M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2
DOI : 10.1119/1.1972842

E. Alt and A. Mukhamedzhanov, Asymptotic solution of the Schr??dinger equation for three charged particles, Physical Review A, vol.283, issue.3, pp.2004-2026, 1993.
DOI : 10.1098/rspa.1965.0020

J. Berakdar, J. Briggs, and J. Et, Interference effects in (e,2e)-differential cross sections in doubly symmetric geometry, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.27, issue.18, pp.4271-3799, 1994.
DOI : 10.1088/0953-4075/27/18/022

H. A. Bethe and E. Salpeter, Quantum Mechanics of One- and Two-Electron Systems, Springerve rlag, 1957.
DOI : 10.1007/978-3-642-45869-9_2

R. A. Bonham and D. Kohl, Simple Correlated Wavefunctions for the Ground State of Heliumlike Atoms, The Journal of Chemical Physics, vol.45, issue.7, pp.2471-2474, 1966.
DOI : 10.1007/BF01375457

B. Bransden, Atomic collision theory, Nature, vol.269, issue.5630
DOI : 10.1038/269732a0

B. H. Bransden, N. C. , J. Hewitt, R. , and I. Phys, On the reduction of momentum space scattering equations to Fredholm form, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.26, issue.16, pp.2487-99
DOI : 10.1088/0953-4075/26/16/007

M. Brauner, J. Briggs, H. Klar, and J. , Triply-differential cross sections for ionisation of hydrogen atoms by electrons and positrons, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.22, issue.14, pp.2265-87, 1989.
DOI : 10.1088/0953-4075/22/14/010

I. Bray, D. V. Fursa, and . Phys, Calculation of singly differential cross sections of electron-impact ionization of helium at 100 eV, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.28, issue.13, pp.435-476, 1995.
DOI : 10.1088/0953-4075/28/13/005

D. Cappello, C. , L. Rouzo, and H. , Angular distributions in the double ionization of helium by electron impact, Physical Review A, vol.22, issue.3, pp.1395-404, 1991.
DOI : 10.1088/0953-4075/22/14/010

C. Dal-cappello, J. Langlois, D. Cappello, M. C. Joulakian, B. Lahmam-bennani et al., Angular distributions in the double ionization of noble gases by electron impact, Zeitschrift f???r Physik D Atoms, Molecules and Clusters, vol.71, issue.3, pp.389-96, 1992.
DOI : 10.1007/BF01429263

P. Dal-cappello-c, . Yu-v, G. Stefani, N. M. Kuzmina, H. Hda et al., Notes on (e, 2e) experiments with excited atoms in the initial state, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.27, issue.8, pp.1549-60, 1994.
DOI : 10.1088/0953-4075/27/8/015

A. Duguet, Thèse d'Université

C. Dupré, F. Lahmam-bennani-ar-duguet-d-mota-furtado, O. Mahony, P. F. , D. Cappello et al., (e,2e) triple differential cross sections for the simultaneous ionization and excitation of helium, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.25, issue.1, pp.259-76, 1992.
DOI : 10.1088/0953-4075/25/1/028

H. Ehrhardt, M. Fischer, K. Jung, F. Byron, . Jr et al., Triply Differential Cross Sections for the Ionization of Helium by Fast Electrons, Physical Review Letters, vol.146, issue.26, pp.1807-1817, 1982.
DOI : 10.1103/PhysRev.146.1

H. Ehrhardt, M. Fischer, K. Jung, and Z. Phys, A : Atoms and Nuclei, pp.119-143, 1982.

H. Ehrhardt, K. H. Hesselbacher, K. Jung, E. Schubert, K. Willmann et al., Electron impact ionization of argon: measurements of triple differential cross sections, Journal of Physics B: Atomic and Molecular Physics, vol.7, issue.1, pp.69-78, 1974.
DOI : 10.1088/0022-3700/7/1/016

H. Ehrhardt, K. Jung, E. Schubert, &. Kleinpoppen, and . Williams, Low-Energt Electron Impact lonization With Completely Determined Kinematics", Coherence and Correlation in Atomic Collisions, pp.159-208, 1980.

