Report
Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle
| العنوان: | Two-center harmonic oscillator basis for Skyrme-DFT calculations (I): formalism and Proof of Principle |
|---|---|
| المؤلفون: | Sánchez-Fernández, Adrián, Dobaczewski, Jacek, Sun, Xuwei, Wibowo, Herlik |
| سنة النشر: | 2024 |
| المجموعة: | Nuclear Theory |
| مصطلحات موضوعية: | Nuclear Theory |
| الوصف: | We present a new method to solve the nuclear density functional theory (DFT) equations using a two-center harmonic oscillator basis, incorporating pairing and Coulomb interactions. The goal is to efficiently determine the fission and fusion configurations in nuclei. The Coulomb exchange terms are evaluated exactly, allowing for a novel approach to neck formation without the Slater approximation, which has been commonly used in space coordinate-based approaches. The new method has been implemented in the code {\sc hfodd}, enabling direct comparison with standard one-center solutions. This first paper focuses on deriving and implementing a methodology based on stable, precise, and exact applications of harmonic oscillator bases for the two fragments, which can either overlap or be separated by arbitrarily large distances. The implementation is tested on two proof-of-principle examples using light nuclei, specifically $^8$Be and $^{24}$Mg. Comment: Added new reference pertaining CDFT (now ref [24]), two-center shell model (now ref [14,15] and [18]). Updated reference from arXiv to PRC (ref [24]). Modified paragraphs 7th and 8th of the introductory section. Added more references |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.12545 |
| رقم الانضمام: | edsarx.2406.12545 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |