This book focuses on the time-dependent theory for sub-atomic reactions. There are two
important theoretical ingredients for sub-atomic reactions such as heavy-ion reactions. One
arises from the quantum theoretical aspects, and the other from the many-body theoretical
aspects. At this point, for heavy-ion reactions, there is no theoretical calculations fully
taking into account both of the two aspects. This simply tell us the difficulty of calculating
and understanding many-nucleon systems.
Much attention is paid to low-energy heavy-ion reactions. Several types of model equa-
tions are investigated. Mean-field type theories with or without pairing correlation are
included in Chap. 1 (P. Stevenson), Chap. 2 (V.E. Oberacker and A. S. Umar), Chap.
3 (K. Sekizawa and K. Yabana), and Chp. 4 (P. Magierski); beyond the mean-field type
theories are included in Chap. 5 (C. Simenel), Chap. 6 (D. Lacroix), Chap. 7 (A. Ono),
Chap. 8 (A. Diaz-Torres), Chap. 9 (W. Cassing), Chap. 10 (N. Itagaki, T. Ichikawa, Y.
Iwata and P. W. Zhao), and Chap. 11 (M. Kimura); semi-classical and classical theories are
included in Chap. 12 (T. Maruyama), and Chap. 13 (Y. Aritomo).
This book is published to celebrate 65 years old birthday of Prof. Maruhn. Fourteen
modern and advanced topics in the field of time-dependent reaction theory are included in
this book. Eventually I would like to thank all the authors. Shehzad Naqvi and Omer Shafi
of Bentham Science Publishers are acknowledged for their efforts to realize this publication
School of Science,
The University of Tokyo
Hongo, Tokyo, Japan