H. Ehrhardt, M. Schulz, T. Tekaat, and K. Willmann, Ionization of Helium: Angular Correlation of the Scattered and Ejected Electrons, Physical Review Letters, vol.175, issue.3, pp.89-92, 1969.
DOI : 10.1103/PhysRev.175.151

H. Friedrich, Iheoretical Atomic Physics, 1991.

G. Garibotti and I. Miraglia, -hydrogen-atom collision, Physical Review A, vol.93, issue.2, pp.572-80, 1980.
DOI : 10.1103/PhysRev.93.785

F. Gélébart, R. J. Tweed, and I. Phys, Absolute cross sections for 100 eV electron impact ionization of helium in a symmetric energy-sharing geometry, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.23, issue.20, pp.641-648, 1990.
DOI : 10.1088/0953-4075/23/20/005

S. Geltman, M. Hidalgo, and I. Phys, The Coulomb-projected Born approximation. IV. Ionization of hydrogen, Journal of Physics B: Atomic and Molecular Physics, vol.7, issue.7, pp.831-840, 1974.
DOI : 10.1088/0022-3700/7/7/019

R. Glauber, Lectures in Theoretical Physics, Ne* York : Interscience, 1e5e), pp.314-414

I. S. Gradshteyn and I. Ryzhik, Table of httegrals, Series ond Producls, 1980.

S. Gupta and S. , correlations, Physical Review A, vol.32, issue.3, pp.2083-2090, 1995.
DOI : 10.1063/1.1730930

URL : https://hal.archives-ouvertes.fr/in2p3-00023473

H. Hda, D. Cappello, C. Langlois, I. , and Z. , Angular distributions of electrons in the (e, 3e) reaction, Zeitschrift f???r Physik D Atoms, Molecules and Clusters, vol.23, issue.5, p.25, 1994.
DOI : 10.1007/BF01437160

M. Inokuti, Y. Itikawa, and I. Turner, Addenda: Inelastic collisions of fast charged particles with atoms and molecules???The Bethe theory revisited, Reviews of Modern Physics, vol.63, issue.1, pp.23-35, 1978.
DOI : 10.1063/1.431229

X. Jia, Q. Shi, C. J. Chenz, and K. Xu, s, Physical Review A, vol.29, issue.3, pp.1971-1976, 1997.
DOI : 10.1007/BF01437160

URL : https://hal.archives-ouvertes.fr/in2p3-01447887

C. J. Joachain, Ouantum Collision Theory, 1975.

S. Jones, D. Madison, and D. Konovalov, Three-body models of electron-hydrogen ionization, Physical Review A, vol.63, issue.1, pp.444-453, 1997.
DOI : 10.1103/PhysRevLett.63.252

B. Ioulakian, D. Cappello, and C. , Theoretical study of the optimal conditions for the measurement of the differential cross section of the double ionization of helium by fast electrons, Physical Review A, vol.23, issue.5, pp.3788-95, 1993.
DOI : 10.1007/BF01429263

B. Joulakian, D. Cappello, C. Brauner, M. , and J. , Double ionization of helium by fast electrons: use of correlated two electron wavefunctions, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.25, issue.12, pp.2863-71
DOI : 10.1088/0953-4075/25/12/014

Y. Kim, Angular Distributions of Secondary Electrons in the Dipole Approximation, Physical Review A, vol.3, issue.2, pp.666-70, 1972.
DOI : 10.1103/PhysRevA.3.942

A. Lahmam-bennani, H. F. Wellenstein, A. Duguet, M. Rouault, and J. , Absolute triple differential cross sections for high-energy electron impact ionisation of helium, Journal of Physics B: Atomic and Molecular Physics, vol.16, issue.12, pp.2219-2249, 1983.
DOI : 10.1088/0022-3700/16/12/017

H. F. Lahmam-bennani-d-wellenstein, D. Cappello, C. Duguet, A. , and J. , Coincidence electron impact ionisation of helium: absolute experimental cross sections and comparison with first-order theories, Journal of Physics B: Atomic and Molecular Physics, vol.17, issue.15, pp.3159-72
DOI : 10.1088/0022-3700/17/15/027

A. Lahmam-bennani, Dupré c and Duguet A, ptrys, Rev. Lett, vol.6, pp.5-6

H. Lahmam-bennani-d-ehrhardt, C. Dupré, and A. Duguet, Identification of mechanisms of electron impact double ionizing collisions by e,(3-1)e experiments, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.24, issue.16, pp.3645-53, 1991.
DOI : 10.1088/0953-4075/24/16/016

D. H. Madison, S. Jones, A. Franz, and P. Altick, e,2e) & related processes, pp.17-84, 1993.

I. Mccarthy and E. Weigold, (e, 2e) spectroscopy, Physics Reports, vol.27, issue.6, pp.275-371, 1976.
DOI : 10.1016/0370-1573(76)90005-3

N. F. Mott and H. Massey, The Theory of Atomic Collisions, 1965.

A. J. Murray and F. Read, ) ionization process, Physical Review Letters, vol.22, issue.20, pp.2912-2916
DOI : 10.1088/0953-4075/22/23/015

P. Nagy, A. Skutlatz, Y. Schmidt, and J. , Absolute ionisation cross sections for electron impact in rare gases, Journal of Physics B: Atomic and Molecular Physics, vol.13, issue.6, p.1249
DOI : 10.1088/0022-3700/13/6/028

