We investigate the strength of angular correlations between coincident electron-positron pairs produced in Pb + Pb collisions at 5.7 MeV/u. The angular correlations are predicted to be observable at electron energies above 200 keV, almost independent of positron energy. 25.70; 34.50.F The EPOS collaboration at GSI has recently reported narrow structures in the difference and sum spectra of e + -e--coincidences in heavy-ion collisions [-1-3]. This gives new insight into the nature of peaks in the positron singles spectra observed earlier [4,5]. Various mechanisms have been invoked as explanation of these structures, among them the possible creation of a new, elementary light boson decaying into an e + -e --p a i r [6 9], and the presence of sudden rearrangements in the quasimolecular energy levels [10][11][12][13][14][15].
PACS:In order to determine the source of these structures a thorough understanding of the atomic excitation processes acting at small internuclear distance and producing the structureless spectra [-3, 5, 16] is required. In particular, the knowledge of possible angular correlations between coincident electron-positron pairs, which are expected due to interference between partial waves with different parity and angular momentum [17,18], is of interest.In this letter we present first numerical results based on the formalism developed in Ref. 19 for the system Pb + Pb at 5.7 MeV/u. We investigate angular correlations between electrons emitted with energy E e into the direction ke/[ ke [ and coincident positrons of energy Ep emitted into the direction kv/] kv]. The * We dedicate this work to Prof. J.S. Greenberg (Yale University) on the occassion of his 60th birthday solutions for electronic continuum states 7~,~,, obtained in a basis of spherical waves must be transformed to a basis set of plane wave states 7~k, a, where k describes the momentum and 2 the helicity of the particle. Expanding the second quantized electronpositron field operator ~ in both basis sets, one derives a canonical transformation between the number operators for electrons and positrons in both basis sets. Denoting by d/+ and /~i the creation operators for holes and annihilation operators for particles respectively, and using the label i as abbreviation for the quantum numbers (ki, 2i), the number of pairs consisting of the plane wave states i and j is given by [19]: