A relativistic two-nucleon model for (p, π) reactions

We investigate the A(p, K + ) Λ B reaction within a covariant two nucleon model. We focus on amplitudes which are described by creation, propagation and decay into relevant channel of N * (1650), N * (1710), and N * (1720) intermediate baryonic resonance states in the initial collision of the projectile nucleon with one of its target counterparts This collision is modeled by the exchange of π as well as ρ and ω mesons. The bound state nucleon and hyperon wave functions are obtained by solving the Dirac equation with appropriate scalar and vector potentials. Expressions for the reaction amplitudes are derived taking continuum particle wave functions in both distorted wave and plane wave approximations. Detailed numerical results are presented in the plane wave approximation; estimates of the effects of the initial and final state interactions are given in the eikonal approximation. Cross sections of 1 -2 nb/sr at the peak positions, are obtained for favored transitions in case of heavier targets. PACS numbers: 25.40.V e, 13.75. − n,, 13.75.Jz

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“…For the graph 2(c) also it is unity. The functions ψ are the four component (spin space) Dirac spinor in momentum space [19,43]. Φ…”

Section: Calculations Of the Tnm Amplitudesmentioning

confidence: 99%

A relativistic two-nucleon model for reaction

2006

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“…A thorough investigation of the pion production in the elementary NN collisions within a fully relativistic model is essential in the context of recent efforts to develop a covariant two nucleon model (TNM) to describe the A(p, π)B reactions [9,10], where several parameters have to be fixed from the study of the former reaction. The precise information about the pion production cross sections in elementary NN collisions is also important for the description of the dynamics of the heavy ion collisions within the kinetic theories (eg.…”

Section: Introductionmentioning

confidence: 99%

Pion production in proton-proton collisions in a covariant one-boson-exchange model

et al. 1996

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Motivated by the renewed interest in studying the pion production on nuclei with protons at few GeV incident energies, we investigate the pion production in proton-proton collisions over an energy range of 300 M eV to 2 GeV . Starting from a realistic one-boson exchange model with parameters fitted to the amplitudes of the elastic nucleon-nucleon scattering, we perform fully covariant calculations for the total, double and triple differential cross-sections of the p(p, nπ + )p and p(p, pπ 0 )p reactions. The calculations incorporate the exchange of π, ρ, ω and σ mesons and treat nucleon and delta isobar as intermediate states. We obtain a reasonably good agreement with the experimental data in the entire range of beam energies. The form of the covariant delta propagator, the cut-off parameter for the πN N and πN ∆ vertex form factors and the energy dependence of the delta isobar decay width is investigated. * Work supported by GSI, Darmstadt, KFA Jülich and JSPS.

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“…The distortion effects in the incident and outgoing channels are also being taken into account in much the same way as it has been done in the TNM calculations of the (p, π) reaction in Ref. [25]. and vector potentials.…”

Section: Formalismmentioning

confidence: 99%

“…1b and 1c] which can be evaluated numerically by using the techniques described in Refs. [15,25]. While writing the amplitudes the isospin part is treated separately which gives rise to a constant factor for each graph.…”

Section: Formalismmentioning

confidence: 99%

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ExclusiveK+production in proton-nucleus collisions

2004

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The exclusive K + meson production in a proton-nucleus collision, leading to two body final states, is investigated in a fully covariant two-nucleon model based on the effective Lagrangian picture. The explicit kaon production vertex is described via creation, propagation and decay into relevant channel of N * (1650), N * (1710) and N * (1720) intermediate baryonic states in the initial collision of the projectile nucleon with one of its target counterparts which is modeled by the onepion exchange process. The calculated cross sections show strong sensitivity to the medium effects on pion propagator and to the final hypernuclear state excited in the reaction.PACS numbers: 25.40.V e, 13.75. − n,, 13.75.Jz

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A relativistic two-nucleon model for (p, π) reactions

Cited by 9 publications

References 25 publications

A relativistic two-nucleon model for reaction

A relativistic two-nucleon model for reaction

Pion production in proton-proton collisions in a covariant one-boson-exchange model

ExclusiveK+production in proton-nucleus collisions

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