On the analysis of the pion-nucleon σ-term: The size of the remainder at the Cheng-Dashen point

V. Bernard; N. Kaiser; Ulf G. Meißner

doi:10.1016/S0370-2693(96)01243-9

On the analysis of the pion-nucleon σ-term: The size of the remainder at the Cheng-Dashen point

V. Bernard, N. Kaiser, Ulf G. Meißner

School Office of the TUM School of Natural Sciences

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Abstract

We calculate the one-loop contributions of order M⁴_π to the difference Δ_R between the on-shell pion-nucleon scattering amplitude D̄⁺(0, 2M²_π) at the Cheng-Dashen point v = 0, t = 2M²_π and the scalar form factor σ(2M²_π) in the framework of heavy baryon chiral perturbation theory. We proof that to this order Δ_R contains no chiral logarithms and therefore it vanishes simply as M⁴_π in the chiral limit. Numerically, we find as an upper limit Δ_R ≃ 2 MeV.

Original language	English
Pages (from-to)	144-148
Number of pages	5
Journal	Physics Letters B
Volume	389
Issue number	1
DOIs	https://doi.org/10.1016/S0370-2693(96)01243-9
State	Published - 5 Dec 1996

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title = "On the analysis of the pion-nucleon σ-term: The size of the remainder at the Cheng-Dashen point",

abstract = "We calculate the one-loop contributions of order M4π to the difference ΔR between the on-shell pion-nucleon scattering amplitude {\=D}+(0, 2M2π) at the Cheng-Dashen point v = 0, t = 2M2π and the scalar form factor σ(2M2π) in the framework of heavy baryon chiral perturbation theory. We proof that to this order ΔR contains no chiral logarithms and therefore it vanishes simply as M4π in the chiral limit. Numerically, we find as an upper limit ΔR ≃ 2 MeV.",

author = "V. Bernard and N. Kaiser and Mei{\ss}ner, \{Ulf G.\}",

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T1 - On the analysis of the pion-nucleon σ-term

T2 - The size of the remainder at the Cheng-Dashen point

AU - Bernard, V.

AU - Kaiser, N.

AU - Meißner, Ulf G.

PY - 1996/12/5

Y1 - 1996/12/5

N2 - We calculate the one-loop contributions of order M4π to the difference ΔR between the on-shell pion-nucleon scattering amplitude D̄+(0, 2M2π) at the Cheng-Dashen point v = 0, t = 2M2π and the scalar form factor σ(2M2π) in the framework of heavy baryon chiral perturbation theory. We proof that to this order ΔR contains no chiral logarithms and therefore it vanishes simply as M4π in the chiral limit. Numerically, we find as an upper limit ΔR ≃ 2 MeV.

AB - We calculate the one-loop contributions of order M4π to the difference ΔR between the on-shell pion-nucleon scattering amplitude D̄+(0, 2M2π) at the Cheng-Dashen point v = 0, t = 2M2π and the scalar form factor σ(2M2π) in the framework of heavy baryon chiral perturbation theory. We proof that to this order ΔR contains no chiral logarithms and therefore it vanishes simply as M4π in the chiral limit. Numerically, we find as an upper limit ΔR ≃ 2 MeV.

UR - https://www.scopus.com/pages/publications/0009132652

U2 - 10.1016/S0370-2693(96)01243-9

DO - 10.1016/S0370-2693(96)01243-9

M3 - Article

AN - SCOPUS:0009132652

SN - 0370-2693

VL - 389

SP - 144

EP - 148

JO - Physics Letters B

JF - Physics Letters B

IS - 1

ER -

On the analysis of the pion-nucleon σ-term: The size of the remainder at the Cheng-Dashen point

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