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Double pion production in NN and bar{N}N collisions

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arxiv 1009.1063 v1 pith:7UG5AQFU submitted 2010-09-06 nucl-th

Double pion production in NN and bar{N}N collisions

classification nucl-th
keywords deltaresonancesbaryoncontributionsdataenergiesanalysisanalyzing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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With an effective Lagrangian approach, we give a full analysis on the $NN \to NN\pi\pi$ and $\bar{N}N\to \bar{N}N\pi\pi$ reactions by exploring the roles of various resonances with mass up to 1.72 GeV. We find large contributions from $\Delta$, $N^*(1440)$, $\Delta(1600)$ and $\Delta(1620)$ resonances. Our calculations also indicate sizeable contributions from nucleon poles for the energies close to the threshold. A good description to the existing data of different isospin channels of $NN\to NN\pi\pi$ and $\bar{N}N\to \bar{N}N\pi\pi$ for beam energies up to 2.2 GeV is reached. Our results provide important implications to the ABC effect and guildlines to the future experimental projects at COSY, HADES and HIRFL-CSR. We point out that the \={P}ANDA at FAIR could be an essential place for studying the properties of baryon resonances and the data with baryon and anti-baryon in final states are worth analyzing.

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