Fusion Cross Sections at Deep Sub-barrier Energies

A recent publication reports that heavy-ion fusion cross sections at extreme subbarrier energies show a continuous change of their logarithmic slope with decreasing energy, resulting in a much steeper excitation function compared with theoretical predictions. We show that the energy dependence of this slope is partly due to the asymmetric shape of the Coulomb barrier, that is its deviation from a harmonic shape. We also point out that the large low-energy slope is consistent with the surprisingly large surface diffusenesses required to fit recent high-precision fusion data.

[1]  B. Back,et al.  Unexpected behavior of heavy-ion fusion cross sections at extreme sub-barrier energies. , 2002, Physical review letters.

[2]  M. Dasgupta,et al.  Importance of geometrical corrections to fusion barrier calculations for deformed nuclei , 2002 .

[3]  K. Hagino,et al.  Experimental barrier distributions for the fusion of 12 C, 16 O, 28 Si and 35 Cl with 92 Zr and coupled-channels analyses , 2001 .

[4]  K. Hagino,et al.  Influence of higher-order deformations in the 34 S + 168 Er fusion reaction , 2001, nucl-ex/0106023.

[5]  B. V. Carlson,et al.  The heavy-ion nuclear potential: determination of a systematic behavior at the region of surface interaction distances , 2001 .

[6]  M. Bisogno,et al.  Near-barrier fusion of 36 S+ 90,96 Zr: The effect of the strong octupole vibration of 96 Zr , 2000 .

[7]  K. Hagino,et al.  Coupled-channels analysis of the 16 O1 208 Pb fusion barrier distribution , 1999, nucl-ex/9907003.

[8]  K. Hagino,et al.  A program for coupled-channel calculations with all order couplings for heavy-ion fusion reactions , 1999, nucl-th/9903074.

[9]  A. Stefanini,et al.  MEASURING BARRIERS TO FUSION , 1998 .

[10]  A. Balantekin,et al.  Quantum tunneling in nuclear fusion , 1997, nucl-th/9708036.

[11]  M. R. Bhat Nuclear Data Sheets for A ;eq 58 , 1997 .

[12]  L. Losano,et al.  Isotopic dependence of the ion-ion potential in the systems 16O+58,60,62,64Ni , 1996 .

[13]  Wei,et al.  Barrier distributions from the fusion of oxygen ions with 144,148,154Sm and 186W. , 1995, Physical review. C, Nuclear physics.

[14]  Napoli,et al.  Influence of complex surface vibrations on the fusion of 58Ni+60Ni. , 1995, Physical review letters.

[15]  A. Merchant,et al.  Barrier penetration at astrophysical energies , 1991 .

[16]  N. Rowley,et al.  On the “distribution of barriers” interpretation of heavy-ion fusion , 1991 .

[17]  M. Beckerman,et al.  Near- and sub-barrier fusion of /sup 58/Ni with /sup 58/Ni , 1981 .

[18]  A. Winther,et al.  The evidence of the ion-ion potentials from heavy ion elastic scattering , 1976 .

[19]  N. Rowley,et al.  An interaction potential for heavy-ion scattering , 1974 .

[20]  C. Wong Interaction Barrier in Charged-Particle Nuclear Reactions , 1973 .