Phase shift analysis of low energy π±p scattering data and a comparison with pionic hydrogen data
نویسنده
چکیده
Using newly calculated electromagnetic corrections [1], [2], we have made a phase shift analysis of the experimental data on πp elastic scattering up to a pion laboratory kinetic energy of 100 MeV. The effective hadronic interaction was assumed to be isospin invariant. The output consists of six hadronic phase shifts in parametrised form: the s-, p1/2and p3/2-waves for total isospin 3/2 and 1/2. It is not possible, using these phase shifts, to fit the πp charge exchange data satisfactorily. We give the values of the s-wave scattering lengths and effective ranges and the p-wave scattering volumes obtained from the parametrisations and compare the combinations 2a1 + a3 and a1 − a3 of s-wave hadronic scattering lengths extracted from the results of experiments on pionic hydrogen with those obtained from our phase shift analysis. PACS: 13.75.Gx,25.80.Dj
منابع مشابه
Spectrum and Decays of Hadronic Atoms
Using non relativistic effective Lagrangian techniques, we analyze the hadronic decay of the π+π− atom and the strong energy-level shift of pionic hydrogen in the ground state. We derive general formulae for the width and level shift, valid at next-to-leading order in isospin breaking. The result is expressed in terms of hadronic threshold amplitudes that include isospin-breaking effects. In or...
متن کاملGround-state energy of pionic hydrogen to one loop
We investigate the ground-state energy of the π−p atom (pionic hydrogen) in the framework of QCD+QED. In particular, we evaluate the strong energy-level shift. We perform the calculation at next–to–leading order in the low–energy expansion in the framework of the relevant effective field theory. The result provides a relation between the strong energy shift and the pion-nucleon S-wave scatterin...
متن کاملDetermination of the s-wave pion-nucleon threshold scattering parameters from the results of experiments on pionic hydrogen
We give the conversion equations which lead from experimental values of the 3p → 1s transition energy in pionic hydrogen and the total width of the 1s level to values of the s-wave threshold scattering parameters for the processes π−p → π−p and π−p → πn respectively. Using a three-channel potential model, we then calculate the electromagnetic corrections to these quantities, which remove the ef...
متن کاملThe pion - nucleon scattering lengths from pionic deuterium ⋆
We use the framework of effective field theories to discuss the determination of the S-wave πN scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several steps. Initially, the precise value of the pion-deuteron scattering length aπd is extracted from the data. Next, aπd is related to the S-wave πN scattering lengt...
متن کاملElastic-Scattering Data
We report the results of a phase-shift analysis (PSA) of the low-energy elastic-scattering data. Following the method which we had set forth in our previous PSA [1], we first investigate the self-consistency of the low-energy elastic-scattering databases, via two separate analyses of (first) the and (subsequently) the elasticscattering data. There are two main differences to our previous PSA: 1...
متن کامل