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

Motzke, Andreas; Elster, Ch.; Hanhart, C.

doi:10.1103/physrevc.66.054002

Cited by 9 publications

(10 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Future work should avoid some of the technical approximations, e.g. by an explicit treatment of the three-body singularities [50]. In addition, and most importantly, further mechanisms for η-meson production should be explored.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Production of η mesons in nucleon-nucleon collisions

et al. 2003

Self Cite

View full text Add to dashboard Cite

A microscopic calculation of near-threshold η-meson production in the reaction N N → N N η is presented. It is assumed that the η meson is produced via direct emission and via elementary rescattering processes M N → ηN of various mesons M = π, ρ, etc. As a novel feature the amplitudes for the latter production mechanism are taken from a multi-channel meson-exchange model of the πN system developed by the Jülich group which contains explicitly the channels πN , ρN , ηN , σN , and π∆. Furthermore, effects of the N N interaction in the final as well as in the initial state are taken into account microscopically. Our results are compared with recent data from the COSY and CELSIUS accelerator facilities. Reasonable agreement with available near-threshold cross section data for the reactions pp → ppη, pn → pnη, and pn → dη is found.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Due to 3-body singularities appearing in the loop with the ISI the evaluation of the PV integral is very involved [50]. In the present work we avoid the technically rather tedious explicit treatment of this 3-body singularity.…”

Section: N N Interaction In the Initial Statementioning

confidence: 99%

Production of η mesons in nucleon-nucleon collisions

et al. 2003

Self Cite

View full text Add to dashboard Cite

show abstract

“…A theoretical control of the energy for the loop integration embedding the nonrelativistic reduction of the Feynman -exchange diagram in the nonrelativistic nucleon-nucleon wave functions is then still needed, as pointed out before in Refs. [14,15]. In this paper we deal with the isoscalar rescattering term for the pp → pp 0 reaction, near threshold.…”

Section: Introductionmentioning

confidence: 99%

Pion rescattering inπ0production

Malafaia

Peña

2004

Phys. Rev. C

View full text Add to dashboard Cite

This work discusses the approximations frequently used to calculate the contribution to pion production in proton-proton scattering near threshold from irreducible pion rescattering. The reference result is obtained from the quantum-mechanical reduction of the corresponding Feynman diagram to time-ordered-field-theory diagrams. We conclude that the distorted wave Born approximation is quite adequate at threshold energies and even above. We discuss the choices for the energy of the exchanged pion, both for its propagator and for the N amplitude describing the rescattering vertex. The calculation employs a physical model for nucleons and pions-pseudovector coupling for the NN vertex and realistic amplitudes for the N rescattering and for the NN transitions in the initial and final states.

show abstract

“…Only recently was a method developed that in the future will allow inclusion of those singularities in calculations within the distorted wave born approximation [231]. This method was already applied in a toy model calculation [232], where its usefulness was demonstrated.…”

mentioning

confidence: 99%

Meson production in nucleon?nucleon collisions close to the threshold

Hanhart¹

2004

Physics Reports

233

228

View full text Add to dashboard Cite

The last decade has witnessed great experimental progress that has led to measurements of near threshold cross sections-polarized as well as unpolarized-of high accuracy for various inelastic nucleon-nucleon collision channels. These data, naturally, pose challenges to theorists to develop methods by which they can be understood and explained in commensurate detail.In this work we review the status of the present theoretical understanding of this class of reactions with special emphasis on model-independent methods. We discuss in detail not only the many observables involved in the reactions, but also the physical questions that can be addressed by studying them in the various reaction channels. The special advantages of nucleon-nucleon induced reactions are stressed.Foremost among these is the use of the initial and final states as a spin/isospin filter. This opens, for example, a window into the spin dependence of the hyperon-nucleon interaction and the dynamics of the light scalar mesons.

show abstract

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

Cited by 9 publications

References 23 publications

Production of η mesons in nucleon-nucleon collisions

Production of η mesons in nucleon-nucleon collisions

Pion rescattering inπ0production

Meson production in nucleon?nucleon collisions close to the threshold

Contact Info

Product

Resources

About