On the S–wave πD–scattering length in the relativistic field theory model of the deuteron
نویسنده
چکیده
The S–wave scattering length of the strong pion–deuteron (πD) scattering is calculated in the relativistic field theory model of the deuteron suggested in [1,2].The theoretical result agrees well with the experimental data. The important role of the ∆–resonance contribution to the elastic πD–scattering is confirmed. PACS: 11.10. Ef, 12.39. Fe, 13.75. Cs, 13.75 Gx
منابع مشابه
Role of the ∆(1232) in pion-deuteron scattering at threshold within chiral effective field theory
We investigate the role of the delta isobar in the reaction πd → πd at threshold in chiral effective field theory. We discuss the corresponding power counting and argue that this calculation completes the evaluation of diagrams up to the order χ, with χ the ratio of the pion to the nucleon mass. The net effect of all delta contributions at this order to the pion-deuteron scattering length is δa...
متن کاملChiral corrections to the isovector double scattering term for the pion-deuteron scattering length
The empirical value of the real part of the pion-deuteron scattering length can be well understood in terms of the dominant isovector πN -double scattering contribution. We calculate in chiral perturbation theory all one-pion loop corrections to this double scattering term which in the case of πN -scattering close the gap between the current-algebra prediction and the empirical value of the iso...
متن کاملUnitarity constraint for threshold coherent pion photoproduction on the deuteron and chiral perturbation theory
The contribution of the two-step process γd → pn → π0d to the imaginary part of the amplitude for coherent pion production on the deuteron is calculated exploiting unitarity constraints. The result shows that this absorptive process is not negligible and has to be considered in an extraction of the elementary neutron production amplitude from the γd → π0d cross section at threshold. In addition...
متن کاملThe S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
The pion-deuteron scattering length is computed to next-to-next-to-leading order in baryon chiral perturbation theory. A modified power-counting is then formulated which properly accounts for infrared enhancements engendered by the large size of the deuteron, as compared to the pion Compton wavelength. We use the precise experimental value of the real part of the pion-deuteron scattering length...
متن کاملThe S Wave Pion Deuteron Scattering Length in Effective Field Theory
The S wave pion deuteron scattering length is presented at NLO in the Effective Field Theory formulation of the two nucleon system with perturbative pions. At this order, this observable is determined by the iso-scalar S wave pion nucleon scattering length a+, by pion re-scattering contributions inside the deuteron and by two nucleon two pion contact interactions that involve two unknown parame...
متن کامل