M. Nicolas, R. J. Tweed, and R. , Semiclassical approach to PCI in (e - 2e) ionization of H: coplanar geometry energy sharing, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.29, issue.4, p.791, 1996.
DOI : 10.1088/0953-4075/29/4/020

A. Pochat, R. J. Tweed, J. Peresse, C. J. Joachain, B. Piraux et al., Second-order effects in large-angle coplanar symmetric (e, 2e) processes, Journal of Physics B: Atomic and Molecular Physics, vol.16, issue.24, pp.775-784, 1983.
DOI : 10.1088/0022-3700/16/24/005

M. Pont, R. Shakeshaft, and J. , Absolute cross sections for double photoionization of helium at energies from 0 to 80 eV above threshold, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.28, issue.18, pp.571-578, 1995.
DOI : 10.1088/0953-4075/28/18/001

H. Ray and A. Roy, Triply differential cross sections for the coplanar asymmetric ionisation of H(2s) by fast electrons, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.21, issue.19, pp.3243-51, 1988.
DOI : 10.1088/0953-4075/21/19/014

J. Rôder, J. Rasch, K. Jung, C. T. Whelan, H. Ehrhardt et al., ), Physical Review A, vol.50, issue.1, pp.225-258, 1996.
DOI : 10.1103/PhysRevA.50.R2818

J. Rôder, H. Ehrhardt, I. Bray, D. Fursa, and I. Mccarthy, Absolute triple differential cross section for electron-impact ionization of helium at 50 eV, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.29, issue.2, pp.67-73, 1996.
DOI : 10.1088/0953-4075/29/2/006

M. Rudge, Theory of the Ionization of Atoms by Electron Impact, Reviews of Modern Physics, vol.119, issue.3, pp.564-90, 1968.
DOI : 10.1038/119489b0

M. Rudge, M. Seaton, and . Proc, The threshold law for ionizing collisions, Proceedings of the Physical Society, vol.83, issue.4, p.680, 1964.
DOI : 10.1088/0370-1328/83/4/121

E. Schubert, A. Schuck, K. Jung, S. Geltman, and J. , Triple differential cross sections for the electron impact ionisation of helium at 35 eV collision energy, Journal of Physics B: Atomic and Molecular Physics, vol.12, issue.6, pp.967-78, 1979.
DOI : 10.1088/0022-3700/12/6/015

M. Schulz and J. , Influence of the effective charges on the five-fold differential cross section for ionization of hydrogen and helium, Journal of Physics B: Atomic and Molecular Physics, vol.6, issue.12, pp.2580-99, 1973.
DOI : 10.1088/0022-3700/6/12/023

O. Schwarzkopf, B. Krâssig, J. Elmiger, and Y. Schmidt, Energy- and angle-resolved double photoionization in helium, Physical Review Letters, vol.19, issue.20, pp.3008-3019, 1993.
DOI : 10.1088/0022-3700/19/9/006

S. Sharma, S. , and !. Dk, Triple-differential cross sections for the fast-electron impact ionization of helium in a hybrid second-order model, Physical Review A, vol.146, issue.4, pp.1939-1970, 1987.
DOI : 10.1103/PhysRev.146.1

C. Sinha, K. Roy, N. Sil, and J. , The exact evaluation of the scattering amplitude in the Vainshtein-Presnyakov-Sobel'man approximation, Journal of Physics B: Atomic and Molecular Physics, vol.20, issue.11, pp.2545-52
DOI : 10.1088/0022-3700/20/11/021

M. Srivastava and F. H. Bhaduri, Variational method for two???electron atoms, American Journal of Physics, vol.45, issue.5, pp.462-466, 1977.
DOI : 10.1119/1.10820

C. Tavard, B. Najiari, and . Int, Importance of angular and radial electron correlations in first born (e, 2e) spectroscopies of heliumlike targets, International Journal of Quantum Chemistry, vol.22, issue.2, pp.657-65, 1996.
DOI : 10.1088/0953-4075/22/14/010

M. Tong, P. Altick, and J. , Higher order corrections to the triply differential electron impact ionization cross section of hydrogen, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.25, issue.3, pp.741-505
DOI : 10.1088/0953-4075/25/3/020

E. Weigold and S. Hood, Energy and Angular Correlations of the Scattered and Ejected Electrons in the Electron-Impact Ionization of Argon, Physical Review Letters, vol.206, issue.11, pp.475-484, 1973.
DOI : 10.1007/BF01325928

C. T. Whelan, R. J. Allan, H. Walters, Z. Whelan, C. T. Allan et al., (e,2e) & retatedprocesses, Il'helan et al, I-32, pp.39-49, 1993.

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