Abstract.
Breakup reactions are one of the main tools for the study of exotic nuclei. In particular, Coulomb breakup is expected to provide information on spectroscopic properties of halo nuclei and on astrophysical S factors for radiative-capture reactions. The simplest studies are based on perturbation theory and especially on its first order. However the validity of the first-order approximation may be limited for extended systems such as halo nuclei and its conditions are not always satisfied in existing experiments. More elaborate reaction models are available: resolution of the semi-classical time-dependent Schrödinger equation, eikonal and dynamical eikonal approximations, method of coupled discretized-continuum channels, adiabatic approximation. These methods are reviewed, summarized and illustrated. Their interest and limitations are discussed.
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References
I. Tanihata, J. Phys. G 22, 157 (1996)
K. Hencken, G.F. Bertsch, H. Esbensen, Phys. Rev. C 54, 3043 (1996)
G. Baur, C.A. Bertulani, H. Rebel, Nucl. Phys. A 458, 188 (1986)
C.J. Joachain, Quantum Collision Theory (North-Holland, Amsterdam, 1975)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970)
P.E. Hodgson, Nuclear heavy-ion reactions (Clarendon, Oxford, 1978)
Y. Suzuki, R.G. Lovas, K. Yabana, K. Varga, Structure and reactions of light exotic nuclei (Taylor and Francis, London, 2003)
K. Alder, A. Winther, Electromagnetic excitation (North-Holland, Amsterdam, 1975)
G.F. Bertsch, C.A. Bertulani, Nucl. Phys. A 556, 136 (1993)
C.A. Bertulani, G.F. Bertsch, Phys. Rev. C 49, 2839 (1994)
T. Kido, K. Yabana, Y. Suzuki, Phys. Rev. C 50, R1276 (1994)
H. Esbensen, G.F. Bertsch, C.A. Bertulani, Nucl. Phys. A 581, 107 (1995)
H. Esbensen, G.F. Bertsch, Nucl. Phys. A 600, 37 (1996)
T. Kido, K. Yabana, Y. Suzuki, Phys. Rev. C 53, 2296 (1996)
S. Typel, H.H. Wolter, Z. Naturforsch. A 54, 63 (1999)
V.S. Melezhik, D. Baye, Phys. Rev. C 59, 3232 (1999)
V.S. Melezhik, D. Baye, Phys. Rev. C 64, 054612 (2001)
S. Typel, R. Shyam, Phys. Rev. C 64, 024605 (2001)
M. Fallot, J.A. Scarpaci, D. Lacroix, P. Chomaz, J. Margueron, Nucl. Phys. A 700, 70 (2002)
P. Capel, D. Baye, V.S. Melezhik, Phys. Rev. C 68, 014612 (2003)
H. Esbensen, C.A. Bertulani, Phys. Rev. C 65, 024605 (2002)
C. Angulo, M. Arnould, M. Rayet, P. Descouvemont, D. Baye, C. Leclercq-Willain, A. Coc, S. Barhoumi, P. Aguer, C. Rolfs et al., Nucl. Phys. A 656, 3 (1999)
D. Baye, E. Brainis, Phys. Rev. C 61, 025801 (2000)
P. Capel, D. Baye, Phys. Rev. C 71, 044609 (2005)
S. Typel, G. Baur, Nucl. Phys. A 759, 247 (2005)
T. Nakamura, S. Shimoura, T. Kobayashi, T. Teranishi, K. Abe, N. Aoi, Y. Doki, M. Fujimaki, N. Inabe, N. Iwasa et al., Phys. Lett. B 331, 296 (1994)
N. Fukuda, T. Nakamura, N. Aoi, N. Imai, M. Ishihara, T. Kobayashi, H. Iwasaki, T. Kubo, A. Mengoni, M. Notani et al., Phys. Rev. C 70, 054606 (2004)
P. Capel, F.M. Nunes, Phys. Rev. C 73, 014615 (2006)
R. Palit, P. Adrich, T. Aumann, K. Boretzky, B.V. Carlson, D. Cortina, U. Datta Pramanik, T.W. Elze, H. Emling, H. Geissel et al., Phys. Rev. C 68, 034318 (2003)
T. Nakamura, N. Fukuda, N. Aoi, H. Iwasaki, T. Kobayashi, T. Kubo, A. Mengoni, M. Notani, H. Otsu, H. Sakurai et al., Nucl. Phys. A 722, 301c (2003)
P. Capel, G. Goldstein, D. Baye, Phys. Rev. C 70, 064605 (2004)
S. Typel, G. Baur, Phys. Rev. C 64, 024601 (2001)
H. Esbensen, G.F. Bertsch, Nucl. Phys. A 706, 383 (2002)
H. Esbensen, G.F. Bertsch, K.A. Snover, Phys. Rev. Lett. 94, 042502 (2005)
D. Baye, P.-H. Heenen, J. Phys. A 19, 2041 (1986)
D. Baye, M. Hesse, M. Vincke, Phys. Rev. E 65, 026701 (2002)
