A high-accuracy extraction of the isoscalar {pi}N scattering length from pionic deuterium data

Journal Article · Tue Jul 27 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3479361· OSTI ID:21410774

Phillips, Daniel R ^[1]; Baru, Vadim ^[2]; Hanhart, Christoph; Nogga, Andreas ^[2]; Hoferichter, Martin; Kubis, Bastian ^[3]

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1. Department of Physics and Astronomy, Ohio University, Athens, OH 45701 (United States)
2. Institut fuer Kernphysik and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich (Germany)
3. Helmholtz-Institut fuer Strahlen-und Kernphysik and Bethe Center for Theoretical Physics, Universiaet Bonn, D-53115 Bonn (Germany)

We present a high-accuracy calculation of the {pi}(bar sign)d scattering length using chiral perturbation theory up to order (M{sub {pi}/}m{sub p}){sup 7/2}. For the first time isospin-violating corrections are included consistently. The resulting value of a{sub {pi}-}bar{sub d} has a theoretical uncertainty of a few percent. We use it, together with data on pionic deuterium and pionic hydrogen atoms, to extract the isoscalar and isovector pion-nucleon scattering lengths from a combined analysis, and obtain a{sup +} (7.9{+-}3.2){center_dot}10{sup -3}M{sub {pi}}{sup -1} and a-bar (86.3{+-}1.0){center_dot}10{sup -3}M{sub {pi}}{sup -1}.

• OSTI ID: 21410774
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1261; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
ANGULAR MOMENTUM
ATOMS
BOSONS
CHARGED PARTICLES
CHIRALITY
CORRECTIONS
DEUTERIUM
DEUTERONS
DIMENSIONS
ELEMENTARY PARTICLES
ELEMENTS
EXTRACTION
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
HYDROGEN
HYDROGEN ISOTOPES
INTERACTIONS
ISOSPIN
ISOTOPES
ISOVECTORS
LENGTH
LIGHT NUCLEI
MASS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NONMETALS
NUCLEI
ODD-ODD NUCLEI
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
PION-NUCLEON INTERACTIONS
PIONS
PSEUDOSCALAR MESONS
QUARKS
SCATTERING
SCATTERING LENGTHS
SEPARATION PROCESSES
SPIN
STABLE ISOTOPES
TENSORS
VECTORS