## Proton tensor charges from a Poincaré-covariant Faddeev equation

## Abstract

The proton’s tensor charges are calculated at leading order in a symmetry-preserving truncation of all matter-sector equations relevant to the associated bound-state and scattering problems. In particular, the nucleon three-body bound-state equation is solved without using a diquark approximation of the two-body scattering kernel. The computed charges are similar to those obtained in contemporary simulations of lattice-regularized quantum chromodynamics, an outcome which increases the tension between theory and phenomenology. Curiously, the theoretical calculations produce a value of the scale-invariant ratio (–δ _{T}d/δ _{T}u) which matches that obtained in simple quark models, even though the individual charges are themselves different. As a result, the proton's tensor charges can be used to constrain extensions of the Standard Model using empirical limits on nucleon electric dipole moments.

- Authors:

- Sichuan Univ., Chengdu (People's Republic of China)
- Chongqing Univ., Chongqing (People's Republic of China)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Forschungszentrum Julich and JARA, Julich (Germany)

- 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:
- 1477737

- Alternate Identifier(s):
- OSTI ID: 1471439

- Grant/Contract Number:
- AC02-06CH11357

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Wang, Qing -Wu, Qin, Si -Xue, Roberts, Craig D., and Schmidt, Sebastian M. Proton tensor charges from a Poincaré-covariant Faddeev equation. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.054019.
```

```
Wang, Qing -Wu, Qin, Si -Xue, Roberts, Craig D., & Schmidt, Sebastian M. Proton tensor charges from a Poincaré-covariant Faddeev equation. United States. doi:10.1103/PhysRevD.98.054019.
```

```
Wang, Qing -Wu, Qin, Si -Xue, Roberts, Craig D., and Schmidt, Sebastian M. Wed .
"Proton tensor charges from a Poincaré-covariant Faddeev equation". United States. doi:10.1103/PhysRevD.98.054019. https://www.osti.gov/servlets/purl/1477737.
```

```
@article{osti_1477737,
```

title = {Proton tensor charges from a Poincaré-covariant Faddeev equation},

author = {Wang, Qing -Wu and Qin, Si -Xue and Roberts, Craig D. and Schmidt, Sebastian M.},

abstractNote = {The proton’s tensor charges are calculated at leading order in a symmetry-preserving truncation of all matter-sector equations relevant to the associated bound-state and scattering problems. In particular, the nucleon three-body bound-state equation is solved without using a diquark approximation of the two-body scattering kernel. The computed charges are similar to those obtained in contemporary simulations of lattice-regularized quantum chromodynamics, an outcome which increases the tension between theory and phenomenology. Curiously, the theoretical calculations produce a value of the scale-invariant ratio (–δTd/δTu) which matches that obtained in simple quark models, even though the individual charges are themselves different. As a result, the proton's tensor charges can be used to constrain extensions of the Standard Model using empirical limits on nucleon electric dipole moments.},

doi = {10.1103/PhysRevD.98.054019},

journal = {Physical Review D},

number = 5,

volume = 98,

place = {United States},

year = {2018},

month = {9}

}

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