Kinetic energy contributions to heavy ion potentials

Zint, P. G.; Mosel, U.

doi:10.1016/0370-2693(75)90402-5

Cited by 22 publications

(13 citation statements)

References 3 publications

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“…This argument is based on the assumption that nuclei do not necessarily probe the inner part of the fusion barrier. However, at energies well above the barrier, the system could reach more compact shapes where one cannot neglect the effect of the Pauli principle anymore, as was shown by several authors in the 1970's [5][6][7][8][9]. Similarly, for deep subbarrier energies the inner turning-point of the fusion barrier entails significant overlap between the two nuclei [10,11].…”

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confidence: 93%

How the Pauli exclusion principle affects fusion of atomic nuclei

et al. 2017

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The Pauli exclusion principle induces a repulsion between composite systems of identical fermions such as colliding atomic nuclei. Our goal is to study how heavy-ion fusion is impacted by this "Pauli repulsion". We propose a new microscopic approach, the density-constrained frozen Hartree-Fock method, to compute the bare potential including the Pauli exclusion principle exactly. Pauli repulsion is shown to be important inside the barrier radius and increases with the charge product of the nuclei. Its main effect is to reduce tunnelling probability. Pauli repulsion is part of the solution to the long-standing deep sub-barrier fusion hindrance problem.Comment: 5 pages, 1 figur

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confidence: 93%

How the Pauli exclusion principle affects fusion of atomic nuclei

et al. 2017

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“…This shallowness is a general feature of all heavy ion potentials calculated in this paper. It is due to the Pauli-principle which-with increasing overlap of the ions-tends to increase the single particle kinetic energies in the two nuclei [20]. This effect which counteracts the attraction between nucleons of different ions to a large extent can be easily understood, e.g., in terms of the Thomas-Fermi model where a density increase also pushes the Fermi-surface up.…”

Section: Comparison With Experimentsmentioning

confidence: 97%

Optical potentials for elastic heavy ion scattering

Göritz

Mosel

1976

Z Physik A

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The real part of the optical potential is calculated in a microscopic model for the reactions 4He-4He, 160--160 and 4~176 at several scattering energies. The two scattering partners are represented by ground state wave functions of an oscillator shell model localized at a given separation distance. The relative motion of the nuclei is approximated by a plane wave. For the nucleon-nucleon interaction we use the Skyrme force. The dependence of the optical potential on the scattering energy is investigated, both in the sudden and in the adiabatic approximation.

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“…(similar for the other densities) the antisymmetrization with respect to the densities [29] is neglected. Various authors [10,29,30] studied this effect and found a strong dependence of the optical potential on the density antisymmetrization. If one wants to investigate the total effect of antisymmetry one has to calculate the energy functional H[p, z,j 2] without antisymmetrization of the matrix elements of the Skyrme force [29].…”

Section: This Equation Provides K=k(r Es) or Ek=ek(r Es)mentioning

confidence: 98%

“…are calculated without antisymmetrization of the densities (dashed curves) and without any antisymmetry effect (dashed-dotted). In both latter cases the Pauli contribution to the intrinsic kinetic energy is removed yielding very deep potentials [29,30]. They correspond to folding potentials.…”

Section: Heavy Ion Potentials For 4he 160 and 4~mentioning

confidence: 98%

“…The kinetic energy enters the calculation of the optical potential, as can be seen by formula (1). For small bombarding energies the Pauli principle pushes the occupied levels up, thus increasing the kinetic energy and providing a repulsive contribution to the potential [30]. For higher energies the nuclei become more and more distinguishable.…”

Section: Heavy Ion Potentials For 4he 160 and 4~mentioning

confidence: 98%

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Energy and angular momentum dependence of heavy ion optical potentials

Zint

1977

Z Physik A

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The influence of bombarding energy and angular momentum on the depth and shape of the real part of the optical ion-ion potential is studied in a model which uses oscillator wave functions for the ground states of the interacting nuclei and takes into account the relative motion of the nuclei by a multiplication with a plane wave factor. The calculations were done for ~+c~, 160~-160, 4~176 ~-~-160, ~-4~ and 160+ 4~ with the Skyrme force as interaction.

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Kinetic energy contributions to heavy ion potentials

Cited by 22 publications

References 3 publications

How the Pauli exclusion principle affects fusion of atomic nuclei

How the Pauli exclusion principle affects fusion of atomic nuclei

Optical potentials for elastic heavy ion scattering

Energy and angular momentum dependence of heavy ion optical potentials

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