arXiv subjects

U. -G. Meißner

Publications and source records attributed to U. -G. Meißner.

At least 127 records · Page 7Linked to original sources

arXiv2007

Strangeness S=-2 baryon-baryon interactions using chiral effective field theory

We derive the leading order strangeness S=-2 baryon-baryon interactions in chiral effective field theory. The potential consists of contact terms without derivatives and of one-pseudoscalar-meson exchanges. The contact terms and the couplings of the pseudoscalar mesons to the baryons are related via SU(3) flavor symmetry to the S=-1 hyperon-nucleon channels. We show that the chiral effective field theory predictions with natural values for the low-energy constants agree with the experimental information in the S=-2 sector.

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arXiv2007

Model-independent extraction of two-photon effects in elastic electron-proton scattering

We address the discrepancy between the Rosenbluth and polarization transfer data for the electromagnetic form factors of the nucleon. Assuming that the effect of two-photon corrections on the polarization transfer data is negligible, we obtain a model-independent estimate of the two-photon correction Delta^(2γ). We analyze the polarization transfer data and the cross section data separately using dispersion relations. A central value as well as an error estimate for Delta^(2γ) is then obtained from a comparison of the two analyses. The resulting values for Delta^(2γ) are in good agreement with direct calculations available in the literature.

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arXiv2006

Dispersive and absorptive corrections to the pion-deuteron scattering length

We present a parameter--free calculation of the dispersive and absorptive contributions to the pion--deuteron scattering length based on chiral perturbation theory. We show that once all diagrams contributing to leading order to this process are included, their net effect provides a small correction to the real part of the pion--deuteron scattering length. At the same time the sizable imaginary part of the pion--deuteron scattering length is reproduced accurately.

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arXiv2006

Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions

We study the production amplitude for the reaction $NN\to NNπ$ up to next-to-leading order in chiral perturbation theory. We show that the irreducible chiral loops at this order exactly cancel those terms that arise from the off-shell parts of the $πN$ rescattering vertex. This cancellation is required for formal consistency of the whole scheme. The net effect of the inclusion of all next-to-leading order loops is to enhance the leading rescattering amplitude by a factor of 4/3 compared to phenomenological studies, bringing its contribution to the cross section for $pp\to dπ^+$ close to the experimental value.

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arXiv2006

Dispersion analysis of the nucleon form factors including meson continua

Dispersion relations provide a powerful tool to analyse the electromagnetic form factors of the nucleon for all momentum transfers. Constraints from meson-nucleon scattering data, unitarity, and perturbative QCD can be included in a straightforward way. In particular, we include the 2pi, rho-pi, and KKbar continua as independent input in our analysis and provide an error band for our results. Moreover, we discuss two different methods to include the asymptotic constraints from perturbative QCD. We simultaneously analyze the world data for all four form factors in both the space-like and time-like regions and generally find good agreement with the data. We also extract the nucleon radii and the omega-NN coupling constants. For the radii, we generally find good agreement with other determinations with the exception of the electric charge radius of the proton which comes out smaller. The omega-NN vector coupling constant is determined relatively well by the fits, but for the tensor coupling constant even the sign can not be determined.

hep-ph↗

arXiv2006

Phenomenology of the Lambda/Sigma^0 production ratio in pp collisions

We show that the recently measured asymmetry in helicity-angle spectra of the Lambda-hyperons produced in the reaction pp -> K^+Lambda p reaction and the energy dependence of the total pp -> K^+Lambda p cross section can be explained consistently by the same Lambda p final-state interaction. Assuming that there is no final-state interaction in the Sigma^0 p channel, as suggested by the available data, we can also reproduce the energy dependence of the Lambda/Sigma^0 production ratio and, in particular, the rather large ratio observed near the reaction thresholds. The nominal ratio of the Lambda and Sigma^0 production amplitudes squared, i.e. when disregarding the final-state interaction, turns out to be about 3, which is in line with hyperon production data from proton and nuclear targets available at high energies.

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arXiv2006

Chiral corrections to the Roper mass

We analyze the quark mass dependence of the Roper mass to one-loop order in relativistic baryon chiral perturbation theory. The loop integrals are evaluated using infrared regularization which preserves chiral symmetry and establishes a chiral counting scheme. The derived chiral expansion of the Roper mass may prove useful for chiral extrapolations of lattice data. For couplings of natural size the quark mass dependence of the Roper mass is similar to the one of the nucleon.

hep-lat↗

arXiv2006

Comment on "Mass and KΛCoupling of the N*(1535)"

We comment on a recent paper by B.C. Liu and B.S. Zou [Phys. Rev. Lett. 96, 042002 (2006)] where it was argued that the coupling of the N*(1535) to KΛis even larger than its coupling to the ηN channel. Specifically, we point out that recently measured Dalitz plot distributions for pp -> pK^+Λprovide clear evidence for the importance of (pΛ) final-state interactions in this reaction and, at the same time, exclude a decisive role of the N*(1535) resonance, in contradiction to claims made by Liu and Zou.

hep-ph↗

arXiv2006

Phi-meson photoproduction from nuclei

We study coherent and incoherent phi-meson photoproduction from nuclei. The available data are analyzed in terms of single and coupled channel photoproduction. It is found that the data on coherent photoproduction can be well reproduced within a single channel optical model and show only little room for omega-phi mixing. These data indicate a normal distortion of the phi-meson in nuclei, which is compatible with the results obtained through the vector meson dominance model. The data on incoherent phi-meson photoproduction show an anomalous A-dependence resulting in a very strong phi-meson distortion. These data can be explained by a coupled channel effect through the dominant contribution from the omega -> phi or pi -> phi transition or, more speculative, through the excitation of a cryptoexotic B_phi-baryon.

