The s-wave {pi}d scattering length from the {pi}d atom in an effective field theory approach

Journal Article · Fri May 06 04:00:00 EDT 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1932906· OSTI ID:20718926

Irgaziev, B F; Fayzullaev, B A ^[1]

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1. Theoretical Physics Department, National University of Uzbekistan, 700174 Tashkent (Uzbekistan)

The {pi}-d atom strong energy-level shift in the 1s state is derived by using effective field theory. We have considered the deuteron as a particle described by a vector field. The pion is described by a scalar field. To obtain the nonrelativistic Hamiltonian for the {pi}d system a Foldy-Wouthuysen transformation has been derived for the vector field. The strong interaction between pion and deuteron has been taken at the zero-range approach. We have found a Deser-type formula for the relation between the strong energy-level shift and the s-wave {pi}d scattering length.

• OSTI ID: 20718926
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 768; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ATOMS
DEUTERONS
FOLDY-WOUTHUYSEN TRANSFORM
HAMILTONIANS
LAGRANGIAN FIELD THEORY
PION-NEUTRON INTERACTIONS
PION-PROTON INTERACTIONS
PIONS
S STATES
S WAVES
SCALAR FIELDS
SCATTERING LENGTHS
STRONG INTERACTIONS
VECTOR FIELDS