How the Pauli exclusion principle affects fusion of atomic nuclei

Simenel, C.; Umar, A. S.; Godbey, K.; Dasgupta, M.; Hinde, David

doi:10.1103/physrevc.95.031601

Cited by 106 publications

(116 citation statements)

References 66 publications

(117 reference statements)

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“…This is prominent in the region of [11][12][13][14][15][16] • , and it indicates the contribution of a third evaporation mode to the overall distribution. Analysis of the PACE4 output data suggests that this third component arises from the emission of two alpha particles [24].…”

Section: Deduced Angular Distributionmentioning

confidence: 94%

“…In order to accommodate this inconsistency, a number of explanations have been put forward, including effects of energy dissipation both below and above the barrier [10], and the damping of quantum vibrations as the single-particle wavefunctions of the two nuclei mix [11]. The role of the incompressibility of nuclear matter has also been explored [12], while more recently, a microscopic approach to include the effects of Pauli repulsion has also been developed [13]. As modifications to the existing thee-mail: lauren.bezzina@anu.edu.au ory are suggested and new models of fusion arise, verification of these theories via experimental measurements will be required.…”

Section: Introductionmentioning

confidence: 99%

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Determination of Precision Fusion Cross Sections Using a High Efficiency Superconducting Solenoidal Separator

et al. 2017

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Abstract. A novel fusion product separator based on a gas-filled superconducting solenoid has been developed at the Australian National University. Though the transmission efficiency of the solenoid is very high, precision cross sections measurements require this efficiency to be estimated accurately. A Monte Carlo simulation for the efficiency can be performed, but in turn requires knowledge of the angular distribution of the evaporation residues. We have developed a method to deduce the angular distribution of the evaporation residues from the laboratory-frame velocity distribution σ exp (v l ) of the evaporation residues measured after the solenoid. The method will be discussed, focussing on the example of 34 S+ 89 Y, where the angular distribution has been independently measured using a velocity filter [1]. The establishment of this method now allows the novel solenoidal separator to be used to obtain the most reliable, precision fusion cross-sections.

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Section: Deduced Angular Distributionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Determination of Precision Fusion Cross Sections Using a High Efficiency Superconducting Solenoidal Separator

et al. 2017

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“…[29] showed that isovector terms (central and spin-orbit) were significant for density-constrained time-dependent Hartree-Fock (DC-TDHF) calculations of the nucleus-nucleus potential of the 40 Ca + 132 Sn system. As a preliminary study, frozen Hartree-Fock (FHF) [30][31][32][33] was used with the SQMC parameterisation for the same system. FHF calculations provide the bare nucleusnucleus potential from the Hartree-Fock ground-states, with no polarisation effects from dynamics.…”

Section: Fusionmentioning

confidence: 99%

Reactions of exotic nuclei with the quark-meson coupling model

et al. 2017

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Abstract. The nucleon-nucleon interaction is an important requirement for investigations of nuclear structure and reactions, as well as for astrophysical models such as r-process nucleosynthesis and neutron stars. The traditional approach to low-energy nuclear physics is to treat nucleons as immutable objects interacting via phenomenological forces. The use of phenomenological interactions, rather than one derived from a microscopic theory, raises questions as to the reliability of predictions for exotic regions of the nuclear chart. The quark-meson coupling (QMC) model uses a relativistic mean-field approach to provide a microscopically derived nucleon-nucleon interaction, which takes into account the quark structure of the nucleon. The Skyrme energy density functional is a popular phenomenological tool in studies of nuclear structure and reactions. In this work, the QMC density functional was used to produce a set of Skyrme parameterisations, in the hopes that they will give more reliable predictions for exotic nuclei. In conjunction with Hartree-FockBogoliubov (HFB) calculations, the Skyrme-QMC (SQMC) parameterisations have been used to model the ground-state properties of individual nuclei and nucleus-nucleus potentials for Ca + Sn reactions. The SQMC parameterisation performs with an accuracy comparable to modern phenomenological functionals. From this, one can investigate the importance of the isovector terms of the nucleon-nucleon interaction, which are particularly significant for exotic, neutron-rich regions of the nuclear chart. One of the notable successes of the QMC model is its derivation of nuclear spin-orbit coupling. The isovector dependence of the spin-orbit equation of state is remarkably similar to that of the modern UNEDF1 phenomenological density functional. HFB calculations along the Sn isotopic chain reveal that the isovector properties of the spin-orbit term impact binding energies to a level that will be significant for astrophysical r-process modelling.

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“…The study of fusion cross sections both above and below the barrier has been performed for many systems using a * kyle.s.godbey@vanderbilt.edu † luguo@ucas.ac.cn ‡ umar@compsci.cas.vanderbilt.edu number of distinct techniques, though most approaches ultimately require a heavy-ion interaction potential as the starting point [6]. How one obtains such a potential is also varied, though two main classes can be roughly identified: phenomenological models [7][8][9][10][11][12][13][14][15][16] and (semi-)microscopic models [17][18][19][20][21][22][23][24][25][26]. Within each class there are myriad methods and assumptions, so we focus on the (semi-)microscopic class of methods which are more germane to the current work.…”

Section: Introductionmentioning

confidence: 99%

Influence of the tensor interaction on heavy-ion fusion cross sections

2019

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Background: While the tensor interaction has been shown to significantly affect the nuclear structure of exotic nuclei, its influence on nuclear reactions has only recently been investigated. The primary reason for this neglect is the fact that most studies of nuclear dynamics do not include the tensor force at all in their models. Indeed, only a few Skyrme parametrizations consider the tensor interaction in parameter determination. With modern research facilities extending our ability to probe exotic nuclei, a correct description of nuclear dynamics and heavy-ion fusion is vital to both supporting and leading experimental efforts. Purpose: To investigate the effect of the tensor interaction on fusion cross sections for a variety of nuclear reactions spanning light and heavy nuclei. Method: Fusion cross sections are calculated using ion-ion potentials generated by the fully microscopic density-constrained time-dependent Hartree-Fock (DC-TDHF) method with the complete Skyrme tensor interaction. Results: For light nuclei, the tensor force only slightly changes the sub-barrier fusion cross sections at very low energies. Heavier nuclei, however, begin to exhibit a substantial hindrance effect in the sub-barrier region. This effect is strongest in spin-unsaturated systems, though can manifest in other configurations as well. Static, ground state deformation effects of the tensor force can also affect cross sections by shifting the fusion barrier. Conclusions: The tensor interaction has a measurable effect on the fusion cross sections of nuclei spanning the nuclear chart. The effect comes from both static effects present in the ground state and dynamic processes arising from the time evolution of the system. This motivates the development of a modern Skyrme parameter set that includes all time-odd and tensor terms and that studies moving forward should include the tensor force to ensure a more robust and complete description of nuclei.

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How the Pauli exclusion principle affects fusion of atomic nuclei

Cited by 106 publications

References 66 publications

Determination of Precision Fusion Cross Sections Using a High Efficiency Superconducting Solenoidal Separator

Determination of Precision Fusion Cross Sections Using a High Efficiency Superconducting Solenoidal Separator

Reactions of exotic nuclei with the quark-meson coupling model

Influence of the tensor interaction on heavy-ion fusion cross sections

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