Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory

被引：139

作者：

Hoferichter, Martin ^{[1
,2
,3
]}

de Elvira, Jacobo Ruiz ^{[4
,5
]}

Kubis, Bastian ^{[4
,5
]}

Meissner, Ulf-G. ^{[4
,5
,6
,7
]}

机构：

[1] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany

[2] GSI Helmholtzzentrum Schwerionenforsch GmbH, ExtreMe Matter Inst EMMI, D-64291 Darmstadt, Germany

[3] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA

[4] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany

[5] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[6] Forschungszentrum Julich, JARA HPC, Julich Ctr Hadron Phys, Inst Adv Simulat,Inst Kernphys, D-52425 Julich, Germany

[7] Forschungszentrum Julich, JARA FAME, D-52425 Julich, Germany

来源：

PHYSICAL REVIEW LETTERS | 2015年 / 115卷 / 19期

关键词：

N-SCATTERING; PRECISION CALCULATION; PI(-)D SCATTERING; ONE-LOOP; LAGRANGIANS; FORCES; HYDROGEN; LENGTHS; ENERGY;

D O I：

10.1103/PhysRevLett.115.192301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to- leading order, to extract the pertinent low-energy constants including a comprehensive analysis of systematic uncertainties and correlations. We study the convergence of the chiral series by investigating the chiral expansion of threshold parameters up to the same order and discuss the role of the Delta(1232) resonance in this context. Results for the low-energy constants are also presented in the counting scheme usually applied in chiral nuclear effective field theory, where they serve as crucial input to determine the long-range part of the nucleon-nucleon potential as well as three-nucleon forces.

引用

页数：6

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