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H. J. Pirner

Publications and source records attributed to H. J. Pirner.

64 records · Page 4Linked to original sources

Nonperturbative γ^* p Interaction in the Diffractive Regime

One of the challenging aspects of electroproduction at high-energy is the understanding of the transition from real photons to virtual photons in the GeV^2 region. We study inclusive electroproduction on the proton at small x_B using a nonperturbative dipole-proton cross section calculated from the gauge invariant gluon field correlators as input. By quark-hadron duality, we construct a photon light cone wave function which links the ``hadronic'' behavior at small Q^2 to the ``perturbative'' behavior at large Q^2. It contains quark masses which implement the transition from constituent quarks at low Q^2 to current quarks at high Q^2. Our calculation gives a good description of the structure function at fixed energy for Q^2<=10 GeV^2. Indications for a chiral transition may already have been seen in the photon-proton cross section.

hep-ph↗

QCD near the Light Cone

Starting from the QCD Lagrangian, we present the QCD Hamiltonian for near light cone coordinates. We study the dynamics of the gluonic zero modes of this Hamiltonian. The strong coupling solutions serve as a basis for the complete problem. We discuss the importance of zero modes for the confinement mechanism.

hep-th↗

Thermodynamics of Constituent Quarks

We investigate the thermal behavior of quarks and antiquarks interacting via a temperature-dependent linear potential. The quarks are constituent quarks with dynamically generated masses from the background linear $σ$-model.We find a transition from a system of bound mesons to a correlated quark gas at the same temperature as the chiral transition temperature.

hep-ph↗

P-Wave Polarization of the $ρ$-Meson and the Dilepton Spectrum in Dense Matter

We study the $p$-wave polarization operator of the $ρ$-meson due to $ρN$ interactions via the $N^*$ (1720) and $Δ(1905)$ resonances and compute the corresponding production rate for $e^+e^-$-pairs at finite temperature and baryon density. At high baryon density we find a significant shift of the spectrum to lower invariant masses.

nucl-th↗

Vector meson leptoproduction and nonperturbative gluon fluctuations in QCD

We present a nonperturbative QCD calculation of diffractive vector meson production in virtual photon nucleon scattering at high energy. We use the nonperturbative model of the stochastic QCD vacuum which yields linear confinement and makes specific predictions for the dependence of high-energy scattering cross sections on the hadron size. Using light cone wave functions of the photon and vector mesons, we calculate electroproduction cross sections for $ρ$, $ω$, $ϕ$ and $J/ψ$. We emphasize the behavior of specific observables such as the ratio of longitudinal to transverse production cross section and the t-dependence of the differential cross section.

hep-ph↗

The Ratio of Gluon Distributions in Sn and C

We calculate the ratio of gluon densities, G^Sn(x)/G^C(x), for 0.01<x<0.1, from the new high statistics data on F_2^Sn/F_2^C taken by the NM Collaboration. For small x, the shadowing in the gluon distribution is about equal to the shadowing of quark distribution. The antishadowing in the gluon distribution, however, is roughly 10%. We also compare with the ratio difference, R=sigma_L/sigma_T, from Sn and C.

hep-ph↗

How to Determine the Pion Cloud of the Constituent Quark

We calculate the differential cross section for semi-inclusive pion production in electron proton reactions using a model where the physical quark fluctuates with some probability to quark plus pion. The kinematic regions for a determination of this `pion cloud' are evaluated.

hep-ph↗

Massive Schwinger Model for Small Fermion Mass

We examine QED$_{1+1}$ (the massive Schwinger model) to extend existing perturbation results in $m_f/m_b$, and compare our results with lattice and DLCQ calculations. (Based on a talk presented by J.P. Vary at ``Theory of Hadrons and Light-Front QCD'', Polona Zgorzelisko, Poland, August 1994.)

hep-ph↗

QCD Phase Transition in Hot Hadronic Matter

We analyse the QCD chiral phase transition in the nonlinear and linear $σ$-model. The strategy is the same in both cases. We fix the parameters of the effective meson theory at temperature $T=0$ and extrapolate the models to temperatures in the vicinity of the phase transition. The linear $σ$-model in $SU(3)\times SU(3)$ gives a crossover around $T_c\approx190$ MeV. Around this temperature chiral $SU(2)\times SU(2)$ is almost restored. We also calculate meson masses as a function of temperature.

hep-ph↗

Finite size vertex corrections to the three-gluon decay widths of $J/ψ$ and $Υ$ and a redetermination of $α_s(μ)$ at $μ=m_c$ and $m_b$

We calculate the corrections to the three-gluon decay widths $Γ_{3g}$ of $c\bar c$ and $b \bar b$ quarkonia due to the finite extension of the $Q\bar Q\to 3g$ vertex function. The widths computed with zero range vertex are reduced by a factor $γ$ where $γ=0.31$ for the $J/ψ$ and $γ=0.69$ for the $Υ$. These large corrections necessitate a redetermination of the values $α_s(μ)$ extracted from $Γ_{3g}$. We find $α_s(m_c)=0.28\pm.01$ and $α_s(m_b)=0.20\pm.01$.

hep-ph↗