Low-energy theorem for radiative corrections to pion-nucleon scattering lengths

1974 ◽  
Vol 10 (9) ◽  
pp. 2934-2942
Author(s):  
Gino Segrè
1997 ◽  
Vol 50 (1) ◽  
pp. 221
Author(s):  
Y. Kondo ◽  
O. Morimatsu ◽  
Y. Nishino

Hadron–nucleon scattering lengths are studied by the QCD sum rule. First we explain our motivation and present the formulation for calculating hadron-nucleon scattering lengths by the QCD sum rule, where the relation between the hadron mass in the nuclear medium and the hadron–nucleon scattering length is also clarified. Secondly we discuss two applications, the pion–nucleon scattering lengths and the nucleon-nucleon scattering lengths. In the case of the pion–nucleon scattering length we show that the results of the QCD sum rule are consistent with the low-energy theorem. In the case of the nucleon–nucleon scattering lengths we show that the results of the QCD sum rule are in qualitative agreement with experiment.


2021 ◽  
Vol 57 (2) ◽  
Author(s):  
A. Hirtl ◽  
D. F. Anagnostopoulos ◽  
D. S. Covita ◽  
H. Fuhrmann ◽  
H. Gorke ◽  
...  

AbstractThe hadronic width of the ground state of pionic hydrogen has been redetermined by X-ray spectroscopy to be $$\varGamma ^{\pi \mathrm {H}}_{1s}=(856\,\pm \,16_\mathrm{stat}\,\pm \,22_\mathrm{sys})$$ Γ 1 s π H = ( 856 ± 16 stat ± 22 sys )  meV. The experiment was performed at the high-intensity low-energy pion beam of the Paul Scherrer Institute by using the cyclotron trap and a high-resolution Bragg spectrometer with spherically bent crystals. Coulomb de-excitation was studied in detail by comparing its influence on the line shape by measuring the three different transitions K$$\alpha $$ α , K$$\beta $$ β , and K$$\gamma $$ γ at various hydrogen densities. The pion-nucleon scattering lengths and other physical quantities extracted from pionic-atom data are in good agreement with the results obtained from pion-nucleon and nucleon-nucleon scattering experiments and confirm that a consistent picture is achieved for the low-energy pion-nucleon sector with respect to the expectations of chiral perturbation theory.


2017 ◽  
Vol 45 (2) ◽  
pp. 024001 ◽  
Author(s):  
Jacobo Ruiz de Elvira ◽  
Martin Hoferichter ◽  
Bastian Kubis ◽  
Ulf-G Meißner

2018 ◽  
Vol 181 ◽  
pp. 01004 ◽  
Author(s):  
A. Scordo ◽  
A. Amirkhani ◽  
M. Bazzi ◽  
G. Bellotti ◽  
C. Berucci ◽  
...  

The interaction of antikaons with nucleons and nuclei in the low-energy regime represents an active research field in hadron physics with still many important open questions. The investigation of light kaonic atoms, in which one electron is replaced by a negatively charged kaon, is a unique tool to provide precise information on this interaction; the energy shift and the broadening of the low-lying states of such atoms, induced by the kaon-nucleus hadronic interaction, can be determined with high precision from the atomic X-ray spectroscopy, and this experimental method provides unique information to understand the low energy kaon-nucleus interaction at the production threshold. The lightest atomic systems, like the kaonic hydrogen and the kaonic deuterium deliver, in a model-independent way, the isospin-dependent kaon-nucleon scattering lengths. The most precise kaonic hydrogen measurement to-date, together with an exploratory measurement of kaonic deuterium, were carried out in 2009 by the SIDDHARTA collaboration at the DAΦNE electron-positron collider of LNF-INFN, combining the excellent quality kaon beam delivered by the collider with new experimental techniques, as fast and very precise X-ray detectors, like the Silicon Drift Detectors. The SIDDHARTA results triggered new theoretical work, which achieved major progress in the understanding of the low-energy strong interaction with strangeness reflected by the antikaon-nucleon scattering lengths calculated with the antikaon-proton amplitudes constrained by the SIDDHARTA data. The most important open question is the experimental determination of the hadronic energy shift and width of kaonic deuterium; presently, a major upgrade of the setup, SIDDHARTA-2, is being realized to reach this goal. In this paper, the results obtained in 2009 and the proposed SIDDHARTA-2 upgrades are presented.


1963 ◽  
Vol 27 (5) ◽  
pp. 1156-1167 ◽  
Author(s):  
M. Carrassi ◽  
G. Passatore

Sign in / Sign up

Export Citation Format

Share Document