Nucleon form factors and the pion-nucleon sigma term

Gupta, Rajan; Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Hoferichter, Martin; Jang, Yong-Chull; Joo, Balint; Mereghetti, Emanuele; Mondal, Santanu; Park, Sungwoo; Winter, Frank; Yoon, Boram (6 April 2022). Nucleon form factors and the pion-nucleon sigma term. In: The 39th International Symposium on Lattice Field Theory 430 (p. 427). Trieste, Italy: Sissa Medialab 10.22323/1.430.0427

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This talk summarizes the progress made since Lattice 2021 in understanding and controlling the contributions of towers of multihadron excited states with mass gaps starting lower than of radial excitations, and in increasing our confidence in the extraction of ground state nucleon matrix elements. The most clear evidence for multihadron excited state contributions (ESC) is in axial/pseudoscalar form factors that are required to satisfy the PCAC relation between them. The talk examines the broader question--which and how many of the theoretically allowed positive parity states N(p)π(−p), N(0)π(0)π(0), N(p)π(0), N(0)π(p), …
make significant contributions to a given matrix element? New data for the axial, electric and magnetic form factors are presented. They continue to show trends observed in Ref.[1]. The N2 LO χ PT analysis of the ESC to the pion-nucleon sigma term, σπN, has been extended to include the Δ as an explicit degree of freedom [2]. The conclusion reached in Ref.[3] that Nπ and Nππ states each contribute about 10 MeV to σπN, and the consistency between the lattice result with Nπ state included and the phenomenological estimate is not changed with this improvement.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

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

UniBE Contributor:

Hoferichter, Martin

Subjects:

500 Science > 530 Physics
500 Science

Publisher:

Sissa Medialab

Language:

English

Submitter:

Franziska Stämpfli

Date Deposited:

04 Dec 2023 12:44

Last Modified:

04 Dec 2023 12:44

Publisher DOI:

10.22323/1.430.0427

BORIS DOI:

10.48350/189716

URI:

https://boris.unibe.ch/id/eprint/189716

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