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\documentclass[11pt]{report}
\include{begin}
\begin{thebibliography}{99}
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{Ann. of Phys. {\bf 149}, 374 (1983)}.
\bibitem{dasgupta} M. Dasgupta, D. J. Hinde, N. Rowley, and A. M. Stefanini,
\href{http://dx.doi.org/10.1146/annurev.nucl.48.1.401}
{Annu. Rev. Nucl. Part. Sci. {\bf 48}, 401 (1998)}.
% "Measuring barriers to fusion"
% review of fusion reaction
\bibitem{L95} L. R. Leigh, M. Dasgupta, D. J. Hinde, J. C. Mein,
C. R. Morton, R. C. Lemmon, J. P. Lestone, J. O. Newton,
H. Timmers, J. X. Wei, and N. Rowley,
\href{http://dx.doi.org/10.1103/PhysRevC.52.3151}
{Phys. Rev. C {\bf 52}, 3151 (1995)}.
% Barrier distributions from the fusion of oxygen ions with $^{144,148,154}$Sm
% and $^{186}$W, experimental data
% 5
\bibitem{DLW83}C. H. Dasso, S. Landowne, and A. Winther,
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{Nucl. Phys. {\bf A405}, 381 (1983)};
\href{http://dx.doi.org/10.1016/0375-9474(83)90316-0}
{{\bf A407}, 221 (1983)}.
% "Channel-coupling effects in heavy-ion fusion reactions"
% study of channel-coupling effects using 1-dimensional model
\bibitem{fusionbar} N. Rowley, G. R. Satchler and P. H. Stelson,
\href{http://dx.doi.org/10.1016/0370-2693(91)90389-8}
{Phys. Lett. {\bf B254} 25, (1991)}.
\bibitem{timmers} H. Timmers, J. R. Leigh, M. Dasgupta, D. J. Hinde,
R. C. Lemmon, J. C. Mein, C. R. Morton, J. O. Newton,
and N. Rowley,
\href{http://dx.doi.org/10.1016/0375-9474(94)00521-N}
{Nucl. Phys. {\bf A584}, 190 (1995)}.
% "Probing fusion barrier distributions with quasi-elastic scattering"
\bibitem{HR04} K. Hagino and N. Rowley,
\href{http://dx.doi.org/10.1103/PhysRevC.69.054610}
{Phys. Rev.C {\bf 69}, 054610 (2004)}.
% "Large-angle scattering and quasi-elastic barrier distributions"
% theoretical study of qel.
\bibitem{HTK97}K. Hagino, N. Takigawa, and S. Kuyucak,
\href{http://dx.doi.org/10.1103/PhysRevLett.79.2943}
{Phys. Rev. Lett. {\bf 79}, 2943 (1997)};
K. Hagino, S. Kuyucak, and N. Takigawa,
\href{http://dx.doi.org/10.1103/PhysRevC.57.1349}
{Phys. Rev. C {\bf 57}, 1349 (1998)}.
% "Role of Anharmonicities of Nuclear Vibrations in Fusion Reactions at
% Sub-barrier Energies"
% theoretical study of anharmonicity, 16O + 144Sm
\bibitem{zamrun}Muhammad Zamrun F. and K. Hagino,
\href{http://dx.doi.org/10.1103/PhysRevC.77.014606}
{Phys. Rev. C {\bf 77}, 014606 (2008)}.
% "Effects of anharmonic vibration on large-angle quasi-elastic scattering
% $^{16}$ + $^{144}$Sm"
% 10
\bibitem{BT98} A. B. Balantekin and N. Takigawa,
\href{http://dx.doi.org/10.1103/RevModPhys.70.77}
{Rev. Mod. Phys. {\bf 70}, 77 (1998)}.
\bibitem{LRL93} J. R. Leigh, N. Rowley, R. C. Lemmon, D. J. Hinde, J. O. Newton,
J. X. Wei, J. C. Mein, C. R. Morton, S. Kuyucak, and A. T. Kruppa,
\href{http://dx.doi.org/10.1103/PhysRevC.47.R437}
{Phys. Rev. C {\bf 47}, R437 (1993)}.
% "Reconciling deformation parameters from fusion with those from Coulomb
% excitation"
% determination of beta_4 by fusion barrier distribution
\bibitem{TCS97} H. Timmers, L. Corradi, A. M. Stefanini, D. Ackermann, J. H. He,
S. Beghini, G. Montagnoli, F. Scarlassara, G. F. Segato, N. Rowley,
\href{http://dx.doi.org/10.1016/S0370-2693(97)00273-6}
{Phys. Lett. B {\bf 399}, 35 (1997)}.
