Extracting the σ-term from low-energy pion-nucleon scattering

被引:80
作者
de Elvira, Jacobo Ruiz [1 ]
Hoferichter, Martin [2 ]
Kubis, Bastian [3 ,4 ]
Meissner, Ulf-G [3 ,4 ,5 ,6 ]
机构
[1] Univ Bern, Inst Theoret Phys, Albert Einstein Ctr Fundamental Phys, Sidlerstr 5, CH-3012 Bern, Switzerland
[2] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA
[3] Univ Bonn, Helmholtz Inst Strahlen & Kernphys Theorie, D-53115 Bonn, Germany
[4] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany
[5] Forschungszentrum Julich, Inst Kernphys, Inst Adv Simulat, D-52425 Julich, Germany
[6] Forschungszentrum Julich, Julich Ctr Hadron Phys, D-52425 Julich, Germany
基金
瑞士国家科学基金会;
关键词
pion-baryon interactions; dispersion relations; pion-nucleon sigma-term; DIFFERENTIAL CROSS-SECTIONS; CHIRAL PERTURBATION-THEORY; ELECTRIC-DIPOLE MOMENTS; P ELASTIC-SCATTERING; ELECTROMAGNETIC CORRECTIONS; ISOSPIN VIOLATION; CHARGE-EXCHANGE; N SCATTERING; PRECISION CALCULATION; PI(-)D SCATTERING;
D O I
10.1088/1361-6471/aa9422
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We present an extraction of the pion-nucleon (pi N) scattering lengths from low-energy pi N scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm the scattering-length determination from pionic atoms, and discuss the stability of the fit results regarding electromagnetic corrections and experimental normalization uncertainties in detail. Our results provide further evidence for a large pi N sigma-term, sigma(pi N) = 58(5) MeV, in agreement with, albeit less precise than, the determination from pionic atoms.
引用
收藏
页数:16
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