The gluon distributions in the smallx region beyond the leading order

The gluon distributions in a proton are calculated in the region of smallx (10^?4?x?10^?2) and largeQ ² taking into account the corrections which correspond to the sum of the leading powers of log 1/x beyond the leading logQ ² approximation. It is shown that they become significant for very small values ofx only provided however that the non-leading terms in the limit of smallx are also consistently included. The leading log 1/x approximation gives the gluon distributions which can differ by a factor of 2 from their leading logQ ² counterpart.     

Estimate of the screening corrections to gluon distributions in the smallx region

The screening corrections to gluon distributions in a proton corresponding to the triple gluonic ladder diagram are estimated. They are found to be relatively small: their values does not exceed 10% of the leading order QCD gluon distribution forx?10^?4 andQ ² ?100 GeV².     

Measurement of the gluon fragmentation function and a comparison of the scaling violation in gluon and quark jets

The fragmentation functions of quarks and gluons are measured in various three-jet topologies in Z decays from the full data set collected with the Delphi detector at the Z resonance between 1992 and 1995. The results at different values of transverse momentum-like scales are compared. A parameterization of the quark and gluon fragmentation functions at a fixed reference scale is given. The quark and gluon fragmentation functions show the predicted pattern of scaling violations. The scaling violation for quark jets as a function of a transverse momentum-like scale is in a good agreement with that observed in lower energy annihilation experiments. For gluon jets it appears to be significantly stronger. The scale dependences of the gluon and quark fragmentation functions agree with the prediction of the DGLAP evolution equations from which the colour factor ratio is measured to be: Received: 5 November 1999 / Published online: 25 February 2000     

A new numerical method for inverse Laplace transforms used to obtain gluon distributions from the proton structure function

We recently derived a very accurate and fast new algorithm for numerically inverting the Laplace transforms needed to obtain gluon distributions from the proton structure function F₂^gp(x,Q²)F_{2}^{\gamma p}(x,Q^{2}). We numerically inverted the function g(s), s being the variable in Laplace space, to G(v), where v is the variable in ordinary space. We have since discovered that the algorithm does not work if g(s)→0 less rapidly than 1/s as s→∞, e.g., as 1/s ^β for 0<β<1. In this note, we derive a new numerical algorithm for such cases, which holds for all positive and non-integer negative values of β. The new algorithm is exact if the original function G(v) is given by the product of a power v ^β−1 and a polynomial in v. We test the algorithm numerically for very small positive β, β=10⁻⁶ obtaining numerical results that imitate the Dirac delta function δ(v). We also devolve the published MSTW2008LO gluon distribution at virtuality Q ²=5 GeV² down to the lower virtuality Q ²=1.69 GeV². For devolution, β is negative, giving rise to inverse Laplace transforms that are distributions and not proper functions. This requires us to introduce the concept of Hadamard Finite Part integrals, which we discuss in detail.     

Correlation with large transverse momentum photons and the gluon structure function

The inclusive two-particle cross section for the production of largep _T photons and opposite side charged hadrons in proton-proton collisions is examined in detail in the framework of QCD. The model, with the parametrization as in our previous work, agrees with the measured single photon spectra. Quantitative predictions are made for two-particle distributions to be measured at the ISR. The contributions due to the photon bremsstrahlung and the effects coming from the intrinsic constituent motion are estimated. It is shown that indeed the direct subprocess gluon+quark→photon+quark gives the dominant contribution in the experimentally relevant region of phase space, and that direct information about the gluon structure function can be obtained from such measurements.     

Asymmetries in Largep T photoproduction and the polarized gluon structure function

QCD predictions for asymmetries in largep _T polarized photon reactions on a polarized target are given. Taking cross-section differences is shown to yield new tests of QCD. Double inclusive cross section measurements provide a direct way to measure the distribution function of polarized gluons in the proton.     

Magnetic moments and the proton structure function

The EMC collaboration have reported a measurement of the proton structure function which has been interpreted to mean that the spin of the proton is not predominantly that of the quarks (=u+d+s=0.13±0.19). We show that the magnetic moments of the baryons are independent of this measurement and are given (within 10–20%) for a range of including the valence model value =1. The magnetic moments of the quarks can only be fixed if the quantity is determined very accurately.     

Measurement of the proton structure function F2 in QED Compton scattering at HERA

The European Physical Journal C - QED Compton scattering at HERA is proposed for a measurement of the proton structure function F2 at low momentum transfers Q2. It is shown that the analysis of...     

Measurement of the proton structure function F 2 at low x and low Q 2 at HERA

We report on a measurement of the proton structure function F ₂ in the range 3.5 × 10^?5 ≤ x ≤ 4 × 10^?3 and 1.5 GeV² ≤ Q ² ≤ 15 GeV² at the ep collider HERA operating at a centre-of-mass energy of ${sqrt s} = 300 {? GeV}$. The rise of F ₂ with decreasing x observed in the previous HERA measurements persists in this lower x and Q ² range. The Q ² evolution of F ₂, even at the lowest Q ² and x measured, is consistent with perturbative QCD.     

Measurement of the gluon polarisation with COMPASS

The COMPASS experiment at CERN is investigating the nucleon spin structure in polarised deep inelastic muon scattering, mainly the gluon polarisation .     

高能质子照相中面密度的测量和不确定性分析

依据洛斯·阿拉莫斯国家实验室的质子照相概念,通过研究高能质子与物质的相互作用规律,给出了质子照相确定面密度的计算公式及其不确定性分析,阐述了质子照相鉴别材料组分的原理。相对于X光照相,质子通过面密度较大的物体后的通量明显增加,界面探测和密度重建更加准确。研究了多库仑散射和磁透镜系统的色散对质子照相空间分辨率的影响及解决途径。结果表明,高能质子照相在穿透能力、面密度测量、材料的组分识别、空间分辨率等方面都优于X光照相。     

高能质子照相中面密度的测量和不确定性分析

 依据洛斯·阿拉莫斯国家实验室的质子照相概念,通过研究高能质子与物质的相互作用规律,给出了质子照相确定面密度的计算公式及其不确定性分析,阐述了质子照相鉴别材料组分的原理。相对于X光照相,质子通过面密度较大的物体后的通量明显增加,界面探测和密度重建更加准确。研究了多库仑散射和磁透镜系统的色散对质子照相空间分辨率的影响及解决途径。结果表明,高能质子照相在穿透能力、面密度测量、材料的组分识别、空间分辨率等方面都优于X光照相。     

Regge behaviour of structure function and gluon distribution at low-x in leading order

We present a method to find the gluon distribution from the proton structure function data at low-x assuming the Regge behaviour of the gluon distribution function at this limit. We use the leading order (LO) Altarelli–Parisi (AP) evolution equation in our analysis and compare our result with those of other authors. We also discuss the limitations of the Taylor expansion method in extracting the gluon distribution from the structure function used by those authors. Received: 2 January 2000 / Revised version: 23 February 2000 / Published online: 6 July 2000     

Observation of longitudinal event structure in proton diffractive dissociation at the ISR

We study the internal structure of a forward-going pπ⁺ π⁻ π⁺ π⁻ system, with invariant mass in the range 2.5-4 GeV, produced through diffractive dissociation of a beam proton at the ISR. The shape of the system, as seen in its center-of-mass, deviates strongly from isotropic phase space and possesses, rather, a longitudinal structure with a major axis along the incoming proton direction. The final state proton momentum is aligned in the direction of the incoming proton, an effect which becomes more pronounced with increasing diffractive mass.