Toy model for pion production in nucleon-nucleon collisions

Hanhart, C.; Miller, Gerald A.; Myhrer, F.; Satô, Tôru; Kolck, U. van

doi:10.1103/physrevc.63.044002

Cited by 29 publications

(65 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Alternatively, one can turn to the production of P-wave pions. There one might hope that the series is better behaved, since the LO contribution is large 216 . The results from early studies of the production of P-wave pions in χPT are encouraging, but the expansion parameter remains large.…”

Section: Pion Productionmentioning

confidence: 99%

From Hadrons to Nuclei: Crossing the Border

Beane

Bedaque

Haxton

et al. 2001

At the Frontier of Particle Physics

123

190

View full text Add to dashboard Cite

The study of nuclei predates by many years the theory of quantum chromodynamics. More recently, effective field theories have been used in nuclear physics to "cross the border" from QCD to a nuclear theory. We are now entering the second decade of efforts to develop a perturbative theory of nuclear interactions using effective field theory. This chapter describes the current status of these efforts.

show abstract

Section: Pion Productionmentioning

confidence: 99%

From Hadrons to Nuclei: Crossing the Border

Beane

Bedaque

Haxton

et al. 2001

At the Frontier of Particle Physics

123

190

View full text Add to dashboard Cite

show abstract

“…[12]; in Section III the algorithm for the exact numerical evaluation of the three-body breakup singularity is given; in Section IV we present our numerical results; and we conclude in Section V.…”

Section: Introductionmentioning

confidence: 99%

“…Recently a simple, scalar 'toy' model for pion production was proposed in order to investigate the validity of several approximations used with respect to the energy dependence in the pion propagator as well as in the πN amplitude [12]. Although the model used in Ref.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Toy model for pion production in nucleon-nucleon collisions. II. The role of three-particle singularities

2002

Self Cite

View full text Add to dashboard Cite

The influence of three-particle breakup singularities on s-wave meson production in nucleon-nucleon collisions is studied within the distorted wave Born approximation. This study is based on a simple scalar model for the twonucleon interaction and the production mechanism. An algorithm for the exact numerical treatment of the inherent three-body cuts, together with its straightforward implementation is presented. It is also shown that two oftenused approximations to avoid the calculation of the three-body breakup are not justified. The possible impact on pion production observables is discussed. PACS number(s): 25.40Qa,13.60Le

show abstract

“…[10]. As usual in effective field theories a number of parameters appear whose strength is not constrained by symmetry.…”

mentioning

confidence: 99%

NN → NNπ from the effective field theory point of view: short comings and gains

Hanhart¹

2001

Chiral Dynamics

Self Cite

View full text Add to dashboard Cite

Based on a counting scheme for the application of chiral perturbation theory to pion production in NN collisions p-wave production is studied. It is demonstrated that, contrary to the s-wave production where loops enter at too low an order to allow the scheme predictive power, there are certain p-wave observables where parameter free predictions are possible. These predictions are consistent with experimental data. We show that the investigation of charged pion production yields a constraint on a contribution to the three-nucleon force with a spin-isospin structure that could resolve the A y puzzle in nd scattering.

show abstract

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.

Cited by 29 publications

References 17 publications

From Hadrons to Nuclei: Crossing the Border

From Hadrons to Nuclei: Crossing the Border

Toy model for pion production in nucleon-nucleon collisions. II. The role of three-particle singularities

NN → NNπ from the effective field theory point of view: short comings and gains

Contact Info

Product

Resources

About