% "Strong isotopic dependence of the fusion of $^{40}$Ca + $^{90,96}$Zr"
% fusion reaction, transfer effects, 40Ca + 90,96Zr
\bibitem{MHD07} A. Mukherjee, D. J. Hinde, M. Dasgupta, K. Hagino, J. O.
Newton, and R. D. Butt,
\href{http://dx.doi.org/10.1103/PhysRevC.75.044608}
{Phys. Rev. C {\bf 75}, 044608 (2007)}.
% "Failure of the Woods-Saxon nuclear potential to simultaneously reproduce
% precise fusion and elastic scattering measurements"
% surface diffuseness anomaly
\bibitem{N04}J. O. Newton {\it et al.},
\href{http://dx.doi.org/10.1016/j.physletb.2004.02.052}
{Phys. Lett. {\bf B586}, 219 (2004)};
\href{http://dx.doi.org/10.1103/PhysRevC.70.024605}
{Phys. Rev. C {\bf 70}, 024605 (2004)}.
% "Systematic failure of the Woods-Saxon nuclear potential to describe both
% fusion and elastic scattering Possible need for a new dynamical approach to
% fusion"
% surface diffuseness anomaly
\bibitem{J02}C. L. Jiang {\it et al.},
\href{http://dx.doi.org/10.1103/PhysRevLett.89.052701}
{Phys. Rev. Lett. {\bf 89} (2002) 052701};
C. L. Jiang, K. E. Rehm, B. B. Back, and R. V. F. Janssens,
\href{http://dx.doi.org/10.1103/PhysRevC.79.044601}
{Phys. Rev. C {\bf 79} 044601 (2009)}, and references therein.
% "Survey of heavy-ion fusion hindrance for lighter systems"
% fusion hindrance at deep-subbarrier energies
% 15
\bibitem{JRJ04} C. L. Jiang {\it et al.},
\href{http://dx.doi.org/10.1103/PhysRevLett.93.012701}
{Phys. Rev. Lett. {\bf 93}, 012701 (2004)}.
% fusion hindrance at deep-subbarrier energies
\bibitem{DHD07} M. Dasgupta, D. J. Hinde, A. Diaz-Torres, B. Bouriquet,
Catherine I. Low, G. J. Milburn, and J. O. Newton,
\href{http://dx.doi.org/10.1103/PhysRevLett.99.192701}
{Phys. Rev. Lett. {\bf 99}, 192701 (2007)}.
% fusion hindrance at deep-subbarrier energies
\bibitem{S08}A. M. Stefanini {\it et al.},
\href{http://dx.doi.org/10.1103/PhysRevC.78.044607}
{Phys. Rev. C {\bf 78} 044607 (2008)};
\href{http://dx.doi.org/10.1016/j.physletb.2009.07.017}
{Phys. Lett. {\bf B679}, 95 (2009)}.
% fusion hindrance at deep-subbarrier energies
\bibitem{piasecki} E. Piasecki,
\L. \'Swiderski, W. Gawlikowicz, J. Jastrzebski, N. Keeley, M. Kisieli\'nski,
S. Kliczewski, A. Kordyasz, M. Kowalczyk, S. Khlebnikov, E. Koshchiy,
E. Kozulin, T. Krogulski, T. Loktev, M. Mutterer, K. Piasecki,
A. Pi\'orkowska, K. Rusek, A. Staudt, M. Sillanp\"a\"a, S. Smirnov,
I. Strojek, G. Tiourin, W. H. Trzaska, A. Trzci\'nska, K. Hagino, and N. Rowley,
\href{http://dx.doi.org/10.1103/PhysRevC.80.054613}
{Phys. Rev. C {\bf 80}, 054613 (2009)}.
% "Effects of weakly coupled channels on quasielastic barrier distributions"
\bibitem{T98} H. Timmers, D. Ackermann, S. Beghini, L. Corradi, J. H. He, G.
Montagnoli, F. Scarlassara, A. M. Stefanini, and N. Rowley,
\href{http://dx.doi.org/10.1016/S0375-9474(98)00121-3}
{Nucl. Phys. A {\bf 633}, 421 (1998)}.
% A case study of collectivity, trasfer and fusion enhancement $^{40}$Ca +
% $^{96}$Zr
% $^{40}$Ca + $^{90,96}$Zr, fusion reaction experiment
\bibitem{bnl}
Brookhaven National Laboratory, Evaluated Nuclear Structure Data File,
\href{http://www.nndc.bnl.gov/ensdf/}
{http://www.nndc.bnl.gov/ensdf/}. See references therein.
\bibitem{T96} H. Timmers, Ph. D. thesis, Australian National University, 1996.
\bibitem{T97}H. Timmers {\it et al.},
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\bibitem{evers} M. Evers, M. Dasgupta, D. J. Hinde, L. R. Gasques,
M. L. Brown, R. Rafiei, and R. G. Thomas,
\href{http://dx.doi.org/10.1103/PhysRevC.78.034614}
{Phys. Rev. C {\bf 78}, 034614 (2008)}.
\bibitem{lin} C. J. Lin, H. M. Jia, H. Q. Zhang, F. Yang, X. X. Xu, F. Jia,
Z. H. Liu, and K. Hagino,
\href{http://dx.doi.org/10.1103/PhysRevC.79.064603}
{Phys. Rev. C {\bf 79}, 064603 (2009)}.
% Q-value distribution for 16O + 208Pb scattering
\bibitem{evers2} M. Evers, M. Dasgupta, D. J. Hinde, D. H. Luong, R. Rafiei,
and R. du. Rietz,
\href{http://dx.doi.org/10.1103/PhysRevC.84.054614}
{Phys. Rev. C {\bf 84}, 054614 (2011)}.
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O. Newton, K. Hagino, and I. J. Thompson,
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G. Reidemeister,
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{Phys. Rev. C {\bf 45}, 1850 (1992)}.
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{Nucl. Phys. {\bf A577}, 709 (1994)}.
\bibitem{GAN94}J. Gomez-Camacho, M. V. Andres, and M. A. Nagarajan,
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{Nucl. Phys. {\bf A580}, 156 (1994)}.
\bibitem{HTBB95}K. Hagino, N. Takigawa, A. B. Balantekin, and J. R. Bennett,
\href{http://dx.doi.org/10.1103/PhysRevC.52.286}
{Phys. Rev. C {\bf 52}, 286(1995)}.
\bibitem{THAB94}N. Takigawa, K. Hagino, M. Abe, and A. B. Balantekin,
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{Phys. Rev. C {\bf 49}, 2630 (1994)}.
% "Role of mass renormalization in adiabatic quantum tunneling"
% derivation based on path integral
\bibitem{ccfull}K. Hagino, N. Rowley, A. T. Kruppa,
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{Phys. Rev. Ca {\bf 12}, 757 (1975)}.
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{Phys. Rev. C {\bf 7}, 1966 (1973)}.
\bibitem{KPW76} C. M. Ko, H. J. Pirner, and H. A. Weidenm\"{u}ller,
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{Phys. Lett. {\bf 62B}, 248 (1976)}.
\bibitem{AKW78} D. Agassi, H. A. Weidenm\"{u}ller, and C. M. Ko,
\href{http://dx.doi.org/10.1016/0370-2693(78)90515-4}
{Phys. Lett. {\bf 73B}, 284 (1978)}.
\bibitem{BSW78} B. R. Barrett, S. Shlomo, and H. A. Weidenm\"{u}ller,
\href{http://dx.doi.org/10.1103/PhysRevC.17.544}
{Phys. Rev. C {\bf 17}, 544 (1978)}.
\bibitem{akw1} D. Agassi, C. M. Ko, and H. A. Weidenm\"{u}ller,
\href{http://dx.doi.org/10.1016/0003-4916(77)90207-X}
{Ann. Phys. {\bf 107}, 140 (1977)}.
\bibitem{akw2} C. M. Ko, D. Agassi, and H. A. Weidenm\"{u}ller,
\href{http://dx.doi.org/10.1016/0003-4916(79)90355-5}
{Ann. Phys. {\bf 117}, 237 (1979)}.
\bibitem{akw3} D. Agassi, C. M. Ko, and H. A. Weidenm\"{u}ller,
\href{http://dx.doi.org/10.1016/0003-4916(79)90362-2}
{Ann. Phys. {\bf 117}, 407 (1979)}.
% 50
\bibitem{akw4} D. Agassi, C. M. Ko, and H. A. Weidenm\"{u}ller,
\href{http://dx.doi.org/10.1103/PhysRevC.18.223}
{Phys. Rev. C {\bf 18}, 223 (1978)}.
