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

Hoferichter, Martin; Ruiz de Elvira, J.; Kubis, Bastian; Meißner, Ulf-G.

doi:10.1103/PhysRevLett.115.092301

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

Martin Hoferichter
(
- Darmstadt, Tech. U. and
- Darmstadt, EMMI and
- U. Bern, AEC and
- Washington U., Seattle
)
,
J. Ruiz de Elvira
(
- Bonn U. and
- Bonn U., HISKP
)
,
Bastian Kubis
(
- Bonn U. and
- Bonn U., HISKP
)
,
Ulf-G. Meißner
(
- Bonn U. and
- Bonn U., HISKP and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)

Jun 12, 2015

5 pages

Published in:

Phys.Rev.Lett. 115 (2015) 092301

Published: Aug 28, 2015

e-Print:

1506.04142 [hep-ph]

DOI:

10.1103/PhysRevLett.115.092301

Report number:

INT-PUB-15-026

View in:

pdf

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Abstract: (APS)

We present a determination of the pion-nucleon (πN) σ term σπN based on the Cheng-Dashen low-energy theorem (LET), taking advantage of the recent high-precision data from pionic atoms to pin down the πN scattering lengths as well as of constraints from analyticity, unitarity, and crossing symmetry in the form of Roy-Steiner equations to perform the extrapolation to the Cheng-Dashen point in a reliable manner. With isospin-violating corrections included both in the scattering lengths and the LET, we obtain σπN=(59.1±1.9±3.0) MeV=(59.1±3.5) MeV, where the first error refers to uncertainties in the πN amplitude and the second to the LET. Consequences for the scalar nucleon couplings relevant for the direct detection of dark matter are discussed.

Note:

6 pages, 1 figure; title changed by journal, version to be published in PRL

13.75.Gx
11.30.Rd
11.55.Fv
95.35.+d
effective Lagrangian: chiral
low-energy theorem
dark matter: direct detection
pi: dispersion relation
pi nucleon: interaction
pi nucleon: coupling

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