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George Rupp

Publications and source records attributed to George Rupp.

At least 91 records · Page 5Linked to original sources

Scalar and axial-vector mesons

Nowadays, there exists an abundance of theoretical approaches towards the mesonic spectrum, ranging from confinement models of all kinds, i.e., glueballs, and quark-antiquark, multiquark and hybrid configurations, to models in which only mesonic degrees of freedom are taken into account. Nature seems to come out somewhere in the middle, neither preferring pure bound states, nor effective meson-meson physics with only coupling constants and possibly form factors. As a matter of fact, apart from a few exceptions, like pions and kaons, Nature does not allow us to study mesonic bound states of any kind, which is equivalent to saying that such states do not really exist. Hence, instead of extrapolating from pions and kaons to the remainder of the meson family, it is more democratic to consider pions and kaons mesonic resonances that happen to come out below the lowest threshold for strong decay. Nevertheless, confinement is an important ingredient for understanding the many regularities observed in mesonic spectra. Therefore, excluding quark degrees of freedom is also not the most obvious way of describing mesons in general, and scalars and axial-vectors in particular.

hep-ph↗

Pion-pion scattering near threshold in the Resonance-Spectrum Expansion

We study the properties of the Resonance-Spectrum Expansion near threshold in I=0 S-wave pion-pion scattering. The real part of the amplitude, when extrapolated from above threshold to below threshold, is found to vanish at a positive non-zero value of the total invariant mass of the system, in agreement with predictions from perturbative chiral models. In our exact analytic expression, the total amplitude vanishes identically at zero invariant mass.

hep-ph↗

Pion and Kaon Masses and Pion Form Factors from Dynamical Chiral-Symmetry Breaking with Light Constituent Quarks

Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the quark-level linear sigma model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses, which reproduce the experimental pion and kaon masses very accurately, by simple additivity. In contrast, the usual nonstrange and strange current quarks employed by the Particle Data Group and Chiral Perturbation Theory do not allow a straightforward quantitative explanation of the pion and kaon masses.

hep-ph↗

Multichannel calculation of the very narrow $D_{s0}^*(2317)$ and the very broad $D_0^*(2300-2400)$

The narrow $D_{s0}^{\ast}$(2317) and broad $D_0^{\ast}$(2300-2400) charmed scalar mesons and their radial excitations are described in a coupled-channel quark model that also reproduces the properties of the light scalar nonet. All two-meson channels containing ground-state pseudoscalars and vectors are included. The parameters are chosen fixed at published values, except for the overall coupling constant $λ$, which is fine-tuned to reproduce the $D_{s0}^{\ast}$(2317) mass, and a damping constant $α$ for subthreshold contributions. Variations of $λ$ and $D_0^{\ast}$(2300-2400) pole postions are studied for different $α$ values. Calculated cross sections for $S$-wave $DK$ and $Dπ$ scattering, as well as resonance pole positions, are given for the value of $α$ that fits the light scalars. The thus predicted radially excited state ${D_{s0}^*}'$(2850), with a width of about 50 MeV, seems to have been observed already.

hep-ph↗

D_{sJ}(2860) as the first radial excitation of the D_{s0}^*(2317)

A coupled-channel model previously employed to describe the narrow $D_{s0}^*$(2317) and broad $D_0^*$(2400) charmed scalar mesons is generalized so as to include all ground-state pseudoscalar-pseudoscalar and vector-vector two-meson channels. All parameters are chosen fixed at published values, except for the overall coupling constant, which is fine-tuned to reproduce the $D_{s0}^*$(2317) mass. Thus, the radial excitations $D_{s0}^*$(2850) and $D_0^*$(2740) are predicted, both with a width of about 50 MeV. The former state appears to correspond to the new $D_{sJ}$(2860) resonance decaying to $DK$ announced by BABAR in the course of this work. Also the $D_0^*$(2400) resonance is roughly reproduced, though perhaps with a somewhat too low central resonance peak.

hep-ph↗

Small Strange Quark Content of Protons

The contribution of strange sea quarks to the proton mass and spin, as well as the related pion-nucleon sigma term, are briefly revisited, in the light of new experimental and lattice results. Also the predictions of chiral perturbation theory for these quantities are discussed.

hep-ph↗

Is the Y(4260) just a coupled-channel signal?

