Study of Local Inter-Nucleus Potential on the Basis of the Resonating Group Method. II: Calculational Procedure and Study of the Systems of 0s-Shell-Nucleus + 16O

Aoki, Kai; Horiuchi, Hisashi

doi:10.1143/ptp.68.2028

Cited by 38 publications

(2 citation statements)

References 7 publications

(10 reference statements)

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“…In the double folding model, the exchange effect has been conventionally taken into account only through the knock-on exchange term. This is reasonable for peripheral collisions, since the knock-on exchange has the longest range among other exchange terms [20]. However, it is not obvious at all whether other exchange terms are negligible when the potential in the inner region plays a role, such as in rainbow scattering or in fusion reactions.…”

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No-recoil approximation to the knock-on exchange potential in the double folding model for heavy-ion collisions

2006

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We propose the no-recoil approximation, which is valid for heavy systems, for a double folding nucleus-nucleus potential. With this approximation, the non-local knock-on exchange contribution becomes a local form. We discuss the applicability of this approximation for the elastic scattering of 6 Li + 40 Ca system. We find that, for this system and heavier, the no-recoil approximation works as good as another widely used local approximation which employs a local plane wave for the relative motion between the colliding nuclei. We also compare the results of the no-recoil calculations with those of the zero-range approximation often used to handle the knock-on exchange effect.PACS numbers: 25.70.Bc, The double folding model has been widely used to describe the real part of optical potential for heavy-ion collisions [1,2,3]. The direct part of the double folding potential is constructed by convoluting an effective nucleonnucleon interaction with the ground state density distributions of the projectile and target nuclei. In the double folding model, the exchange contribution originating from the antisymmetrization of the total wave function of the system is customarily taken into account simply through the single nucleon knock-on exchange term. The exchange term leads to a non-local potential. Since it is cumbersome to handle the resultant integro-differential equation, a local approximation has usually been employed. In the past, many calculations have been performed along this line by introducing a pseudo zero-range nucleon-nucleon interaction to mock up the knock-on exchange effect [1,2,4]. The strength of the pseudo interaction has been tuned so as to reproduce exact results of the integro-differential equation for proton scattering from various target nuclei at several incident energies [4]. This approach, in conjunction with the (density dependent) Michigan-three-range Yukawa (M3Y) interaction [5,6], has successfully accounted for observed elastic and inelastic scattering for many colliding systems [1,2].Recently, a more consistent treatment for the exchange term has also been considered [3,7,8,9,10]. This approach obtains a local potential by employing a local approximation to the momentum operator (local momentum approximation) [11,12]. Since the local momentum depends explicitly on the potential itself, there arises the self-consistency problem, which however can be solved iteratively. Since the exchange potential is directly constructed from a given nucleon-nucleon interaction of finite range, this approach is more favorable than the zero range approximation. In fact, the finite range treatment for the exchange term has enjoyed a success in reproducing the experimental angular distributions for light heavy-ion scattering where the zero range approximation fails [7,8,13].Despite its success, however, there is a potential difficulty in this approach. That is, the iterative procedure for the self-consistent problem may not work in the classically forbidden region, where the local momentum is imaginary. Althoug...

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No-recoil approximation to the knock-on exchange potential in the double folding model for heavy-ion collisions

2006

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“…It is obvious that if this approach could be extented to heavier nuclei then one would hope to develope a semimicroscopic description of the OMP, which would correspond more closely to the actual interaction, but with much less efforts. In this work we shall turn our attention to proton-nucleus scattering and in particular to p-^O for which the kernel of the real non-local interaction is well known (5). In addition two important and experimentally determinable quantities which are of interest for an optical model analysis the differential cross-sections and the reaction cross-sections are also known.…”

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Dispersive Correction to the p+16 0 Optical Montel Potential

Pantis¹

2019

hnps

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The optical model potential to p+16 0 scattering is derived by taking into account the polarization potential induced by the energy dispersion relation. The real part of the potential is derived by the RGM-method with the Volkov or Minnesota potential as a basis for the n-n force. It is shown that the polarization potential effects an adjustment of the parameters of the n-n force due to the constraints imposed by the energy dispersion relation.

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Microscopic Cluster Models

Descouvemont

Dufour

2012

Clusters in Nuclei, Vol.2

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Study of Local Inter-Nucleus Potential on the Basis of the Resonating Group Method. II: Calculational Procedure and Study of the Systems of 0s-Shell-Nucleus + 16O

Cited by 38 publications

References 7 publications

No-recoil approximation to the knock-on exchange potential in the double folding model for heavy-ion collisions

No-recoil approximation to the knock-on exchange potential in the double folding model for heavy-ion collisions

Dispersive Correction to the p+16 0 Optical Montel Potential

Microscopic Cluster Models

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