Electromagnetic processes in relativistic heavy ion collisions

Abstract

The relativistic Winther-Alder functions 9 .2 B-The total cross sections in the PWBA and in the semiclassical approximation. .. . 9 .3 C-Useful handy formulas 101 10 .0 Referenees vi EEectromagnetic Proeesses and they are equivalent to two pulses of plane polarized radiation incident on the target (see figure 1 .1b) : one in the beam direction (P1), and another perpendicular to it (P2). In the case of the pulse P, the equivalency is exact. Since the electric field in the z-direction is not accompanied by a corresponding magnetic field, the equivalency is not complete for the pulse P 2, but this will not where the z and Introduction Eleetromagnetic Proeesses Eiectromagnetic Proeesses The ionization of atomic electrons in RHI collisons has very large cross sections and is an extensively studied process, and we show in chapter 6 the main theoretical aspects of it. Chapter 7 is dedicated to the production of lepton pairs in RHI collisions. The consequences of the large cross sections for the production of electron-positron pairs are analysed. Of special interest for the development of relativistic heavy ion colliders is the case of electron-positron pair production with capture of the electron in an atomic orbit in the ions. Conclusions and an outlook are given in chapter B. n=-oo \\ j Then the integral over 0 in (2 .1 .8) leads to Wern (r, w) = et Zü eKm (W b!yv) 5rz sin 8 d8 e i (wiv) r cos 0 YYm (6,0) Im v sin. (2 .1 .10) 0 Writing Yein (8,0) in terms of the Gegenbauer polynomials C,(x) (see e .g. Ab-64, p. 771), and using the Gegenbauer integral (see e .g. Gr-65, p. 832, eq. 7 .333) one finds for m> 0 W,,,m(r,w)= ZVe .v 167t(2e+ 1) (t°+m)! ] 1f2 (2m-1)1r/ m (2 .L11) x (c/yv) m Km (wbI yv) j((xr) , 7 1 ey (2 .1 .4) (2 .1 .5)

Constraining gluon shadowing using photoproduction in ultraperipheralpAandAAcollisions

“…(2). Here the process cross sections and the left/right fluxes are identical, thus the respective rapidity distributions are mirror images of each other, and consequently the total distribution is symmetric about midrapidity (y = 0).…”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13]). In a recent publication we explored lead-lead peripheral collisions at energies available at the CERN Large Hadron Collider to probe gluon distributions in nuclei [14].…”

“…Thus expressions for both types of fluxes are required for pA collisions. The flux due to the nucleus (of charge Z) can be evaluated analytically and is given by [2],…”

Dipole excited states in 11Li with complex scaling

“…The cross section for Coulomb excitation of electric dipole states in the projectile nucleus is given by [51] …”

Erratum: Observing Light-by-Light Scattering at the Large Hadron Collider [Phys. Rev. Lett.111, 080405 (2013)]

“…We use the proton -spectrum obtained from its elastic form factor [34] and, for the ion -spectrum, the impact-parameter dependent expression integrated from b min to infinity [35] with the requirement b min ¼ R A;B plus a correction equivalent to the geometrical condition [36] to ensure that all collisions occur without hadronic overlap and breakup of the colliding beams. Propagated uncertainties to the final cross sections are of order AE10% (AE 20%) for p-p and p-Pb (Pb-Pb) collisions, covering different form-factor parametrizations and the convolution of the nuclear photon fluxes.…”