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Izumoto, T.; Udagawa, T.; Bt, Kim

doi:10.1103/physrevc.51.761

Cited by 12 publications

(3 citation statements)

References 38 publications

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“…Since barrier distributions are proportional to d 2 (Eσ)/dE 2 , very accurate measurements of excitation functions at closely-spaced energies are required. Even with excellent data, smooth barrier distributions can only be obtained under certain model dependent assumptions [7] (i.e. -well-chosen energy spacing for calculating the second derivatives).…”

Section: Introductionmentioning

confidence: 99%

Relations between fusion cross sections and average angular momenta

1996

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We study the relations between moments of fusion cross sections and averages of angular momentum. The role of the centrifugal barrier and the target deformation in determining the effective barrier radius are clarified. A simple method for extracting average angular momentum from fusion cross sections is demonstrated using numerical examples as well as actual data.Comment: 16 REVTeX pages plus 8 included Postscript figures (uses the epsf macro); submitted to Phys. Rev. C; also available at http://nucth.physics.wisc.edu/preprint

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Section: Introductionmentioning

confidence: 99%

Relations between fusion cross sections and average angular momenta

1996

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“…One salient ingredient is a proper description of neck formation. Though there are many pioneering attempts which relate the large enhancement of the fusion cross section to the neck formation (Jahnke et al, 1982;Krappe et al, 1983;Iwamoto and Harada, 1987;Iwamoto and Takigawa, 1989;Aguiar et al, 1988), a microscopic description of fusion reactions in general and neck formation in particular is still at a very primitive stage and needs to be further developed. In connection with the former, we wish to note the computer simulations for sub-barrier fusion reactions by Bonasera and Kondratyev (1994).…”

Section: Open Problems and Outlookmentioning

confidence: 99%

“…Several groups Broglia et al, 1983a;Jacobs and Smilansky, 1983) studied various simplifying limits to emphasize salient physical features. Here we summarize the approach of Dasso et al (1983).…”

Section: B Simplified Coupled-channels Modelsmentioning

confidence: 99%

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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Asymmetric parabolic effective barrier model for heavy ion fusion and its relation to coupled channel effects

Sahu

Shastry

1999

J. Phys. G: Nucl. Part. Phys.

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Using the exact transmission coefficient across an asymmetric parabolic barrier derived by Zafar Ahmed and the ideas used earlier in our effective fusion barrier transmission model we develop a new asymmetric parabolic effective fusion barrier model for heavy ion fusion. A closed form expression for fusion cross section (σ F ) depending only on the s-wave characteristics of the fusion barrier is derived. The expected change of shape of the barrier in the interior side due to channel coupling is represented by a variable curvature parameter ω 2 whereas the outer curvature ω 1 is kept unchanged. We apply this model to fit the fusion data, namely fusion cross section, spin distribution, average angular momenta and barrier distribution, in the cases of the following representative pairs of nuclei at energies around the Coulomb barrier: 16 O + 144 Sm, 16 O + 152 Sm, 40 Ca + 46,48,50 Ti, 58 Ni + 64 Ni and 64 Ni + 92 Zr. These examples include cases of symmetric, asymmetric and nearly symmetric fusion. We obtain good fits to the experimental data. The asymmetry parameter η = ω 2 ω 1 used in the present macroscopic formulation is correlated to the order of coupling in coupled channel calculations.

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Coupled-channels analyses of scattering and fusion cross sections ofO16+

Abstract: Coupled-channels calculations are performed to predict fusion, elastic scattering, and inelastic scattering cross sections for the 0+ ' Sm and 0+ 6W systems at suband near-Coulomb barrier energies, taking into account the lowest rotational states of the target up to I = 8+ explicitly.

Cited by 12 publications

References 38 publications

Relations between fusion cross sections and average angular momenta

Relations between fusion cross sections and average angular momenta

Quantum tunneling in nuclear fusion

Asymmetric parabolic effective barrier model for heavy ion fusion and its relation to coupled channel effects

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