Toy Model for Pion Production in Nucleon-Nucleon Collisions

Abstract

We develop a toy model of pion production in nucleon-nucleon collisions that reproduces some of the features of the chiral Lagrangian calculations. We calculate the production amplitude and examine some common approximations.

9 pages, 3 figures

References in corpus (2)

• Chiral Three-Nucleon Forces from p-wave Pion Production
• The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach

Cited by in corpus (17)

• Effective Field Theory for Few-Nucleon Systems
• Meson production in nucleon--nucleon collisions close to the threshold
• Towards a field theoretic understanding of NN->NNpi
• Survey of charge symmetry breaking operators for dd -> alpha pi0
• Realistic Few-Body Physics in the $dd\to \alpha {\pi }^0$ Reaction
• Effective Field Theory calculations of $NN\to NN\pi$
• Nuclear Effective Field Theories: Reverberations of the early days
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Toy Model for Pion Production II: The role of three-particle singularities
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Impulse approximation in nuclear pion production reactions: absence of a one-body operator
• Pion re-scattering in pi0 production
• Pion re-scattering operator in the S-matrix approach
• Impulse approximation in the n p --> d pi^0 reaction reexamined
• Charged and neutral pion production in the S-matrix approach
• Charge Symmetry Breaking and Nuclear Pion Production Reactions
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --