Fusion cross section for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Si</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>28</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>+<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mprescripts /><mm

Nagashima, Y.; Lee, S. M.; Satô, Masataka; Schimizu, J.; Nakagawa, T.; Fukuchi, Y.; Furuno, K.; Yamanouchi, M.; Mikumo, Takeshi

doi:10.1103/physrevc.26.2661

Cited by 13 publications

(7 citation statements)

References 11 publications

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“…In many cases, this process can be well described in terms of the compound nucleus framework, which assumes that the excited composite nucleus formed in the fusion reaction lives long enough for the thermodynamic equilibrium to be established. In many cases, however, entrance channel effects can be significant, and an idealized picture of a compound nucleus, which is not expected to retain memory of how it was formed, is clearly not appropriate [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Cluster formation in precompound nuclei in the time-dependent framework

Schuetrumpf

Nazarewicz

2017

Phys. Rev. C

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Background: Modern applications of nuclear time-dependent density functional theory (TDDFT) are often capable of providing quantitative description of heavy ion reactions. However, the structure of pre-compound (pre-equilibrium, pre-fission) states produced in heavy ion reactions are difficult to assess theoretically in TDDFT as the single-particle density alone is a weak indicator of shell structure and cluster states.Purpose: We employ the time-dependent nucleon localization function (NLF) to reveal the structure of precompound states in nuclear reactions involving light and medium-mass ions. We primarily focus on spin saturated systems with N = Z. Furthermore, we study reactions with oxygen and carbon ions, for which some experimental evidence for α clustering in pre-compound states exists. O + 12 C, we showed that the pre-compound system has a tendency to form α clusters. This result supports the experimental findings that the presence of cluster structures in the projectile and target nuclei gives rise to strong entrance channel effects and enhanced α emission. Conclusion:The time-dependent nucleon localization measure is a very good indicator of clusters structures in complex pre-compound states formed in heavy-ion fusion reactions. The localization reveals the presence of collective vibrations involving cluster structures, which dominate the initial dynamics of the fusing system.

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Section: Introductionmentioning

confidence: 99%

Cluster formation in precompound nuclei in the time-dependent framework

Schuetrumpf

Nazarewicz

2017

Phys. Rev. C

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“…In this context the 12 Existing data for this system [15], and for the nearby 12 C+ 28 Si [16,17], extended down to ∼ 200 mb, too far from the range in which the hindrance could start to play a role. Moreover, these data exhibit large error bars.…”

Section: Fusion Hindrance and S Factormentioning

confidence: 99%

Fusion hindrance for a positiveQ-value system

et al. 2008

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Abstract. The fusion excitation function for the positive-Q-value system 12 C+ 30 Si (Q fus = +14.1 MeV) has been measured in inverse kinematics down to the µb level and compared with standard coupled-channel calculations. The appearance of the fusion hindrance phenomenon and the evidence of a S-factor maximum have been observed. This result can be significant to extrapolate the behavior of lighter astrophysical relevant systems at deep sub-barrier energies, where existing experimental data are still contradicting and affected by large errors.

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“…O + 16 O, from[45] for16 O + 28 Si, and from[46] for28 Si + 28 Si. Digits next to lines with symbols indicate the values…”

mentioning

confidence: 99%

Quantitative analysis of precise heavy-ion fusion data at above-barrier energies using Skyrme-Hartree-Fock nuclear densities

2014

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We calculate the capture (fusion) cross sections for nine reactions involving spherical nuclei: 16 O + 16 O, 28 Si, 92 Zr, 144 Sm, 208 Pb; 28 Si + 28 Si, 92 Zr, 208 Pb; 32 S + 208 Pb. For six of them precision data are available in the literature. Analysis of these precision data within the framework of the single-barrier penetration model based on the Woods-Saxon profile for the strong nucleus-nucleus interaction potential (SnnP) gave rise to the problem of the apparently large diffuseness of the SnnP [Newton et al., Phys. Rev. C 70, 024605 (2004)]. Our fluctuation-dissipation trajectory model is based on the double-folding approach with the density-dependent M3Y NN forces including the finite-range exchange part. For the nuclear matter density the Skyrme-Hartree-Fock approach including the tensor interaction is applied. The resulting nucleus-nucleus potential possesses rather small (normal) diffuseness. The strength of the radial friction K R is used as the free parameter of the model. It turns out that for four of the five reactions induced by 16 O (except 16 O + 208 Pb) the calculated cross sections cannot be brought into agreement with the data within the experimental errors. This suggests that the calculated nuclear density is incorrect for 16 O. For the reactions not involving 16 O and, surprisingly, for the 16 O + 208 Pb reaction the agreement with the data within 2-5% is achieved at K R = 1.2 × 10 −2 to 3.0 × 10 −2 MeV −1 zs which is in accord with the previous works.

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Fusion cross section forSi28+C

Cited by 13 publications

References 11 publications

Cluster formation in precompound nuclei in the time-dependent framework

Cluster formation in precompound nuclei in the time-dependent framework

Fusion hindrance for a positiveQ-value system

Quantitative analysis of precise heavy-ion fusion data at above-barrier energies using Skyrme-Hartree-Fock nuclear densities

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