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arXiv2006

K^- p scattering length from scattering experiments

The strong K^- p scattering length is extracted within chiral SU(3) unitary approaches from a very large variety of fits to low-energy K^- p scattering data. Very good overall agreement with available scattering data is obtained and the resulting scattering length is compared with the new accurate kaonic hydrogen data from DEAR. The pole structures of the obtained fits to experiment are critically examined.

hep-ph↗

arXiv2005

Aspects of phi-meson production in proton-proton collisions

We analyze near-threshold cross section data for the reaction pp->pp phi published by the DISTO collaboration and recent, still preliminary results presented by the ANKE Collaboration. We formulate a procedure to evaluate the OZI ratio at low energies by taking into account corrections from the kinematics and the final-state interaction. Combining the new data with the few measurements available at higher energies we give a limit for the OZI rule violation and estimate the possible contribution from a five-quark baryonic resonance coupled to the phi-p system.

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arXiv2005

Towards a field theoretic understanding of NN->NNpi

We study the production amplitude for the reaction NN->NNpi up to next--to--leading order in chiral perturbation theory using a counting scheme that takes into account the large scale introduced by the initial momentum. In particular we investigate a subtlety that arises once the leading loop contributions are convoluted with the NN wavefunctions as demanded by the non--perturbative nature of the NN interaction. We show how to properly identify the irreducible contribution of loop diagrams in such type of reaction. The net effect of the inclusion of all next-to-leading order loops is to enhance the leading rescattering amplitude by a factor of 4/3, bringing its contribution to the cross section for pp->dpi+ close to the experimental value.

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arXiv2005

The triton and three-nucleon force in nuclear lattice simulations

We study the triton and three-nucleon force at lowest chiral order in pionless effective field theory both in the Hamiltonian and Euclidean nuclear lattice formalism. In the case of the Euclidean lattice formalism, we derive the exact few-body worldline amplitudes corresponding to the standard many-body lattice action. This will be useful for setting low-energy coefficients in future nuclear lattice simulations. We work in the Wigner SU(4)-symmetric limit where the S-wave scattering lengths {1}S{0} and {3}S{1} are equal. By comparing with continuum results, we demonstrate for the first time that the nuclear lattice formalism can be used to study few-body nucleon systems.

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arXiv2005

Gauge invariance in two-particle scattering

It is shown how gauge invariance is obtained for the coupling of a photon to a two-body state described by the solution of the Bethe-Salpeter equation. This is illustrated both for a complex scalar field theory and for interaction kernels derived from chiral effective Lagrangians.

hep-ph↗

arXiv2005

Precision calculation of $γd\to π^+ nn$ within chiral perturbation theory

The reaction $γd\to π^+ nn$ is calculated up to order $χ^{5/2}$ in chiral perturbation theory, where $χ$ denotes the ratio of the pion to the nucleon mass. Special emphasis is put on the role of nucleon--recoil corrections that are the source of contributions with fractional power in $χ$. Using the known near threshold production amplitude for $γp\to π^+ n$ as the only input, the total cross section for $γd\to π^+ nn$ is described very well. A conservative estimate suggests that the theoretical uncertainty for the transition operator amounts to 3 % for the computed amplitude near threshold.

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arXiv2005

The K^- αscattering length and the reaction dd \to αK^+ K^-

We present predictions for the the K^- αscattering length obtained within the framework of the multiple scattering approach. Evaluating the pole position of the K^- αscattering amplitude within the zero range approximation, we find a loosely bound K^- αstate with a binding energy of E_R = -2 ... -7 MeV and a width Γ_R = 11 ... 18 MeV. We propose to measure the K^- αscattering length through the final state interaction between the αand K^- meson produced in the reaction dd \to αK^+ K^-. It is found that the K^-αinvariant mass distribution from this reaction at energies near the threshold provides a new tool to determine the s-wave K^- αscattering length.

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arXiv2004

On the correlation between the binding energies of the triton and the alpha-particle

We consider the correlation between the binding energies of the triton and the alpha-particle which is empirically observed in calculations employing different phenomenological nucleon-nucleon interactions. Using an effective quantum mechanics approach for short-range interactions with large scattering length |a| >> l, where l is the natural low-energy length scale, we construct the effective interaction potential at leading order in l/|a|. In order to renormalize the four-nucleon system, it is sufficient to include a SU(4)-symmetric one-parameter three-nucleon interaction in addition to the S-wave nucleon-nucleon interactions. The absence of a four-nucleon force at this order explains the empirically observed correlation between the binding energies of the triton and the alpha-particle. We calculate this correlation and obtain a prediction for the alpha-particle binding energy. Corrections to our results are suppressed by l/|a|.

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arXiv2004

Remarks on the parity determination of narrow resonances

Recently several proposals were put forward to determine the parity of narrow baryonic resonances, in particular the $Θ^+$. In these proceedings we will briefly comment on the general problems in this task and then discuss in detail the potential of reactions of the type $\vec N\vec N\toΘ^+Y$, where $Y$ denotes a hyperon (either $Σ$ or $Λ$) and the arrows indicate that a polarized initial state is required. Besides reiterating the model--independent properties of this class of reactions we discuss the physics content of some model calculations.

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