The Ds-Ds*, D*-D*, and Ds*-Ds*, P-wave channels in the energy region of the Y(4260) charmonium structure are studied in a coupled-channel model applied to JPC=1-- c-cbar resonances. The three channels exhibit enhancements that peak at 4.27 GeV, 4.26 GeV, and 4.33 GeV, respectively, having widths ranging from 80 to 200 MeV. However, no S-matrix poles are found, other than those associated with the psi(2D,4160) and psi(4S,4415). The conclusion is that the observed Y(4260) signal(s) in pi-pi J/psi is (are) probably associated with the opening of the aforementioned channels, resulting in a resonance-like structure caused by the tail of the psi(3S,4040) resonance, roughly midway between the mentioned P-wave thresholds and a sharp kinematical minimum at about 4.4 GeV present in both the experimental and the model scattering amplitude.

hep-ph↗

Pion Chiral Symmetry Breaking in the Quark-Level Linear Sigma Model and Chiral Perturbation Theory

Chiral symmetry breaking (ChSB) is reviewed to some extent within the quark-level-linear-sigma-model (QLL$σ$M) theory and standard chiral perturbation theory (ChPT). It is shown, on the basis of several examples related to the pion, as a well-known Goldstone boson of chiral symmetry breaking, that even the non-unitarized QLL$σ$M approach accounts, to a good approximation, for a rather simple, self-consistent, linear, and very predictive description of Nature. On the other hand, ChPT -- even when unitarized -- provides a highly distorted, nonlinear, hardly predictive picture of Nature, which fits experiment only at the price of a lot of parameters, and requires a great deal of unnecessary theoretical effort. As the origin of this distortion, we identify the fact that ChPT, reflecting only direct ChSB by nonvanishing, current-quark-mass values, does not -- contrary to Quantum Chromodynamics (QCD) and the QLL$σ$M -- contain any mechanism for the spontaneous generation of the dynamical component of the constituent quark mass. This leads to a very peculiar picture of Nature, since the strange current quark mass has to compensate for the absence of nonstrange dynamical quark masses. We thus conclude that standard ChPT -- contrary to common wisdom -- is unlikely to be the low-energy limit of QCD. On the contrary, a chiral perturbation theory derived from the QLL$σ$M, presumably being the true low-energy limit of QCD, is expected instead to provide a distortion-free description of Nature, which is based on the heavy standard-model Higgs boson as well as light scalar mesons, as the source of spontaneous generation of current and dynamical quark masses, respectively.

hep-ph↗

Images in Christmas Balls

We describe light-reflection properties of spherically curved mirrors, like balls in the Christmas tree. In particular, we study the position of the image which is formed somewhere beyond the surface of a spherical mirror, when an eye observes the image of a pointlike light source. The considered problem, originally posed by Abu Ali Hasan Ibn al-Haitham -- alias Alhazen -- more than a millennium ago, turned out to have the now well known analytic solution of a biquadratic equation, being still of great relevance, e.g. for the aberration-free construction of telescopes. We do not attempt to perform an exhaustive survey of the rich historical and engineering literature on the subject, but develop a simple pedagogical approach to the issue, which we believe to be of continuing interest in view of its maltreating in many high-school textbooks.

physics.ed-ph↗

Complex Meson Spectroscopy

We do meson spectroscopy by studying the behavior of S-matrix poles in the complex-energy plane, as a function of the coupling strength for triplet-P-zero quark-pair creation. Thereto, a general formula for non-exotic hadron-hadron scattering involving arbitrary quark confinement is used, which can be applied to all flavors. We find two distinct types of poles, which we call "confinement" and "continuum" poles, respectively. Together, they suffice to understand the experimental meson spectrum.

hep-ph↗

From the Kappa via the Ds0*(2317) to the chi_c0: connecting light and heavy scalar mesons

Pole trajectories connecting light and heavy scalar mesons, both broad resonances and quasi-bound states, are computed employing a simple coupled-channel model. Instead of varying the coupling constant as in previous work, quark and meson masses are continuously changed, so as to have one scalar meson evolve smoothly into another with different flavor(s). In particular, it is shown, among several other cases, how the still controversial K0*(800) turns into the established chi_c0, via the disputed D_s(2317). Moreover, a chi'_c0(3946) is predicted, which may correspond to the recently observed Y(3943) resonance. These results lend further support to our unified dynamical picture of all scalar mesons, as unitarized q-qbar states with important two-meson components.

hep-ph↗

Scalar mesons and Adler zeros

A simple unitarized quark-meson model, recently applied with success to light and charmed scalar mesons, is shown to encompass Adler-type zeros in the amplitude, due to the use of relativistic kinematics in the scattering sector. These zeros turn out to be crucial for the description of the $K_0^*$(800) resonance, as well as the new charmed scalar mesons $D_{s0}^*$(2317) and $D_0^*$(2300). ~

hep-ph↗

CP Violation and $ΔI=1/2$ Enhancement for $K \to ππ$, $K \to ππγ$ Weak Decays

Data indicate that $ΔI=1/2$ transitions account for 4.5-4.7% of both CP conserving and CP violating $K \to 2π$ decays, as well as CP conserving radiative $K \to ππγ$ processes. Observed $K \to ππγ/ππ$ branching ratios are shown to scale near $α/π$ or $α/2π$. The $K_L$-$K_S$ mixing angle $ϕ$ and the semileptonic weak-rate asymmetry $δ$ are reviewed, and theory is shown to be consistent with data. Also, $K \to 2π$ $ΔI=1/2$ dominance is studied in the context of the chiral constituent quark model, displaying again excellent agreement with data. Finally, indirect and direct kaon CP violation are successfully described in the framework of photon-mediated loop graphs. This suggests that kaon CPV can be understood via second-order weak transitions, radiatively corrected.

