arXiv subjects

O. Scholten

Publications and source records attributed to O. Scholten.

101 records · Page 6Linked to original sources

arXiv2000

Compton scattering in a unitary approach with causality constraints

Pion-loop corrections for Compton scattering are calculated in a novel approach based on the use of dispersion relations in a formalism obeying unitarity. The basic framework is presented, including an application to Compton scattering. In the approach the effects of the non-pole contribution arising from pion dressing are expressed in terms of (half-off-shell) form factors and the nucleon self-energy. These quantities are constructed through the application of dispersion integrals to the pole contribution of loop diagrams, the same as those included in the calculation of the amplitudes through a K-matrix formalism. The prescription of minimal substitution is used to restore gauge invariance. The resulting relativistic-covariant model combines constraints from unitarity, causality, and crossing symmetry.

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arXiv2000

Dressing the nucleon in a dispersion approach

We present a model for dressing the nucleon propagator and vertices. In the model the use of a K-matrix approach (unitarity) and dispersion relations (analyticity) are combined. The principal application of the model lies in pion-nucleon scattering where we discuss effects of the dressing on the phase shifts.

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arXiv1999

Non-perturbative model for the half-off-shell γN N vertex

Form factors in the nucleon-photon vertex with one off-shell nucleon are calculated by dressing the vertex with pion loops up to infinite order. Cutting rules and dispersion relations are implemented in the model. Using the prescription of minimal substitution we construct a γπN N vertex and show that it has to be included in the model in order that the Ward-Takahashi identity for the γN N vertex be fulfilled. The vertex is to be applied in a coupled-channel K-matrix formalism for Compton scattering, pion photoproduction and pion scattering. The form factors show a pronounced cusp structure at the pion threshold. As an illustration of a consistent application of the model, we calculate the cross section of Compton scattering. To provide gauge invariance in Compton scattering, a four-point γγN N contact term is constructed using minimal substitution.

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arXiv1999

Q^2-Dependence of the Drell-Hearn-Gerasimov integral

The energy and four-momentum (Q^2) dependence of the photo-absorption cross section on the proton is calculated for helicity -1/2 and -3/2 states. An effective Lagrangian model is used, formulated in terms of meson and baryon degrees of freedom, which obeys crossing symmetry, unitarity, Lorentz and gauge invariance. The difference in the cross sections for the two helicity states, the Drell-Hearn-Gerasimov integral $I_{DHG}(Q^2)$, is evaluated at different $Q^2$. We find that at small momentum transfer the absolute value of $I_{DHG}(Q^2)$ first increases to reach a maximum at $Q^2 \approx 0.05 GeV^2$ before decreasing at higher $Q^2$.

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arXiv1998

Pion and photon couplings of N* resonances from scattering on the proton

Results of a relativistic model for pion- and photon-induced reactions on the proton are presented. The model is crossing symmetric and gauge invariant. The nucleon resonances P_11 (1440), P_11 (1710), D_13 (1520), S_11 (1535), S_11 (1650), P_33 (1232), P_33 (1600), S_31 (1620), and D_33 (1700) have been included explicitly in the calculation. Unitarity within the channel space πN + γN below the two-pion production threshold has been achieved by using the K-matrix approach. Strong and electromagnetic coupling parameters of the N* resonances have been determined from a fit to the pion-nucleon phase shifts, pion-photoproduction multipoles and Compton-scattering cross sections. The model is shown to describe simultaneously most of the available data. Results for the electric and magnetic polarizabilities of the nucleon are presented.

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arXiv1998

Consistent off-shell $πN N$ vertex and nucleon self-energy

We present a consistent calculation of half-off-shell form factors in the pion-nucleon vertex and the nucleon self-energy. Numerical results are presented. Near the on-shell point the pion-nucleon vertex is dominated by the pseudovector coupling, while at large nucleon invariant masses we find a sizable pseudoscalar admixture.

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arXiv1998

Production of e+e- pairs in proton-deuteron capture to 3He

The process p+d \leftrightarrow 3He + γ* at intermediate energies is described using a covariant and gauge-invariant model, and a realistic pd3He vertex. Both photodisintegration of 3He and proton-deuteron capture with production of e+e- pairs are studied, and results for cross sections and response functions are presented. The effect of time-like formfactors on the dilepton cross sections is investigated as well.

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arXiv1997

On electromagnetic off-shell effects in proton-proton bremsstrahlung

We study the influence of the off-shell structure of the nucleon electromagnetic vertex on proton-proton bremsstrahlung observables. Realistic choices for these off-shell effects are found to have considerable influences on observables such as cross sections and analyzing powers. The rescattering contribution diminishes the effects of off-shell modifications in negative-energy states.

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arXiv1997

Lepton-Pair Production in Virtual Compton Scattering off the Proton

We show that lepton-pair production in Virtual Compton Scattering offers, through interference with the well-known Bethe-Heitler process, a sensitive probe to learn the longitudinal response of resonances and the electromagnetic nucleon form factors. This interference can be measured directly in terms of an asymmetry. The role of off-shell effects in the N-N-$γ$ vertices is investigated as well. An additional N-N-$γ-γ$ contact term in the amplitude, included to ensure gauge invariance of the model, cancels a substantial part of the off-shell effects.

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arXiv1996

Pion and photon induced reactions on the nucleon in a unitary model

We present a relativistic calculation of pion scattering, pion photoproduction and Compton scattering on the nucleon in the energy region of the \Del-resonance (upto 450 MeV photon lab energy), in a unified framework which obeys the unitarity constraint. It is found that the recent data on the cross section for nucleon Compton scattering determine accurately the parameters of the electromagnetic nucleon--\Del\ coupling. The calculated pion-photoproduction partial-wave amplitudes agree well with the recent Arndt analysis.

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arXiv1993

Dilepton production from virtual bremsstrahlung induced by proton capture

Dilepton production following radiative capture of a proton on a nuclear target is studied in the Impulse Approximation. The cross section is decomposed in terms of four time-like nuclear structure functions through a longitudinal-transverse separation of the nuclear current. Using a simple PWIA model, cross sections and conversion factors are calculated for capture reactions p + n >> d + e^+ e^-, p + p >> 2He + e^+ e^- and p + 11B >> 12C + e^+ e^- at proton energies of 100-200 MeV. The result is compared with a recent measurement of the conversion factor for p + 11B.

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