arXiv subjects

O. Krehl

Publications and source records attributed to O. Krehl.

9 recordsLinked to original sources

arXiv2000

Polarization phenomena in the reaction NN to NNpi near threshold

First calculations for spin-dependent observables of the reactions $pp \to ppπ^0$, $pp \to pnπ^+$ and $pp \to dπ^+$ near threshold are presented, employing the Jülich model for pion production. The influence of resonant (via the excitation of the $Δ(1232)$) and non-resonant p-wave pion production mechanisms on these observables is examined. For the reactions $pp \to pnπ^+$ and $pp \to dπ^+$ nice agreement of our predictions with the presently available data on spin correlation coefficents is observed whereas for $pp \to ppπ^0$ the description of the data is less satisfying.

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arXiv1999

What is the structure of the Roper resonance?

We investigate the structure of the nucleon resonance N^*(1440) (Roper) within a coupled-channel meson exchange model for pion-nucleon scattering. The coupling to pipiN states is realized effectively by the coupling to the sigmaN, piDelta and rhoN channels. The interaction within and between these channels is derived from an effective Lagrangian based on a chirally symmetric Lagrangian, which is supplemented by well known terms for the coupling of the Delta isobar, the omega meson and the 'sigma', which is the name given here to the strong correlation of two pions in the scalar-isoscalar channel. In this model the Roper resonance can be described by meson-baryon dynamics alone; no genuine N^*(1440) (3 quark) resonance is needed in order to fit piN phase shifts and inelasticities.

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arXiv1999

The piNN vertex function in a meson-theoretical model

The piNN vertex function is calculated within a dispersion theoretical approach, including both pi-rho and pi-sigma intermediate states, where the sigma meson is an abbreviation for a correlated pion pair in a relative S-wave with isospin I=0. A strong coupling between the pi-sigma and the pi-rho states is found. This leads to a softening of the piNN form factor. In a monopole parameterization, a cut-off Lambda=800 MeV is obtained as compared to Lambda=1000 MeV using pi-rho intermediate states only.

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arXiv1999

What does `rho-exchange' in piN scattering mean?

We present an alternative method for calculating amplitudes for correlated pi pi exchange in the ``sigma'' and rho channel in piN scattering. Starting from a fixed mass meson exchange potential, we introduce the width of the exchanged particles by integrating over a mass spectral function. The spectral functions are constructed from the pseudoempirical N\bar{N} -> pi pi data. Using this approach we develop a prescription for resolving ambiguities of the correlated pi pi exchange in the rho channel that occur when different dispersion theoretical formulations of rho exchange are used to construct piN potentials.

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arXiv1998

Enhancement of $πA \to ππA$ Threshold Cross Sections by In-Medium $ππ$ Final State Interactions

We address the problem of pion production in low energy $π$-nucleus collisions. For the production mechanism we assume a simple model consisting of a coherent sum of single pion exchange and the excitation---followed by the decay into two pions and a nucleon---of the $N^*(1440)$ resonance. The production amplitude is modified by the final state interaction between the pions calculated using the chirally improved Jülich meson exchange model including the polarization of the nuclear medium by the pions. The model reproduces well the experimentally observed $πA \to ππA$ cross sections, especially the enhancement with increasing $A$ of the $π^+π^-$ mass distribution in the threshold region.

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arXiv1998

Role of the $Δ$ isobar in the reaction $NN \to NNπ$ near threshold

A model calculation for pion production in nucleon-nucleon collisions is presented. Direct production, pion rescattering and contributions from pair diagrams are taken into account. The amplitudes for the elementary processes are based on well established microscopic models of nucleon-nucleon and pion-nucleon scattering. The $Δ(1232)$ is included explicitly and is found to play an important role even at energies close to production threshold. A good overall agreement with existing data from the pion production threshold up to the Delta resonance region is achieved.

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arXiv1998

Radiative corrections to the background of $μ\to eγ$ decay

Radiative muon decay in the kinematics similar to the neutrinoless decay $μ\to eγ$ is considered. Radiative corrections due to 1-loop virtual photons and emission of additional soft or hard photons are taken into account. Analytical expressions and numerical estimations are presented.

hep-ph↗

arXiv1997

Working group on $ππ$ and $π$N interactions - Summary

This is the summary of the working group on $ππ$ and $π$N interactions of the Chiral Dynamics Workshop in Mainz, September 1-5, 1997. Each talk is represented by an extended one page abstract. Some additional remarks by the convenors are added

hep-ph↗

arXiv1996

Meson-meson scattering: $K\overline{K}$-thresholds and $f_{0}(980) - a_{0}(980)$ mixing

We study the influence of mass splitting between the charged and neutral pions and kaons in the Juelich meson exchange model for $ππ$ and $πη$ scattering. The calculations are performed in the particle basis, which permits the use of physical masses for the pseudoscalar mesons and a study of the distinct thresholds associated with the neutral and the charged kaons. Within this model we also investigate the isospin violation which arises from the mass splitting and an apparent violation of G-parity in $ππ$ scattering which stems from the coupling to the $K\overline{K}$ channel. Nonvanishing cross sections for $ππ\rightarrow π^{0}η$ indicate a mixing of the $f_{0}(980)$ and $a_{0}(980)$ states.

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