Resonant and scattering states are calculated in the framework of nuclear many-body physics with microscopic interactions. A collective-coordinate representation is developed in order to express the boundary conditions for the asymptotic behaviour of the relative distance between the fragments. The boundary conditions are implemented in the Schrödinger many-body equation resulting in a modified eigenvalue problem. The advantage of this method is that it does not require the separation of the relative motion in the many-body states. 8Be and 5He are chosen as sample cases. Elastic scattering phase-shifts and resonance parameters in the low energy regime are calculated. The validity of the method is confirmed by comparison to other approaches that use phenomenological interactions. Finally, the first results in Fermionic Molecular Dynamics with a realistic interaction are presented.
| Item Type: |
Ph.D. Thesis
|
| Erschienen: |
2005 |
| Creators: |
Cribeiro Santalla, Alberto |
| Type of entry: |
Primary publication |
| Title: |
Nuclear many-body Continuum States and their Boundary Conditions in a Collective-Coordinate Representation |
| Language: |
English |
| Referees: |
Feldmeier, Prof. Dr. Hans ; Roth, Prof. Dr. Robert ; Langanke, Prof. Dr. Karlheinz |
| Advisors: |
Feldmeier, Prof. Dr. Hans |
| Date: |
21 September 2005 |
| Place of Publication: |
Darmstadt |
| Publisher: |
Technische Universität |
| Refereed: |
11 July 2005 |
| URL / URN: |
urn:nbn:de:tuda-tuprints-6064 |
| Abstract: |
Resonant and scattering states are calculated in the framework of nuclear many-body physics with microscopic interactions. A collective-coordinate representation is developed in order to express the boundary conditions for the asymptotic behaviour of the relative distance between the fragments. The boundary conditions are implemented in the Schrödinger many-body equation resulting in a modified eigenvalue problem. The advantage of this method is that it does not require the separation of the relative motion in the many-body states. 8Be and 5He are chosen as sample cases. Elastic scattering phase-shifts and resonance parameters in the low energy regime are calculated. The validity of the method is confirmed by comparison to other approaches that use phenomenological interactions. Finally, the first results in Fermionic Molecular Dynamics with a realistic interaction are presented. |
| Alternative Abstract: |
| Alternative abstract | Language |
|---|
Resonanz- und Streuzuständen werden im Rahmen der Vielteilchen-Kernphysik mit mikroskopischen Wechselwirkungen berechnet. Eine kollektive Koordinatendarstellung wird entwickelt, damit die Randbedingungen des asymptotischen Verhältnis in der Relativbewegung zwischen den Fragmenten formuliert werden können. Die Randbedingungen werden in die Vielteilchen-Schrödingergleichung implementiert, wodurch ein modifiziertes Eigenwertproblem entsteht. Der Vorteil der vorgeschlagenen Methode ist, dass sie keine exakte Faktorisierung von Relativanteil der Vielteilchenzustände erfordert. 8Be und 5He werden als Beispiel ausgewält. Streuphasen elastischer Streuung und Resonanzparametern werden im niederenergetischen Regime berechnet. Die Gültigkeit der Methode ist im Vergleich mit anderen Methoden, die phänomenologische Wechselwirkungen benutzen, bestätigt. Schliesslich werden die erste Ergebnisse in Fermionischer Molekulardynamik mit einer realistischen Wechselwirkung dargestellt. | German |
|
| Uncontrolled Keywords: |
Streuphase, Multikonfigurationsmischung, Kontinuumzustand, kollektive Koordinatendarstellung |
| Alternative keywords: |
| Alternative keywords | Language |
|---|
| Continuum states, resonance, phase shift, nuclear structure, collective-coordinate representation, boundary conditions, many-body system, multiconfiguration mixing, asymptotic behaviour | English |
|
| Divisions: |
05 Department of Physics |
| Date Deposited: |
17 Oct 2008 09:22 |
| Last Modified: |
05 Mar 2013 09:26 |
| PPN: |
|
| Referees: |
Feldmeier, Prof. Dr. Hans ; Roth, Prof. Dr. Robert ; Langanke, Prof. Dr. Karlheinz |
| Refereed / Verteidigung / mdl. Prüfung: |
11 July 2005 |
| Alternative keywords: |
| Alternative keywords | Language |
|---|
| Continuum states, resonance, phase shift, nuclear structure, collective-coordinate representation, boundary conditions, many-body system, multiconfiguration mixing, asymptotic behaviour | English |
|
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