Near-barrier heavy-ion fusion: Role of boundary conditions in coupling of channels

Wen, Peiwei; Чулуунбаатар, О.; Гусев, А. А.; Nazmitdinov, R. G.; Nasirov, A. K.; Vinitsky, S. I.; Lin, C. J.; Jia, H. M.

doi:10.1103/physrevc.101.014618

Cited by 13 publications

(6 citation statements)

References 47 publications

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“…This approach has been developed in Refs. [26,27] and based on the finite element method KANTBP [32][33][34][35][36]). The obtained results reproduce remarkably well the experimental data with the aid of the simple WS potential.…”

Section: S(e)pe0h9mentioning

confidence: 99%

“…The main goal of the present paper is to explain the unexpected deep sub-barrier heavy-ion fusion hindrance, providing the principle of bounding solutions for the scattering problem of two colliding nuclei, developed in Refs. [26,27].…”

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confidence: 99%

“…To treat properly this problem, at the left boundary we adopt the linear transformation method [26,27]. Namely, at r ≤ r min , when the off-diagonal matrix elements have been taken into account, the modified solutions of the CC equations ψ( ) nno (r) consist of the linear independent solutions φ…”

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confidence: 99%

“…The coupling radius parameter for the collective vibrations is set to be 1.2 fm for all the cases in this study [26]. Note, that the value of max is restricted by the constraint on the incident energy values E in the entrance channel: E = V ( ) (r min ), where V ( ) (r min ) is the potential minimum, and = 0, ..., max .…”

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confidence: 99%

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Potential roots of the deep sub-barrier heavy-ion fusion hindrance phenomenon

Wen,

Lin,

Nazmitdinov

et al. 2020

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We analyse the origin of the unexpected deep sub-barrier heavy-ion fusion hindrance in 64 Ni+ 100 Mo and 28 Si+ 64 Ni recations. Our analysis is based on the improved coupled-channels approach, implemented by means of the finite element method. With the aid of the Woods-Saxon potential the experimental cross sections and the S-factors of these reactions are remarkably well reproduced. We found that the account on the non-diagonal matrix elements of the coupling matrix, traditionally neglected in the conventional coupled-channels approaches in setting the left boundary conditions inside the potential pocket, and its minimal value are crucially important for the interpretation experimental data. Within our approach we found a good agreement with the experimental data for the S-factor of the fusion reaction 12 C+ 12 C, which has no a pronounced maximum for this system.

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Section: S(e)pe0h9mentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Potential roots of the deep sub-barrier heavy-ion fusion hindrance phenomenon

Wen,

Lin,

Nazmitdinov

et al. 2020

Preprint

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“…Fusion processes at energies near the Coulomb barrier can be considered as a multidimensional barrier penetration problem [5][6][7][8]. The multidimensional barrier penetration part can be explained by disentangling the coupled channel (CC) model equations [9][10][11][12][13]. Nevertheless, on account of complex reaction mechanisms, it is obligatory to reckon with a great number of channels that are difficult to perform in the calculation model.…”

Section: Introduction mentioning

confidence: 99%

Theoretical Inspecting of <sup>211</sup>At Radionuclide via Coupled-Channel Model for Fusion Reaction of Stable Nuclei

et al. 2021

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This work has been carried out to obtain and inspect of At 211 radionuclide through fusion reaction. Cross-sections for fusion reaction have been calculated with different interaction combinations and excitations for F 19 + Os 192 and O 18 + Ir 193 reactions. All calculations have been performed on NRV Knowledge Base, CCFULL code, and Wong's Formula. Firstly, we assigned reaction parameter values taking into account the compatibility with the experimental data F 19 + Os 192 reaction. Afterward, to enrich studies on At 211 radionuclide, we proposed O 18 +Ir 193 reaction which did not have experimental data in the literature with the method and parameter values we determined. We examined the effects of phonon excitations in projectile and target nuclei on fusion cross sections and barrier distributions. With our research, we showed that the coupled channel model and the calculation codes used to explain the fusion cross-section data and barrier distributions well. This research sheds light on the importance of analyzing important medical radionuclides such as At 211 by heavy-ion fusion reactions and encourages new researches.

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