# Realistic calculations for $c$ coefficients of the isobaric mass multiplet equation in $1p0f$ shell nuclei

## Abstract

We present calculations for the c coefficients of the isobaric mass multiplet equation for nuclei from A = 42 to A = 54 based on input from three realistic nucleon-nucleon interactions. We demonstrate that there is a clear dependence on the short-range charge-symmetry-breaking (CSB) part of the strong interaction and that there is significant disagreement in the CSB part between the commonly used CD-Bonn, chiral effective field theory at next-to-next-to-next-to-leading-order, and Argonne V18 nucleon-nucleon interactions. In addition, we show that all three interactions give a CSB contribution to the c coefficient that is too large when compared to experiment.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1409938

- Alternate Identifier(s):
- OSTI ID: 1377124

- Report Number(s):
- LLNL-JRNL-701385

Journal ID: ISSN 2469-9985; PRVCAN

- Grant/Contract Number:
- AC52-07NA27344; SCW0498

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 2; Journal ID: ISSN 2469-9985

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS

### Citation Formats

```
Ormand, W. E., Brown, B. A., and Hjorth-Jensen, M.
```*Realistic calculations for c coefficients of the isobaric mass multiplet equation in 1p0f shell nuclei*. United States: N. p., 2017.
Web. doi:10.1103/PhysRevC.96.024323.

```
Ormand, W. E., Brown, B. A., & Hjorth-Jensen, M.
```*Realistic calculations for c coefficients of the isobaric mass multiplet equation in 1p0f shell nuclei*. United States. doi:10.1103/PhysRevC.96.024323.

```
Ormand, W. E., Brown, B. A., and Hjorth-Jensen, M. Tue .
"Realistic calculations for c coefficients of the isobaric mass multiplet equation in 1p0f shell nuclei". United States.
doi:10.1103/PhysRevC.96.024323. https://www.osti.gov/servlets/purl/1409938.
```

```
@article{osti_1409938,
```

title = {Realistic calculations for c coefficients of the isobaric mass multiplet equation in 1p0f shell nuclei},

author = {Ormand, W. E. and Brown, B. A. and Hjorth-Jensen, M.},

abstractNote = {We present calculations for the c coefficients of the isobaric mass multiplet equation for nuclei from A = 42 to A = 54 based on input from three realistic nucleon-nucleon interactions. We demonstrate that there is a clear dependence on the short-range charge-symmetry-breaking (CSB) part of the strong interaction and that there is significant disagreement in the CSB part between the commonly used CD-Bonn, chiral effective field theory at next-to-next-to-next-to-leading-order, and Argonne V18 nucleon-nucleon interactions. In addition, we show that all three interactions give a CSB contribution to the c coefficient that is too large when compared to experiment.},

doi = {10.1103/PhysRevC.96.024323},

journal = {Physical Review C},

number = 2,

volume = 96,

place = {United States},

year = {Tue Aug 01 00:00:00 EDT 2017},

month = {Tue Aug 01 00:00:00 EDT 2017}

}

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