scholarly journals Pion-pion scattering amplitude

2005 ◽  
Vol 71 (7) ◽  
Author(s):  
J. R. Peláez ◽  
F. J. Ynduráin
Keyword(s):  
Scattering Amplitude ◽  
Pion Scattering

scholarly journals Pion-pion scattering amplitude. II. Improved analysis aboveK¯Kthreshold

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
R. Kamiński ◽  
J. R. Peláez ◽  
F. J. Ynduráin
Keyword(s):  
Scattering Amplitude ◽  
Pion Scattering

scholarly journals Elastic I=3/2 p -wave nucleon-pion scattering amplitude and the Δ(1232) resonance from Nf=2+1 lattice QCD

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Christian Walther Andersen ◽  
John Bulava ◽  
Ben Hörz ◽  
Colin Morningstar
Keyword(s):  
Lattice Qcd ◽  
Scattering Amplitude ◽  
P Wave ◽  
Pion Scattering

scholarly journals Multi-hadron spectroscopy in a large physical volume

2018 ◽  
Vol 175 ◽  
pp. 05026 ◽  
Author(s):  
John Bulava ◽  
Ben Hörz ◽  
Colin Morningstar
Keyword(s):  
Finite Volume ◽  
Scattering Amplitude ◽  
Pion Mass ◽  
Spatial Extent ◽  
Good Precision ◽  
Hadron Spectroscopy ◽  
Pion Scattering ◽  
Physical Pion ◽  
Physical Volume ◽  
Treat All

We demonstrate the effcacy of the stochastic LapH method to treat all-toall quark propagation on a Nf = 2 + 1 CLS ensemble with large linear spatial extent L = 5:5 fm, allowing us to obtain the benchmark elastic isovector p-wave pion-pion scattering amplitude to good precision already on a relatively small number of gauge configurations. These results hold promise for multi-hadron spectroscopy at close-to-physical pion mass with exponential finite-volume effects under control.

scholarly journals The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD

2019 ◽  
Vol 939 ◽  
pp. 145-173 ◽  
Author(s):  
Christian Andersen ◽  
John Bulava ◽  
Ben Hörz ◽  
Colin Morningstar
Keyword(s):  
Form Factor ◽  
Lattice Qcd ◽  
Scattering Amplitude ◽  
Pion Form Factor ◽  
Pion Scattering

scholarly journals Application of a computer algebra systems to the calculation of the \(\pi\pi\)-scattering amplitude

2020 ◽  
Vol 28 (3) ◽  
pp. 216-229
Author(s):  
Yuriy L. Kalinovsky ◽  
Alexandra V. Friesen ◽  
Elizaveta D. Rogozhina ◽  
Lyubov’ I. Golyatkina
Keyword(s):  
Cross Section ◽  
Computer Algebra ◽  
Scattering Amplitude ◽  
Computer Algebra Systems ◽  
Zero Temperature ◽  
Feynman Integrals ◽  
Pion Scattering ◽  
Loop Approximation ◽  
Scattering Lengths ◽  
The One

The aim of this work is to develop a set of programs for calculation the scattering amplitudes of the elementary particles, as well as automating the calculation of amplitudes using the appropriate computer algebra systems (Mathematica, Form, Cadabra). The paper considers the process of pion-pion scattering in the framework of the effective Nambu-Iona-Lasinio model with two quark flavours. The Package-X for Mathematica is used to calculate the scattering amplitude (starting with the calculation of Feynman diagrams and ending with the calculation of Feynman integrals in the one-loop approximation). The loop integrals are calculated in general kinematics in Package-X using the Feynman parametrization technique. A simple check of the program is made: for the case with zero temperature, the scattering lengths \(a_0 = 0.147\) and \(a_2 = -0.0475\) are calculated and the total cross section is constructed. The results are compared with other models as well as with experimental data.

scholarly journals Towards the P-wave nucleon-pion scattering amplitude in the $\Delta$ (1232) channel

2019 ◽  
Author(s):  
Srijit Paul ◽  
Giorgio Silvi ◽  
Constantia Alexandrou ◽  
Giannis Koutsou ◽  
Stefan Krieg ◽  
...  
Keyword(s):  
Scattering Amplitude ◽  
P Wave ◽  
Pion Scattering
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