Extraction of the s-wave pi N scattering lengths from data on pionic atoms

Baru, V.; Hanhart, C.; Hoferichter, Martin; Kubis, B.; Nogga, A.; Phillips, D. R. (2012). Extraction of the s-wave pi N scattering lengths from data on pionic atoms. PoS - proceedings of science, QNP2012(133), pp. 1-6. Scuola Internazionale Superiore di Studi Avanzati SISSA

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For many years a combined analysis of pionic hydrogen and deuterium atoms has been known as a good tool to extract information on the isovector and especially on the isoscalar s-wave pN scattering length. However, given the smallness of the isoscalar scattering length, the analysis becomes useful only if the pion–deuteron scattering length is controlled theoretically to a high accuracy comparable to the experimental precision. To achieve the required few-percent accuracy one needs theoretical control over all isospin-conserving three-body pNN !pNN operators up to one order before the contribution of the dominant unknown (N†N)2pp contact term. This term appears at next-to-next-to-leading order in Weinberg counting. In addition, one needs to include isospin-violating effects in both two-body (pN) and three-body (pNN) operators. In this talk we discuss the results of the recent analysis where these isospin-conserving and -violating effects have been carefully taken into account. Based on this analysis, we present the up-to-date values of the s-wave pN scattering lengths.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Hoferichter, Martin

Subjects:

500 Science > 530 Physics

ISSN:

1824-8039

Publisher:

Scuola Internazionale Superiore di Studi Avanzati SISSA

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

19 Jun 2014 14:53

Last Modified:

13 Dec 2014 17:26

BORIS DOI:

10.7892/boris.42579

URI:

https://boris.unibe.ch/id/eprint/42579

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