scholarly journals Hadron-Nucleon Scattering Lengths from QCD Sum Rules

1997 ◽  
Vol 50 (1) ◽  
pp. 221
Author(s):  
Y. Kondo ◽  
O. Morimatsu ◽  
Y. Nishino
Keyword(s):  
Qualitative Agreement ◽  
Sum Rules ◽  
Scattering Length ◽  
Nucleon Nucleon ◽  
Low Energy ◽  
Nucleon Scattering ◽  
Sum Rule ◽  
Hadron Mass ◽  
Pion Nucleon ◽  
Scattering Lengths

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.

scholarly journals Redetermination of the strong-interaction width in pionic hydrogen

2021 ◽  
Vol 57 (2) ◽  
Author(s):  
A. Hirtl ◽  
D. F. Anagnostopoulos ◽  
D. S. Covita ◽  
H. Fuhrmann ◽  
H. Gorke ◽  
...  
Keyword(s):  
Nucleon Nucleon ◽  
Low Energy ◽  
Nucleon Scattering ◽  
Pionic Hydrogen ◽  
Pionic Atom ◽  
Pion Nucleon ◽  
Consistent Picture ◽  
Scattering Lengths ◽  
Paul Scherrer ◽  
Bent Crystals

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.

scholarly journals Pion-nucleon and kaon-nucleon scattering lengths in QCD sum rules

1996 ◽  
Vol 53 (4) ◽  
pp. 1927-1935 ◽  
Author(s):  
Y. Kondo ◽  
O. Morimatsu ◽  
Y. Nishino
Keyword(s):  
Sum Rules ◽  
Qcd Sum Rules ◽  
Nucleon Scattering ◽  
Pion Nucleon ◽  
Scattering Lengths
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