These relations were then used to derive bounds on such parameters from GW170817 assuming that the relations and neutron star masses are known exactly. In this work, we expand on this important work by taking into account a few new considerations: (1) a broader class of equations of state; (2) correlations with the mass-weighted tidal deformability that was directly measured with GW170817; (3) how the relations depend on the binary mass ratio; (4) the uncertainty from equation of state variation in the correlation relations; (5) adopting the updated posterior distribution of the tidal deformability measurement from GW170817. Upon these new considerations, we find GW170817 90% confidence intervals on nuclear parameters (the incompressibility K0, its slope M0, and the curvature of symmetry energy Ksym,0 at nuclear saturation density) to be 81 MeV ≤K0 ≤362 MeV, 1556 MeV ≤M0 ≤ 4971 MeV, and -259 MeV ≤Ksym, 0 ≤32 MeV, which are more conservative than previously found with systematic errors more properly taken into account.},

doi = {10.1103/PhysRevD.99.043010},

journal = {Physical Review D},

number = 4,

volume = 99,

place = {United States},

year = {2019},

month = {2}

}