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Chiral perturbation theory calculation for pn \( \rightarrow\) d\( \pi\) \( \pi\) at threshold

  • B. C. Liu
  • V. BaruEmail author
  • J. Haidenbauer
  • C. Hanhart
Regular Article - Theoretical Physics

Abstract.

We investigate the reaction pn \( \rightarrow\) d \( \pi\) \( \pi\) in the framework of Chiral Perturbation Theory (ChPT). For the first time a complete calculation of the leading-order contributions is presented. We identify various diagrams that are of equal importance as compared to those recognized in earlier works. The diagrams at leading order behave as expected by the power counting. Also for the first time the nucleon-nucleon interaction in the initial, intermediate and final state is included consistently and found to be very important. Although the perturbative series for the production operator is expected to converge very slowly, this study provides the theoretical basis for a future evaluation of the non-resonant contributions in two-pion production reactions in nucleon-nucleon collisions.

Keywords

Partial Wave Pion Production Power Counting Baru Deuteron Wave Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • B. C. Liu
    • 1
    • 2
  • V. Baru
    • 2
    • 3
    Email author
  • J. Haidenbauer
    • 2
    • 4
  • C. Hanhart
    • 2
    • 4
  1. 1.School of ScienceXian Jiaotong UniversityXianChina
  2. 2.Institut für Kernphysik and Jülich Center for Hadron PhysicsForschungszentrum JülichJülichGermany
  3. 3.Institute for Theoretical and Experimental PhysicsMoscowRussia
  4. 4.Institute for Advanced SimulationForschungszentrum JülichJülichGermany

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