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\href{http://dx.doi.org/10.1103/PhysRevC.85.054601}
{Phys. Rev. C {\bf 85}, 054601 (2012)}.
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{Phys. Rev. Lett. {\bf 38}, 807 (1977)}.
\bibitem{BH83} R. H. Spear, W. J. Vermeer, M. T. Esat, J.A. Kuehner, A. M.
Baxter, and S. Hinds,
\href{http://dx.doi.org/10.1016/0370-2693(83)90067-9}
{Phys. Lett. B {\bf 128}, 29 (1983)}.
\bibitem{FT90} M. J. Smithson, J. S. Lilley, M. A. Nagarajan, P. V. Drumm,
R. A. Cunningham, B. R. Fulton and I. J. Thompson,
\href{http://dx.doi.org/10.1016/0375-9474(90)90268-Q}
{Nucl. Phys. {\bf A517}, 193 (1990)}.
% 55
\bibitem{RS} P. Ring and P. Schuck, {\it The nuclear many body problem}
(Springer-Verlag, New York, 1980).
\bibitem{BM1} A.Bohr and B.Mottelson, {\it Nuclear Structure}
(Benjamin, New York), Vol.1 (1969).
\bibitem{BM2} A.Bohr and B.Mottelson, {\it Nuclear Structure}
(Benjamin, New York), Vol.2 (1975).
\bibitem{YGMY96} Minfang Yeh, P. E. Garrett, C. A. McGrath,
S. W. Yates, and T. Belgya,
\href{http://dx.doi.org/10.1103/PhysRevLett.76.1208}
{Phys. Rev. Lett. {\bf 76}, 1208 (1996)}.
% "Two-Phonon Octupole Excitation in 208Pb"
% experimental study of 2-phonon states in 208Pb
\bibitem{VMA97} K. Vetter {\it et al.},
\href{http://dx.doi.org/10.1103/PhysRevC.56.2316}
{Phys. Rev. C {\bf 56}, 2316 (1997)}.
% "Population and detection of two-phonon octupole vibrational states in 208Pb"
% experimental study of 2-phonon states in 208Pb
\bibitem{YKG98} Minfang Yeh, M. Kadi, P. E. Garrett, C. A. McGrath,
S. W. Yates, and T. Belgya,
\href{http://dx.doi.org/10.1103/PhysRevC.57.R2085}
{Phys. Rev. C {\bf 57} R2085 (1998)}.
% "Candidates for two-phonon octupole excitations in 208Pb"
% experimental study of 2-phonon states in 208Pb
% 60
\bibitem{VMC98} K. Vetter {\it et al.},
\href{http://dx.doi.org/10.1103/PhysRevC.58.R2631}
{Phys. Rev. C {\bf 58}, R2631 (1998)}.
% "Fragmentation of the two-phonon octupole vibrational states in 208Pb"
% experimental study of 2-phonon states in 208Pb
\bibitem{VPE01} B. D. Valnion, V. Yu. Ponomarev, Y. Eisermann, A. Gollwitzer,
R. Hertenberger, A. Metz, P. Schiemenz, and G. Graw,
\href{http://dx.doi.org/10.1103/PhysRevC.63.024318}
{Phys. Rev. C {\bf 63}, 024318 (2001)}.
% "Excitation of 208Pb in light ion induced reactions and the two octupole
% phonon multiplet"
% experimental study of 2-phonon states in 208Pb
\bibitem{Rose} M. E. Rose, {\it Elementary theory of angular momentum}, (Dover,
2011).
\bibitem{Wong} C. Y. Wong,
\href{http://dx.doi.org/10.1103/PhysRevLett.31.766}
{Phys. Rev. Lett. {\bf 31}, 766 (1973)}.
\bibitem{HTB97}K. Hagino, N. Takigawa, and A. B. Balantekin,
\href{http://dx.doi.org/10.1103/PhysRevC.56.2104}
{Phys. Rev. C {\bf 56}, 2104 (1997)}.
% Fusion barrier distributions in systems with finite excitation energy
\bibitem{KRNR93} A. T. Kruppa, P. Romain, M. A. Nagarajan, and, N. Rowley,
\href{http://dx.doi.org/10.1016/0375-9474(93)90174-V}
{Nucl. Phys. A {\bf 560}, 845 (1993)}.
% "Effect of multiphonon coupling on heavy-ion fusion"
% effective phonon state
\bibitem{RS81} S. G. Rohozi\'{n}ski and A. Sobiczewski,
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\end{thebibliography}
\include{end}