D. Baye, Phys. Stat. Sol. (b) 243, 1095 (2006)
V.S. Melezhik, Phys. Lett. A 230, 203 (1997)
S.A. Chin, C.R. Chen, J. Chem. Phys. 117, 1409 (2002)
D. Baye, G. Goldstein, P. Capel, Phys. Lett. A 317, 337 (2003)
G. Goldstein, D. Baye, Phys. Rev. E 70, 056703 (2004)
M.L. Goldberger, K.M. Watson, Collision Theory (John Wiley & Sons, New York, 1964)
R.G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982)
H. Fuchs, Nucl. Intrum. Meth. 200, 361 (1982)
J.A. Tostevin, F.M. Nunes, I.J. Thompson, Phys. Rev. C 63, 024617 (2001)
R.J. Glauber, High energy collision theory in Lectures in Theoretical Physics, Vol. 1, edited by W.E. Brittin and L.G. Dunham (Interscience, New York, 1959), p. 315
H. Esbensen, G.F. Bertsch, Phys. Rev. C 64, 014608 (2001)
B. Abu-Ibrahim, Y. Suzuki, Phys. Rev. C 62, 034608 (2000)
B. Abu-Ibrahim, Y. Suzuki, Prog. Theor. Phys. 112, 1013 (2004)
J. Margueron, A. Bonaccorso, D.M. Brink, Nucl. Phys. A 703, 105 (2002)
J. Margueron, A. Bonaccorso, D.M. Brink, Nucl. Phys. A 720, 337 (2003)
B. Abu-Ibrahim, Y. Suzuki, Prog. Theor. Phys. 114, 901 (2005)
D. Baye, P. Capel, G. Goldstein, Phys. Rev. Lett. 95, 082502 (2005)
G. Goldstein, D. Baye, P. Capel, Phys. Rev. C 73, 024602 (2006)
M.D. Cortina-Gil, Ph.D. thesis, Université de Caen (1996)
B. Davids, D.W. Anthony, S.M. Austin, D. Bazin, B. Blank, J. Caggiano, M. Chartier, H. Esbensen, P. Hui, C. Powell et al., Phys. Rev. Lett. 81, 2209 (1998)
J. Mortimer, I.J. Thompson, J.A. Tostevin, Phys. Rev. C 65, 064619 (2002)
G. Goldstein, P. Capel, D. Baye, Phys. Rev. C 76, 024608 (2007)
T. Kikuchi, T. Motobayashi, N. Iwasa, Y. Ando, M. Kurokawa, S. Moriya, H. Murakami, T. Nishio, J. Ruan (Gen), S. Shirato et al., Phys. Lett. B 391, 261 (1997)
G. Rawitscher, Phys. Rev. C 9, 2210 (1974)
R.Y. Rasoanaivo, G. Rawitscher, Phys. Rev. C 39, 1709 (1989)
M. Kawai, Prog. Theor. Phys. Suppl. 89, 11 (1986)
T. Matsumoto, T. Kamizato, K. Ogata, Y. Iseri, E. Hiyama, M. Kamimura, M. Yahiro, Phys. Rev. C 68, 064607 (2003)
M. Yahiro, Y. Iseri, H. Kameyama, M. Kamimura, M. Kawai, Prog. Theor. Phys. Suppl. 89, 22 (1986)
N. Austern, Y. Iseri, M. Kamimura, M. Kawai, G. Rawitscher, M. Yahiro, Phys. Rep. 154, 125 (1987)
F.M. Nunes, I.J. Thompson, Phys. Rev. C 59, 2652 (1999)
K. Ogata, M. Yahiro, Y. Iseri, T. Matsumoto, M. Kamimura, Phys. Rev. C 68, 064609 (2003)
K. Ogata, S. Hashimoto, Y. Iseri, M. Kamimura, M. Yahiro, Phys. Rev. C 73, 024605 (2006)
A.M. Moro, F. Pérez-Bernal, J.M. Arias, J. Gómez-Camacho, Phys. Rev. C 73, 044612 (2006)
P. Fröbrich, R. Lipperheide, Theory of Nuclear Reactions (Clarendon, Oxford, 1996)
Y. Sakuragi, M. Yahiro, M. Kamimura, Prog. Theor. Phys. Suppl. 89, 136 (1986)
N.C. Summers, F.M. Nunes, I.J. Thompson, Phys. Rev. C 74, 014606 (2006)
M. Kamimura, T. Matsumoto, E. Hiyama, K. Ogata, Y. Iseri, M. Yahiro, Reaction mechanisms for rare isotope beams, edited by B.A. Brown, AIP Conf. Proc. 791 (AIP, New York, 2005), p. 174
S.C. Pieper, R.B. Wiringa, J. Carlson, Phys. Rev. C 70, 054325 (2004)
K. Wildermuth, Y.C. Tang, A Unified Theory of the Nucleus (Vieweg, Braunschweig, 1977)
R.C. Johnson, J.S. Al-Khalili, J.A. Tostevin, Phys. Rev. Lett. 79, 2771 (1997)
J.A. Tostevin, S. Rugmai, R.C. Johnson, Phys. Rev. C 57, 3225 (1998)
A. Nordsieck, Phys. Rev. 93, 785 (1954)
R. Chatterjee, P. Banerjee, R. Shyam, Nucl. Phys. A 675, 477 (2000)
M. Zadro, Phys. Rev. C 70, 044605 (2004)
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Baye, D. Breakup reaction models for exotic nuclei. Eur. Phys. J. Spec. Top. 156, 93–122 (2008). https://doi.org/10.1140/epjst/e2008-00610-6
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DOI: https://doi.org/10.1140/epjst/e2008-00610-6