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M. Rost

Publications and source records attributed to M. Rost.

26 records · Page 2Linked to original sources
arXiv2003

Double $π^0$ Photoproduction off the Proton at Threshold

The reaction $γp \to π^0 π^0 p$ has been measured using the TAPS BaF$_2$ calorimeter at the tagged photon facility of the Mainz Microtron accelerator. Chiral perturbation theory (ChPT) predicts that close to threshold this channel is significantly enhanced compared to double pion final states with charged pions. In contrast to other reaction channels, the lower order tree terms are strongly suppressed in 2$π^0$ photoproduction. The consequence is the dominance of pion loops in the 2$π^0$ channel close to threshold - a result that opens new prospects for the test of ChPT and in particular its inherent loop terms. The present measurement is the first which is sensitive enough for a conclusive comparison with the ChPT calculation and is in agreement with its prediction. The data also show good agreement with a calculation in the unitary chiral approach.

nucl-ex↗
arXiv2002

The reaction $γp \to π^\circ γ^\prime p$ and the magnetic dipole moment of the $Δ^+(1232)$ resonance

The reaction $γp \to π^\circ γ^\prime p$ has been measured with the TAPS calorimeter at the Mainz Microtron accelerator facility MAMI for energies between $\sqrt{s}$ = 1221--1331 MeV. Cross sections differential in angle and energy have been determined for all particles in the final state in three bins of the excitation energy. This reaction channel provides access to the magnetic dipole moment of the $Δ^{+}(1232)$ resonance and, for the first time, a value of $μ_{Δ^+} = (2.7_{-1.3}^{+1.0}(stat.) \pm 1.5 (syst.) \pm 3(theo.)) μ_N$ has been extracted.

nucl-ex↗
arXiv2001

Status of Nucleon Resonances with Masses $M<M_N+M_π$

We discuss different interpretations of peaks observed a few years ago by Tatischeff et al. in missing mass spectra of the reaction $pp->pi^+pX$, which were declared as new exited nucleon states with small masses. A study of the possible production of such states in the process $γp->pi^+N^*->pi^+ +γγn$ by analyzing the invariant mass spectrum of $γγn$ is proposed. It is shown that the data, obtained recently at MAMI-B, can allow to analyze this process and to get information about an existence of exited nucleon states with small masses.

nucl-th↗
arXiv2000

Conserved Dynamics and Interface Roughening in Spontaneous Imbibition : A Critical Overview

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties of the imbibition front, with particular attention to the conservation law associated to the fluid, to problems arising from the actual structure of the embedding medium, and to external influences such as evaporation and gravity. Our main conclusion is that the scaling of moving interfaces includes many crossover phenomena, with competition between the average capillary pressure gradient and its fluctuations setting the maximal lengthscale for roughening. We discuss the physics of both pinned and moving interfaces and the ability of the existing models to account for their properties.

cond-mat.dis-nn↗
arXiv2000

Conserved Dynamics and Interface Roughening in Spontaneous Imbibition : A Phase Field Model

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure of the disordered medium appearing as a quenched random field $α({\bf x})$. The flow of liquid into the medium is obtained by imposing a non-equilibrium boundary condition on the chemical potential, which reproduces Washburn's equation $H \sim t^{1/2}$ for the slowing down motion of the average interface position $H$. The interface is found to be superrough, with global roughness exponent $χ\approx 1.25$, indicating anomalous scaling. The spatial extent of the roughness is determined by a length scale $ξ_{\times} \sim H^{1/2}$ arising from the conservation law. The interface advances by avalanche motion, which causes temporal multiscaling and qualitatively reproduces the experimental results of Horv\a'ath and Stanley [Phys. Rev. E {\bf 52} 5166 (1995)] on the temporal scaling of the interface.

cond-mat.dis-nn↗
arXiv1999

Liquid Conservation and Non-local Interface Dynamics in Imbibition

The propagation and roughening of a liquid-gas interface moving through a disordered medium under the influence of capillary forces is considered. The system is described by a phase-field model with conserved dynamics and spatial disorder is introduced through a quenched random field. Liquid conservation leads to slowing down of the average interface position H and imposes an intrinsic correlation length ξ_\times \sim H^{1/2} on the spatial fluctuations of the interface. The interface is statistically self affine in space, with global roughness exponent χ\simeq 1.25 and exhibits anomalous scaling.

cond-mat.stat-mech↗
arXiv1994

Determination of the branching ratios $Γ(K_L \to 3 π^0) / Γ(K_L \to π^+ π^- π^0)$ and $Γ(K_L \to 3 π^0) / Γ(K_L \to πe ν)$

Improved branching ratios were measured for the $K_L \to 3 π^0 $ decay in a neutral beam at the CERN SPS with the NA31 detector: $Γ(K_L \to 3 π^0) / Γ(K_L \to π^+ π^- π^0) = 1.611 \pm 0.037$ and $Γ(K_L \to 3 π^0) / Γ(K_L \to πe ν) = 0.545 \pm 0.010$. From the first number an upper limit for $ΔI =5/2$ and $ΔI = 7/2 $ transitions in neutral kaon decay is derived. Using older results for the Ke3/K$μ$3 fraction, the 3$π^0$ branching ratio is found to be $Γ(K_L \to 3 π^0 )/ Γ_{tot} = (0.211 \pm 0.003)$, about a factor three more precise than from previous experiments.

hep-ex↗