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Roy–Steiner-equation analysis of pion–nucleon scattering

U.G. Meißner
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP and
- IAS, Julich and
- JCHP, Julich
)
,
J. Ruiz de Elvira
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP and
- U. Bern, AEC
)
,
M. Hoferichter
(
- Washington U., Seattle
)
,
B. Kubis
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)

2017

12 pages

Part of Proceedings, 12th Conference on Quark Confinement and the Hadron Spectrum (Confinement XII) : Thessaloniki, Greece

Published in:

EPJ Web Conf. 137 (2017) 01014

Contribution to:

- Confinement XII

Published: 2017

DOI:

10.1051/epjconf/201713701014

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Abstract: (EDP Sciences)

Low-energy pion–nucleon scattering is relevant for many areas in nuclear and hadronic physics, ranging from the scalar couplings of the nucleon to the long-range part of two-pion-exchange potentials and three-nucleon forces in Chiral Effective Field Theory. In this talk, we show how the fruitful combination of dispersion-theoretical methods, in particular in the form of Roy–Steiner equations, with modern high-precision data on hadronic atoms allows one to determine the pion–nucleon scattering amplitudes at low energies with unprecedented accuracy. Special attention will be paid to the extraction of the pion–nucleon σ-term, and we discuss in detail the current tension with recent lattice results, as well as the determination of the low-energy constants of chiral perturbation theory.cc These proceedings borrow heavily from a previous conference contribution [1], as well as from our original article [2].

effective field theory: chiral
perturbation theory: chiral
nucleon: coupling
coupling: scalar
energy: low
pi nucleon: scattering
scattering amplitude
hadronic atom
potential: long-range
sigma term

References(60)

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Pion-nucleon scattering: from chiral perturbation theory to Roy-Steiner equations

Bastian Kubis
(
- Bonn U., HISKP and
- Bonn U.
)
,
Jacobo Ruiz de Elvira
(
- Bonn U., HISKP and
- Bonn U.
)
,
Martin Hoferichter
(
- Washington U., Seattle
)
,
Ulf-G. Meißner
(
- Bonn U., HISKP and
- Bonn U. and
- IAS, Julich and
- Julich, Forschungszentrum and
- JCHP, Julich
)

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Roy–Steiner-equation analysis of pion–nucleon scattering

Martin Hoferichter
(
- Washington U., Seattle
)
,
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(
- 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
)

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(
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)
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(
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(
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(
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(
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)
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(
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)

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Roy-Steiner equations for pion-nucleon scattering

C. Ditsche
(
- Bonn U., HISKP and
- Bonn U.
)
,
M. Hoferichter
(
- Bonn U., HISKP and
- Bonn U.
)
,
B. Kubis
(
- Bonn U., HISKP and
- Bonn U.
)
,
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(
- Bonn U. and
- Bonn U., HISKP and
- IAS, Julich
)

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•
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•
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Roy–Steiner equations for π N scattering

Christoph Ditsche
(
- Bonn U., HISKP and
- Bonn U.
)
,
Martin Hoferichter
(
- Bonn U., HISKP and
- Bonn U. and
- Bern U.
)
,
Bastian Kubis
(
- Bonn U., HISKP and
- Bonn U.
)
,
Ulf-G. Meissner
(
- Bonn U., HISKP and
- Bonn U. and
- Julich, Forschungszentrum and
- IAS, Julich and
- JCHP, Julich
)

- PoS CD12 (2013) 064
•
e-Print:
- 1211.7285
•
DOI:
- 10.22323/1.172.0064

Roy-Steiner equations for piN scattering

J. Ruiz de Elvira
(
- Bonn U., HISKP and
- Bonn U.
)
,
C. Ditsche
(
- Bonn U., HISKP and
- Bonn U.
)
,
M. Hoferichter
(
- U. Bern, AEC and
- Bern U.
)
,
B. Kubis
(
- Bonn U., HISKP and
- Bonn U.
)
,
U.G. Meissner
(
- Bonn U., HISKP and
- Bonn U. and
- IAS, Julich and
- JCHP, Julich and
- Julich, Forschungszentrum
)

- EPJ Web Conf. 73 (2014) 05002
•
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