Pauli blocking effects in 
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-induced fusion reactions

Cheng, Kaixuan; Xu, Chang

doi:10.1103/physrevc.99.014607

Cited by 14 publications

(7 citation statements)

References 58 publications

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“…For instance, it is shown that the incorporation of Pauli blocking properly with the DF model can achieve by taking into account the redefinition of the density matrices of the free isolated nuclei [33]. Microscopically, from the standard M3Y potential developed with the density-dependent Pauli blocking potential of the density overlap of two colliding nuclei and consequent appearance some shallow pockets in α-core potentials of α+ 208 Pb, α+ 197 Au, α+ 209 Bi, and α+ 238 U, their originated fusion cross-sections were consistent with the experimental data [36]. Also, the simultaneous cross-section studies based on the experimental evidence for the reactions 12 C + 12 C, 12 C + 16 O, and 16 O + 16 O proposed a soft Gaussian repulsive core to the Woods-Saxon potential [37].…”

Section: Introductionsupporting

confidence: 73%

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Influence of the Pauli exclusion principle on the alpha decay

Amiri,

Ghodsi

2022

Preprint

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In this study, the effects of repulsive nucleon-nucleon interactions arising from the Pauli exclusion principle were examined regarding the half-lives of heavy even-even nuclei with 84 ≤ Z ≤ 92. The Pauli exclusion principle is applied to our investigations by renormalizing the nucleon-nucleon interactions according to the Bohr-Sommerfeld quantization condition. It is also applied to the double-folding (DF ) formalism as a modification term by investigating the kinetic energy variation at the overlapping regions between the densities of the alpha and daughter nuclei. The standard deviation for the calculated half-lives from their corresponded experimental data is 0.340 for the renormalized DF formalism. Its value reduces to 0.309 for the DF formalism modified with the kinetic energy contribution estimated by the extended Thomas-Fermi approach. The calculated α decay half-lives are more consistent with experimental data if the kinetic energy contribution is being associated with the DF formalism.

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Section: Introductionsupporting

confidence: 73%

“…On the other hand, such an additional repulsive force increases the kinetic energy of the total interaction [36,38]. Therefore, the desired modifications can be investigated by estimating the variation of the kinetic energy in the dinuclear system.…”

Section: Introductionmentioning

confidence: 99%

Influence of the Pauli exclusion principle on the alpha decay

Amiri,

Ghodsi

2022

Preprint

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“…Recently, inspired by the non-localized cluster model, the quartetting wave function approach and the quartet model [91][92][93][94][95][96][97] are proposed to study α clustering in heavy nuclei such as 212 Po. It is tempted to study the nuclear reactions of medium-mass and heavy nuclei in a similar approach [98][99][100].…”

Section: Discussionmentioning

confidence: 99%

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Bai

Ren

2020

Phys. Rev. C

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The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this work, we extend the application scope of the non-localized cluster model further to resonant and scattering states. Following the R-matrix theory, the configuration space is divided into the interior and exterior regions by a large channel radius such that the nuclear forces and the antisymmetrization effects become negligible between clusters in the exterior region. In the interior region, the picture of non-localized clustering is realized mathematically by adopting the Brink-Tohsaki-Horiuchi-Schuck-Röpke (Brink-THSR) wave functions as the bases to construct the interior wave functions. The Bloch-Schrödinger equation is used to match the interior wave functions continuously with the asymptotic boundary conditions of the resonant and scattering states at the channel radius, which leads eventually to solutions of the problem. As a first test of the formalism, the low-lying resonant states of 8 Be and the phase shifts of the α + α elastic scattering are studied. The numerical results agree well with the experimental data, which shows the validity of the theoretical framework. *

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“…A shallow pocket is formed in the inner part of the total potential between two colliding nuclei and the experimental fusion cross sections at deep sub-barrier energies are described well [29,30]. In recent studies [31][32][33], the radioactive decay in heavy nuclei, as a reverse quantum tunneling process with fusion, was successfully carried out using microscopic calculations. The Pauli blocking effect from the density overlap of the cluster and daughter nucleus was introduced and successfully applied to the radioactive decay, Po Pb + .…”

Section: Introductionmentioning

confidence: 98%

Pauli blocking potential applied to heavy-ion fusion reactions *

Cheng¹,

Xu²,

Ma³

et al. 2022

Chinese Phys. C

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In this study, the Pauli blocking potential between two colliding nuclei in the density overlapping region is applied to describe the heavy nuclei fusion process. Inspired by the Pauli blocking effect in the -decay of heavy nuclei, the Pauli blocking potential of single nucleon from the surrounding matter is obtained. In fusion reactions with strong density overlap, the Pauli blocking potential between the projectile and target can be constructed using a single folding model. By considering this potential, the double folding model with a new parameter set is employed to analyze the fusion processes of 95 systems. A wider Coulomb barrier and shallower potential pocket are formed in the inner part of the potential between the two colliding nuclei, compared to that calculated using the Akyüz-Winther potential. The fusion hindrance phenomena at deep sub-barrier energies are described well for fusion systems O + Pb and Ni + Ni.

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Pauli blocking effects in α -induced fusion reactions

Cited by 14 publications

References 58 publications

Influence of the Pauli exclusion principle on the alpha decay

Influence of the Pauli exclusion principle on the alpha decay

Resonant and scattering states in the α+α system from the nonlocalized cluster model

Pauli blocking potential applied to heavy-ion fusion reactions *

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