A FORTRAN77 program is presented that calculates fusion cross sections and mean angular momenta of the compound nucleus under the influence of couplings between the relative motion and several nuclear collective motions. The no-Coriolis approximation is employed to reduce the dimension of coupled-channels equations. The program takes into account the effects of non-linear couplings to all orders, which have been shown to play an important role in heavy-ion fusion reactions at subbarrier energies. Distribution format: ASCIIComputer for which the program is designed and others on which it has been tested: any UNIX work-station or PC. The program has been tested on DEC and DEC-Alpha. Operating system or monitor under which the program has been tested: UNIX Programming language used: FORTRAN 77Keywords: Heavy-ion subbarrier fusion reactions, coupled-channel equations, higher order coupling, no-Coriolis approximation, incoming wave boundary condition, fusion cross section, mean angular momentum, spin distribution, fusion barrier distribution, multidimensional quantum tunneling Nature of physical problem It has by now been well established that fusion reactions at energies near and below the Coulomb barrier are strongly influenced by couplings of the relative motion of the colliding nuclei to several nuclear intrinsic motions. Recently, precisely measured fusion cross sections have become available for several systems, and a distribution of the Coulomb barrier, which is originated from the channel couplings, have been extracted. It has been pointed out that the linear coupling approximation, which has often been used in coupledchannels calculations, is inadequate in order to analyze such high presicion experimental data. The program CCFULL solves the coupled-channels equations to compute fusion cross sections and mean angular momenta of compound nucleus, taking into account the couplings to all orders. Method of solutionCCFULL directly integrates coupled second order differential equations using the modified Numerov method. The incoming wave boundary condition is employed and a barrier penetrability is calculated for each partial wave. Nuclear coupling matrix elements are evaluated by using the matrix diagonalisation method once the physical space has been defined. Restrictions on the complexity of the programThe program is best suited for systems where the number of channels which strongly couple to the ground state is relatively small and where multi-nucleon transfer reactions play less important role compared with inelastic channels. It also relies on an assumption that the fusion process is predominantly governed by quantum tunneling over the Coulomb 2 barrier. This assumption restricts a system which the program can handle to that where the sum of the charge of the projectile and the target nuclei Z p + Z T is larger than around 12 and the charge product Z p Z T less than around 1800. For most of experimental data which were measured to aim to extract fusion barrier distributions, this condition is well ...

Paring correlations in weakly bound nuclei on the edge of neutron drip line is studied by using a three-body model. A density-dependent contact interaction is employed to calculate the ground state of halo nuclei $^{6}$He and $^{11}$Li, as well as a skin nucleus $^{24}$O. Dipole excitations in these nuclei are also studied within the same model. We point out that the di-neutron type correlation plays a dominant role in the halo nuclei $^{6}$He and $^{11}$Li having the coupled spin of the two neutrons $S$=0, while the correlation similar to the BCS type is important in $^{24}$O. Contributions of the spin $S$=1 and S=0 configurations are separately discussed in the low energy dipole excitations.Comment: 6 pages, 12 eps figure

Low-energy heavy-ion fusion reactions are governed by quantum tunneling through the Coulomb barrier formed by the strong cancellation of the repulsive Coulomb force with the attractive nuclear interaction between the colliding nuclei. Extensive experimental as well as theoretical studies have revealed that fusion reactions are strongly influenced by couplings of the relative motion of the colliding nuclei to several nuclear intrinsic motions. Heavy-ion subbarrier fusion reactions thus provide a good opportunity to address the general problem of quantum tunneling in the presence of couplings, which has been a popular subject in recent decades in many branches of physics and chemistry. Here, we review theoretical aspects of heavy-ion subbarrier fusion reactions from the viewpoint of quantum tunneling in systems with many degrees of freedom. Particular emphases are put on the coupled-channels approach to fusion reactions and the barrier distribution representation for multichannel penetrability. We also discuss an application of the barrier distribution method to elucidate the mechanism of the dissociative adsorption of H 2 molecules in surface science.

Complete fusion excitation functions for 9 Be 1 208 Pb have been measured to high precision at near barrier energies. The experimental fusion barrier distribution extracted from these data allows reliable prediction of the expected complete fusion cross sections. However, the measured cross sections are only 68% of those predicted. The large cross sections observed for incomplete fusion products support the interpretation that this suppression of fusion is caused by 9 Be breaking up into charged fragments before reaching the fusion barrier. Implications for the fusion of radioactive nuclei are discussed. [S0031-9007(99)08474-4] PACS numbers: 25.70.Jj, 25.70.Mn

We carry out realistic coupled-channels calculations for 11 Be + 208 Pb reaction in order to discuss the effects of break-up of the projectile nucleus on sub-barrier fusion. We discretize in energy the particle continuum states, which are associated with the break-up process, and construct the coupling form factors to these states on a microscopic basis. The incoming boundary condition is employed in solving coupled-channels equations, which enables us to define the flux for complete fusion inside the Coulomb barrier. It is shown that complete fusion cross sections are significantly enhanced due to the couplings to the continuum states compared with the no coupling case at energies below the Coulomb barrier, while they are hindered at above barrier energies.Quantum tunneling in systems with many degrees of freedom [1] has attracted much interest in recent years in many fields of physics and chemistry [2]. In nuclear physics, heavy-ion fusion reactions at energies near and below the Coulomb barrier are typical examples for this phenomenon. In order for fusion processes to take place, the Coulomb barrier created by the cancellation between the repulsive Coulomb force and the attractive nuclear interaction has to be overcome. It has by now been well established that the coupling of the relative motion of the colliding nuclei to nuclear intrinsic excitations as well as to transfer reaction channels cause large enhancements of the fusion cross section at subbarrier energies over the predictions of a simple barrier penetration model [3].The effect of break-up processes on fusion, on the other hand, has not yet been understood very well, and many questions have been raised during the last few years both from the experimental [4][5][6][7][8] and theoretical [9-12] points of view. The issue has become especially relevant in recent years due to the increasing availability of radioactive beams. These often involve weakly-bound systems close to the drip lines for which the possibility of projectile dissociation prior to or at the point of contact cannot be ignored. Different theoretical approaches to the problem have led to controversial results, not only quantitatively but also qualitatively. The probability for fusion at energies below the barrier has been in fact predicted to be either reduced [9,10] or enhanced [11,12] by the coupling to the continuum states.These investigations, however, were not satisfactory in view of the rather simplified assumptions used in the treatment of both the structure and reaction aspects of the problem.