hep-ph↗

Multichannel calculation for Ds* vector states and the Ds(2632) resonance

We study bound states below threshold and resonances above threshold in the D0-K+ and Ds-eta systems, using a many-coupled-channel model for non-exotic meson-meson scattering applied to states with the quantum numbers of c-sbar quark-antiquark vector mesons. We fit the ground state at 2.112 GeV, whence the lowest resonances in D0-K+ come out at 2.61, 2.72, 3.03, and 3.08 GeV. The resonance at 2.61 GeV acquires a width of about 8 MeV, while its partial P-wave cross section is up to six times larger in Ds-eta than in D0-K+, provided a mechanism accounting for Okubo-Zweig-Iizuka--forbidden decays is included. The latter finding is in agreement with the observations of the SELEX collaboration with respect to the recently reported DsJ(2632) resonance. Therefore, we conclude that the DsJ(2632) is most probably the first recurrence excitation of the Ds*(2112) meson.

hep-ph↗

Classification of the scalar mesons: a strange pole expedition into charm and beauty territory

The classification of scalar and vector mesons is reviewed within the framework of the Resonance-Spectrum Expansion (RSE). This method allows a simple and straightforward description of non-exotic meson-meson scattering, incorporating the effects of quark confinement and OZI-allowed decay in a fully nonperturbative way. Results for resonances and bound states are compared to experiment, on the basis of computed pole positions and cross sections. New predictions for open-charm and -bottom scalar mesons are presented. Concretely, observed vector states for u-ubar/d-dbar, s-sbar, c-cbar, and b-bbar are reproduced, and others are predicted. In the light scalar sector, the now established two nonets, one below 1 GeV and one in the region 1.3 - 1.5 GeV, are easily described, through the appearance of extra poles in the scattering matrix. The recently found Ds0*(2317) meson is accurately reproduced by the same mechanism, as a quasi-bound state in the coupled c-sbar/DK system. In S-wave D-pion and B-pion scattering, new resonances are foreseen close to threshold, i.e., a D0* at 2.16(+-0.05) GeV some 250 MeV wide, and a B0* at 5.47(+-0.05) GeV with a width of about 50 MeV. Additional predictions concern the existence of b-sbar and b-cbar scalar mesons, stable with respect to OZI-allowed decay to BK and BD, respectively, namely at 5.61(+-0.05) GeV resp. 6.64(+-0.05) GeV.

hep-ph↗

Nonperturbative scalar-meson resonances with open charm and beauty

We predict several new bound states and resonances for B-pion, B-Kaon, and B-D S-wave elastic scattering, within the same model which was recently employed to explain the D*sJ(2317)+ meson. In the charm-nonstrange sector we find a (virtual ?) bound state close to the B-pion threshold, and moreover two nearby resonances of comparable width in the range 5.9 to 6.1 GeV. We obtain bound states B*s0(5570) in b-sbar and B*c0(6490) in bbar-c, as well as resonances at higher energies. No JP=0+ states are found at 5.6 GeV (in bbar-u/d), at 5.7 GeV (in b-sbar), or at 6.1 GeV (in bbar-c), where they are predicted from pure confinement.

hep-ph↗

Ground-State Scalar $\bar{q}q$ Nonet: SU(3) Mass Splittings and Strong, Electromagnetic, and Weak Decay Rates

By comparing SU(3)-breaking scales of linear mass formulae, it is shown that the lowest vector and scalar mesons all have a $\bar{q}q$ configuration, while the ground-state octet and decuplet baryons are $qqq$. Also, the quark-level linear $σ$ model is employed to predict similar $\bar{q}q$ and $qqq$ states. Furthermore, the approximate mass degeneracy of the scalar $a_0$(985) and $f_0$(980) mesons is demonstrated to be accidental. Finally, it is shown that various strong, electromagnetic, and weak mesonic decay rates are successfully explained within the framework of the quark-level linear $σ$ model.

hep-ph↗

W-boson unitarity effects and oscillations in the neutral Kaon system

We study the effects on oscillations in the neutral-Kaon system from lepton and hadron self-energy loops in the W-boson propagators. The corresponding W box diagrams are evaluated by attaching the external quark lines to covariant vertex functions for the composite Kaons, integrating over all off-shell momenta. We find that the ratio of the imaginary and real parts of the amplitude is of the same size as with the experimental value of the modulus of the CP-violating parameter epsilon.

hep-ph↗