Higher-order coupling effects in low energy heavy-ion fusion reactions

Esbensen, H.; Landowne, S.

doi:10.1103/physrevc.35.2090

Cited by 89 publications

(71 citation statements)

References 21 publications

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“…4 to several C. C. calculations that are based on the same structure input as in Ref. [15] and on the M3Y+repulsion potential, but they differ in the assumed value of the nuclear incompressibility. We see that for a hard nuclear EOS (K=290 MeV) the calculated low-energy cross sections deviate strongly from the measured values.…”

Section: Ni+ 58 Nimentioning

confidence: 99%

“…The C. C. equations (20) are written for two coupled vibrators of eigenenergy ε n 1 ,n 2 and consequently the radial wave function u(r) is labeled by the quantum numbers n 1 and n 2 . Expressions for the matrix elements of δV in the double-oscillator basis are given in [15].…”

Section: Coupled-channels Approachmentioning

confidence: 99%

“…However, it is difficult to judge the significance of the results because of the limited number of excitations that were included in the C. C. calculations. For example, the only excitation considered in the nickel isotopes is the one-phonon 2 + excitation, but it is well known that couplings to the 3 − state and higher-order couplings to two-phonon states are tremendously enhancing the heavy-ion fusion cross section [15,16].…”

Section: Introductionmentioning

confidence: 99%

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Signature of shallow potentials in deep sub-barrier fusion reactions

2007

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We extend a recent study that explained the steep falloff in the fusion cross section at energies far below the Coulomb barrier for the symmetric dinuclear system 64 Ni+ 64 Ni to another symmetric system, 58 Ni+ 58 Ni, and the asymmetric system 64 Ni+ 100 Mo. In this scheme the very sensitive dependence of the internal part of the nuclear potential on the nuclear equation of state determines a reduction of the classically allowed region for overlapping configurations and consequently a decrease in the fusion cross sections at bombarding energies far below the barrier. Within the coupled-channels method, including couplings to the low-lying 2 + and 3 − states in both target and projectile as well as mutual and two-phonon excitations of these states, we calculate and compare with the experimental fusion cross sections, S-factors, and logarithmic derivatives for the above mentioned systems and find good agreement with the data even at the lowest energies. We predict, in particular, a distinct double peaking in the S-factor for the far subbarrier fusion of 58 Ni+ 58 Ni which should be tested experimentally.

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Section: Ni+ 58 Nimentioning

confidence: 99%

Section: Coupled-channels Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Signature of shallow potentials in deep sub-barrier fusion reactions

2007

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“…The effects of these couplings can be investigated by coupledchannels (CC) calculations [4][5][6][7][8][9][10][11] and time-dependent Hartree-Fock (TDHF) calculations [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Microscopic study ofCa40+Ni58,64fusion reactions

et al. 2016

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Background: Heavy-ion fusion reactions at energies near the Coulomb barrier are influenced by couplings between the relative motion and nuclear intrinsic degrees of freedom of the colliding nuclei. The time-dependent Hartree-Fock (TDHF) theory, incorporating the couplings at the meanfield level, as well as the coupled-channels (CC) method are standard approaches to describe low energy nuclear reactions. Purpose: To investigate the effect of couplings to inelastic and transfer channels on the fusion cross sections for the reactions 40 Ca+ 58 Ni and 40 Ca+ 64 Ni. Methods: Fusion cross sections around and below the Coulomb barrier have been obtained from coupled-channels (CC) calculations, using the bare nucleus-nucleus potential calculated with the frozen Hartree-Fock method and coupling parameters taken from known nuclear structure data. The fusion thresholds and neutron transfer probabilities have been calculated with the TDHF method.

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“…Our understanding of the fusion reactions between the strongly-bound as well as weakly-bound nuclei have been enriched due to the continuous efforts devoted by nuclear community in the field of theory [1][2][3][4][5][6][7][8][9][10] and experiments [11][12][13][14][15]. The knowledge of the mechanism of heavyion fusion reaction is very crucial to explore the nucleusnucleus potential as well as for the synthesis of super heavy elements.…”

Section: Introductionmentioning

confidence: 99%

A new technique to determine fusion barrier heights using proximity potentials

Kumari

Toshniwal

2015

EPJ Web of Conferences

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Abstract. We develop a new technique to calculate fusion barrier heights of any fixed target reaction series. We calculate the barrier heights for the fusion reactions of 119 Sn and 197 Au targets using this technique. This technique is simple and very useful for estimating the fusion barrier heights for those reactions for which empirical values are not available. A formula is derived by performing theoretical calculations using different versions of proximity potential. Using this formula, we can predict the barrier height for the fusion reaction of any projectile with 119 Sn or 197 Au target using the empirical barrier height for the fusion reaction of same projectile with 62 Ni target. In order to check the accuracy of this technique, the fusion parameters calculated by this new technique are compared with the fusion parameters calculated by using parameterized formulae presented in a systematic study conducted by using double folding model.

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Higher-order coupling effects in low energy heavy-ion fusion reactions

Cited by 89 publications

References 21 publications

Signature of shallow potentials in deep sub-barrier fusion reactions

Signature of shallow potentials in deep sub-barrier fusion reactions

Microscopic study ofCa40+Ni58,64fusion reactions

A new technique to determine fusion barrier heights using proximity potentials

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