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Gubler, Philipp

Publications and source records attributed to Gubler, Philipp.

D mesons in a magnetic field

In this paper, we investigate the mass spectra of open heavy flavor mesons in an external constant magnetic field within QCD sum rules. Spectral Ansatze on the phenomenological side are proposed in order to properly take into account mixing effects between the pseudoscalar and vector channels, and the Landau levels of charged mesons. The operator product expansion is implemented up to dimension-5 operators. As a result, we find for neutral D mesons a significant positive mass shift that goes beyond simple mixing effects. In contrast, charged D mesons are further subject to Landau level effects, which together with the mixing effects almost completely saturate the mass shifts obtained in our sum rule analysis.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Relating the strangeness content of the nucleon with the mass shift of the ϕ meson in nuclear matter

The behavior of the ϕ meson at finite density is studied, making use of a QCD sum rule approach in combination with the maximum entropy method. It is demonstrated that a possible mass shift of the ϕ in nuclear matter is strongly correlated to the strangeness content of the nucleon, which is proportional to the strange sigma term, σ{sub sN}. In contrast to earlier studies, our results show that, depending on the value of σ{sub sN}, the ϕ meson could receive both a positive or negative mass shift at nuclear matter density. We find that these results depend only weakly on potential modifications of the width of the ϕ meson peak and on assumptions made on the behavior of four-quark condensates at finite density.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method

Making use of the operator product expansion, we derive a general class of sum rules for the imaginary part of the single-particle self-energy of the unitary Fermi gas. The sum rules are analyzed numerically with the help of the maximum entropy method, which allows us to extract the single-particle spectral density as a function of both energy and momentum. These spectral densities contain basic information on the properties of the unitary Fermi gas, such as the dispersion relation and the superfluid pairing gap, for which we obtain reasonable agreement with the available results based on quantum Monte-Carlo simulations.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

A Bayesian analysis of QCD sum rules

A new technique has recently been developed, in which the Maximum Entropy Method is used to analyze QCD sum rules. This approach has the virtue of being able to directly generate the spectral function of a given operator, without the need of making an assumption about its specific functional form. To investigate whether useful results can be extracted within this method, we have first studied the vector meson channel, where QCD sum rules are traditionally known to provide a valid description of the spectral function. Our results show a significant peak in the region of the experimentally observed {rho}-meson mass, which is in agreement with earlier QCD sum rules studies and suggests that the Maximum Entropy Method is a strong tool for analyzing QCD sum rules.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Two novel methods in QCD sum rules

Two novel methods in extracting the spectral information of hadrons in the QCD sum rule technique. The first one is to combine two sum rules so that the pole dominance is achieved and the resonance information is effectively obtained. This method is applied to the pentaquark {Theta}{sup +} and its quantum numbers are predicted. The second method is to use the Bayesian inference theory to obtain the most probable form of the spectral function from the sum rule. We have checked the method to work in the case of the rho meson sum rule.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