# Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions

@article{Carlsson2015UncertaintyAA, title={Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions}, author={B. D. Carlsson and Andreas Ekstrom and Christian Forss'en and D. F. Stromberg and G. R. Jansen and Oskar Lilja and Mattias Lindby and Bj{\"o}rn Mattsson and Kyle A. Wendt}, journal={Physical Review X}, year={2015}, volume={6}, pages={011019} }

Chiral effective field theory (chi EFT) provides a systematic approach to describe low-energy nuclear forces. Moreover, chi EFT is able to provide well-founded estimates of statistical and systematic uncertainties-although this unique advantage has not yet been fully exploited. We fill this gap by performing an optimization and statistical analysis of all the low-energy constants (LECs) up to next-to-next-to-leading order. Our optimization protocol corresponds to a simultaneous fit to…

## 86 Citations

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## References

SHOWING 1-10 OF 103 REFERENCES

### Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order

- Physics
- 2014

Abstract.We present improved nucleon-nucleon potentials derived in chiral effective field theory up to next-to-next-to-next-to-leading order. We argue that the nonlocal momentum-space regulator…

### Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion.

- PhysicsPhysical review letters
- 2015

The fifth-order corrections to nucleon-nucleon observables appear to be of a natural size, which confirms the good convergence of the chiral expansion for nuclear forces.

### Power counting of contact-range currents in effective field theory.

- PhysicsPhysical review letters
- 2015

The existence of nonperturbative physics at low energies, which is manifest in the existence of the deuteron and the ^{1}S_{0} NN virtual bound state, combined with the appearance of singular potentials in versions of nuclear EFT that incorporate chiral symmetry, modifies the renormalization-group flow of the couplings associated with contact operators that involve nucleon-nucleon pairs and external fields.

### Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory

- Physics
- 2015

We present the two- and three-pion exchange contributions to the nucleon-nucleon interaction which occur at next-to-next-to-next-to-next-to-leading order (N4LO, fifth order) of chiral effective field…

### Three-nucleon forces from chiral effective field theory

- Physics
- 2002

We perform the first fully consistent analysis of $\mathrm{nd}$ scattering at next-to-next-to-leading order in chiral effective field theory including the corresponding three-nucleon force and…

### Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies

- Physics
- 2015

We present a novel framework to decompose three-nucleon forces in a momentum space partial-wave basis. The new approach is computationally much more efficient than previous methods and opens the way…

### Accurate charge dependent nucleon nucleon potential at fourth order of chiral perturbation theory

- Physics
- 2003

We present the first nucleon-nucleon potential at next-to-next-to-next-to-leading order (fourth order) of chiral perturbation theory. Charge dependence is included up to next-to-leading order of the…

### High-Precision Determination of the Pion-Nucleon σ Term from Roy-Steiner Equations.

- PhysicsPhysical review letters
- 2015

We present a determination of the pion-nucleon (πN) σ term σ_{πN} based on the Cheng-Dashen low-energy theorem (LET), taking advantage of the recent high-precision data from pionic atoms to pin down…

### Low energy chiral two pion exchange potential with statistical uncertainties

- Physics
- 2014

We present a new phenomenological Nucleon-Nucleon chiral potential fitted to 925 pp and 1743 np scattering data selected from the Granada-2013 NN-database up to a laboratory energy of $125$ MeV with…

### Chiral three-nucleon force at N^4LO I: Longest-range contributions

- Physics
- 2012

We derive the sub-subleading two-pion exchange contributions to the three-nucleon force which appear at next-to-next-to-next-to-next-to-leading order in chiral effective field theory. In order to…