A phenomenological π−p scattering length from pionic hydrogen

Ericson, T.E.O.; Loiseau, B.; Wycech, S.

doi:10.1016/j.physletb.2004.05.009

Cited by 29 publications

(97 citation statements)

References 25 publications

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“…For this reason, even potential models (see, e.g. [32]) agree with our result in what concerns the difference of the correction terms in the states with a different n. Table 1. Comparison of the electromagnetic corrections to the E3p − E1s transition energies, calculated in Ref.…”

Section: Pionic Deuteriumsupporting

confidence: 86%

The pion-nucleon scattering lengths from pionic deuterium

2005

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Abstract. We use the framework of effective field theories to discuss the determination of the S-wave πN scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several steps. Initially, the precise value of the pion-deuteron scattering length a πd is extracted from the data. Next, a πd is related to the S-wave πN scattering lengths a+ and a−. We discuss the use of this information for constraining the values of these scattering lengths in the full analysis, which also includes the input from the pionic hydrogen energy shift and width measurements, and throughly investigate the accuracy limits for this procedure. In this paper, we also give a detailed comparison to other effective field theory approaches, as well as with the earlier work on the subject, carried out within the potential model and multiple scattering framework.

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Section: Pionic Deuteriumsupporting

confidence: 86%

The pion-nucleon scattering lengths from pionic deuterium

2005

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“…In addition, the Coulomb corrections on the pionic hydrogen have been recently revised in ref. [51]. This shifts the hydrogen data by the order of one σ.…”

Section: Resultsmentioning

confidence: 93%

“…We take the newer values from ref. [51] but keep the more conservative error estimates from refs. [2,4,5,6].…”

Section: Resultsmentioning

confidence: 99%

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

2004

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The isoscalar and isovector scattering lengths (b0, b1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy πN scattering data, the free parameters of the model are calculated. Isospin violation is incorporated to a certain extent by working with physical particle masses. For the deuterium scattering length a π − d new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from π − d scattering on the values of (b0, b1). In particular, dispersion corrections, the influence of the ∆(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.

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“…The other major approach, which I will follow below, is complementary and less ambitious [9,10]. It starts from the empirical low energy expansion of the strong interaction amplitude in terms of energy and momentum.…”

Section: Introductionmentioning

confidence: 99%

Isospin violation in threshold πN scattering

Ericson¹

2009

EXA05 International Conference on Exotic Atoms and Related Topics

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We discuss the electromagnetic corrections to the πN scattering lengths generated by minimal e. m. coupling from a knowledge of the low energy expansion of the πN elastic scattering amplitude as well as from the nucleon and ∆ pole terms, all taken for purely strong interactions. We assume the heavy baryon limit; the e. m. and axial form factors are assumed to have the empirical values as well as the mass differences and the pion mass, such that there is no free parameter. The different terms have a clear physical and intuitive origin. In particular, a large isoscalar term appears in the elastic charged-pion scattering lengths. We attempt a comparison the results from chiral effective field theory (EFT) and a physical interpretation of the empirical constants in that approach. The results are applied to the energy shift and width of the π − p atom.

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A phenomenological π−p scattering length from pionic hydrogen

Cited by 29 publications

References 25 publications

The pion-nucleon scattering lengths from pionic deuterium

The pion-nucleon scattering lengths from pionic deuterium

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

Isospin violation in threshold πN scattering

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