Completeness of the $k$-th nullity foliations

Sekizawa, Masami

doi:10.4310/jdg/1214433600

Cited by 7 publications

(12 citation statements)

References 6 publications

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“…Having this new α-α fish-bone potential from the fitting procedure, they also calculated the first excited state of the three-system. This state is a resonant state, and we got 3 E res α = (0.54 -0.0005i) MeV, which is again very close to the experimental value.…”

Section: Fish-bone Potentialsupporting

confidence: 66%

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Hartree-Fock Calculations of 16O and 40Ca Nuclei Using Fish-Bone Potential

El-Shal¹,

Mansour²,

Taha³

et al. 2014

JAMP

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Hartree-Fock calculations are carried out to describe some properties of 16 O and 40 Ca nuclei using the two forms of fish-bone potential (I and II). A computer simulation search program has been introduced to solve this problem. The Hilbert space was restricted to three dimensional variational space spanned by single spherical harmonic oscillator orbits. Binding energies, root mean square radii and form factors are found to have a good fit with experimental data.

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Section: Fish-bone Potentialsupporting

confidence: 66%

“…The Hartree-Fock (HF) theory [1]- [3] and more elaborate self-consistent theories [4] [5] have been widely and successfully applied to investigate various properties of nuclear structure. Also the problem of cluster structure in nuclei has been a subject of interest since the early days of nuclear physics till now [6].…”

Section: Introductionmentioning

confidence: 99%

Hartree-Fock Calculations of 16O and 40Ca Nuclei Using Fish-Bone Potential

El-Shal¹,

Mansour²,

Taha³

et al. 2014

JAMP

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“…This fact may indicate significance of correlation effects which are not included in the framework of the TDHF theory. A more detail investigation will be presented in the forthcoming paper [8].…”

Section: Resultsmentioning

confidence: 99%

“…We have extended the particle number projection technique to calculate an expectation value of an arbitrary operator, using the particle number projected wave function [8]. The energy expectation value of the PLF composed of n neutrons and z protons is given by…”

Section: Excitation Energies Of Produced Fragmentsmentioning

confidence: 99%

“…In the present article, we will show an outline of our recent attempt to evaluate effects of particle evaporation processes on the production cross sections based on the TDHF theory [8]. To estimate how many nucleons are to be evaporated from the produced fragment, we need to calculate excitation energy of the fragment in each transfer channel.…”

Section: Introductionmentioning

confidence: 99%

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Time-dependent Hartree-Fock calculations for multi-nucleon transfer processes: Effects of particle evaporation on production cross sections

Sekizawa

Yabana

2015

EPJ Web of Conferences

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Abstract. We present a microscopic calculation of multi-nucleon transfer reactions employing the timedependent Hartree-Fock (TDHF) theory. In our previous publication [Phys. Rev. C 88, 014614 (2013)], we reported our analysis for the multi-nucleon transfer processes for several systems. Here we discuss effects of particle evaporation processes on the production cross sections. Since particle evaporation processes may not be described adequately by the TDHF calculations, we evaluate them using a statistical model. As an input of the statistical model, excitation energies of the final fragments are necessary. We evaluate them from the TDHF wave function after collisions, extending the particle number projection technique. From the calculation, the particle evaporation effects are found to improve descriptions of the production cross sections. However, the production cross sections are still underestimated for processes where a number of protons are transferred. Possible origins of the discrepancy are discussed.

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Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products

Sekizawa

Yabana

2014

Phys. Rev. C

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Background: The time-dependent Hartree-Fock (TDHF) theory has been successful in describing low-energy heavy ion collisions. Recently, we have shown that multinucleon transfer processes can be reasonably described in the TDHF theory combined with the particle-number projection technique.Purpose: In this work, we propose a theoretical framework to analyze properties of reaction products in TDHF calculations.Methods: TDHF calculation in three-dimensional Cartesian grid representation combined with particle number projection method.Results: We develop a theoretical framework to calculate expectation values of operators in the TDHF wave function after collision with the particle-number projection. To show how our method works in practice, the method is applied to 24 O+ 16 O collisions for two quantities, angular momentum and excitation energy. The analyses revealed following features of the reaction: The nucleon removal proceeds gently, leaving small values of angular momentum and excitation energy in nucleon removed nuclei. Contrarily, nuclei receiving nucleons show expectation values of angular momentum and excitation energy which increase as the incident energy increases. Conclusions:We have developed a formalism to analyze properties of fragment nuclei in the TDHF theory combined with the particle-number projection technique. The method will be useful for microscopic investigations of reaction mechanisms in low-energy heavy ion collisions as well as for evaluating effects of particle evaporation on multinucleon transfer cross sections.

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Completeness of the $k$-th nullity foliations

Cited by 7 publications

References 6 publications

Hartree-Fock Calculations of <sup>16</sup>O and <sup>40</sup>Ca Nuclei Using Fish-Bone Potential

Hartree-Fock Calculations of <sup>16</sup>O and <sup>40</sup>Ca Nuclei Using Fish-Bone Potential

Time-dependent Hartree-Fock calculations for multi-nucleon transfer processes: Effects of particle evaporation on production cross sections

Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products

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Completeness of the $k$-th nullity foliations

Cited by 7 publications

References 6 publications

Hartree-Fock Calculations of &lt;sup&gt;16&lt;/sup&gt;O and &lt;sup&gt;40&lt;/sup&gt;Ca Nuclei Using Fish-Bone Potential

Hartree-Fock Calculations of &lt;sup&gt;16&lt;/sup&gt;O and &lt;sup&gt;40&lt;/sup&gt;Ca Nuclei Using Fish-Bone Potential

Time-dependent Hartree-Fock calculations for multi-nucleon transfer processes: Effects of particle evaporation on production cross sections

Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products

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Product

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Hartree-Fock Calculations of <sup>16</sup>O and <sup>40</sup>Ca Nuclei Using Fish-Bone Potential

Hartree-Fock Calculations of <sup>16</sup>O and <sup>40</sup>Ca Nuclei Using Fish-Bone Potential