Fusion of 28Si + 68Zn, 32S + 64Ni, 37Cl + 59Co and 45Sc + 51V in the vicinity of the Coulomb barrier

Dasgupta, M.; Navin, A.; Agarwal, Y.K.; Baba, C.V.K.; Jain, H. C.; Jhingan, Mahima; Roy, A.

doi:10.1016/0375-9474(92)90274-n

Cited by 99 publications

(42 citation statements)

References 26 publications

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“…Even though the approach of CCFUS provides an elegant mathematical solution to the matrix diagonalization problem it ignores all the states where the same phonon appears more than once, e.g., the double-phonon states. Dasgupta et al (1992) and Kruppa et al (1993) pointed out that in some cases the coupling of a state like (b † i ) 2 | 0 to the ground state can be stronger than the coupling of a state like Kruppa et al (1993) considered quadrupole and octupole phonons, but included their double-phonon states as well diagonalizing the resulting 6 × 6 matrix. Dasgupta et al (1992) excluded all multiplephonon states, so for n different types of phonons they numerically diagonalized an (n + 1) × (n + 1) matrix instead of analytically diagonalizing an 2 n × 2 n matrix.…”

Section: B Simplified Coupled-channels Modelsmentioning

confidence: 99%

“…Dasgupta et al (1992) and Kruppa et al (1993) pointed out that in some cases the coupling of a state like (b † i ) 2 | 0 to the ground state can be stronger than the coupling of a state like Kruppa et al (1993) considered quadrupole and octupole phonons, but included their double-phonon states as well diagonalizing the resulting 6 × 6 matrix. Dasgupta et al (1992) excluded all multiplephonon states, so for n different types of phonons they numerically diagonalized an (n + 1) × (n + 1) matrix instead of analytically diagonalizing an 2 n × 2 n matrix. The resulting simplified coupled channels code is named CCMOD (Dasgupta et al, 1992).…”

Section: B Simplified Coupled-channels Modelsmentioning

confidence: 99%

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Quantum tunneling in nuclear fusion

1998

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Recent theoretical advances in the study of heavy ion fusion reactions below the Coulomb barrier are reviewed. Particular emphasis is given to new ways of analyzing data, such as studying barrier distributions; new approaches to channel coupling, such as the path integral and Green function formalisms; and alternative methods to describe nuclear structure effects, such as those using the Interacting Boson Model. The roles of nucleon transfer, asymmetry effects, higher-order couplings, and shape-phase transitions are elucidated. The current status of the fusion of unstable nuclei and very massive systems are briefly discussed.

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Section: B Simplified Coupled-channels Modelsmentioning

confidence: 99%

Section: B Simplified Coupled-channels Modelsmentioning

confidence: 99%

Quantum tunneling in nuclear fusion

1998

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“…It was shown in Ref. [2] that coupling to the 3 − 1 state in 16 O at 6.13 MeV using the simplified CC code CCMOD [15], which uses the linear coupling approximation, resulted in a deterioration in the agreement with the measured barrier distribution. This effect is related to the neglect of the higher-order terms in the CC calculations [17,25].…”

Section: Approximations Used In Solving the Coupled Equationsmentioning

confidence: 99%

“…The CC description is expected to be simpler for systems involving the fusion of closed-shell nuclei due to the presence of relatively few low-lying collective states. An example is the 16 O+ 144 Sm system, where a good description [10] of the experimental barrier distribution was obtained with a simplified CC model [14,15]. This description was somewhat fortuitous in view of the approximations used in this model.…”

Section: Introductionmentioning

confidence: 99%

Coupled-channels analysis of the16O+208Pbfusion barrier distribution

et al. 1999

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Analyses using simplified coupled-channels models have been unable to describe the shape of the previously measured fusion barrier distribution for the doubly magic 16 O+ 208 Pb system. This problem was investigated by remeasuring the fission excitation function for 16 O+ 208 Pb with improved accuracy and performing more exact coupled-channels calculations, avoiding the constant-coupling and first-order coupling approximations often used in simplified analyses. Couplings to the single-and 2-phonon states of 208 Pb, correctly taking into account the excitation energy and the phonon character of these states, particle transfers, and the effects of varying the diffuseness of the nuclear potential, were all explored. However, in contrast to other recent analyses of precise fusion data, no satisfactory simultaneous description of the 1 shape of the experimental barrier distribution and the fusion cross-sections for 16 O+ 208 Pb was obtained.

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“…This is the most difficult problem in the fusion of massive nuclei, and there are still large ambiguities in theoretical predictions of fusion cross sections. Because of this reason, one often employs a simplified coupled-channels treatment for the barrier penetration prior to the touching configuration [5,7], which is essentially based on the constant coupling approximation [8] or a variant [9].…”

Section: Introductionmentioning

confidence: 99%

Fusion dynamics around the Coulomb barrier

Hagino¹

2004

AIP Conference Proceedings

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Abstract.We perform exact coupled-channels calculations, taking into account properly the effects of Coulomb coupling and the finite excitation energy of collective excitations in the colliding nuclei, for three Fm formation reactions, 37 Sc + 197 Au reactions, those calculations well reproduce the experimental total fission cross sections, and a part of the extra-push phenomena can be explained in terms of the Coulomb excitations to multi-phonon states. On the other hand, for the heaviest system, the deep-inelastic collisions become much more significant, and the fission cross sections are strongly overestimated. We also discuss the surprisingly large surface diffuseness parameters required to fit recent highprecision fusion data for medium-heavy systems, in connection with the fusion supression observed in massive systems.

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Fusion of 28Si + 68Zn, 32S + 64Ni, 37Cl + 59Co and 45Sc + 51V in the vicinity of the Coulomb barrier

Cited by 99 publications

References 26 publications

Quantum tunneling in nuclear fusion

Quantum tunneling in nuclear fusion

Coupled-channels analysis of the16O+208Pbfusion barrier distribution

Fusion dynamics around the Coulomb barrier

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