Nucleon Densities of Copper Isotopes Calculated by Skyrme and Gogny Models

Abstract

The ground state properties of the nuclei are generally calculated using two different methods, namely Skyrme and Gogny force methods. We have calculated nucleon densities of Copper isotopes by using Hartree-Fock-Skyrme (using Woods-Saxon Potential) (SHF-WS), Hartree-Fock-Skyrme (using Harmonic Oscillator Potential) (SHF-HO), Hartree-Fock-Bogolyubov-Skyrme (HFB-S) and the Hartree-Fock-Bogolyubov-Gogny (HFB-G) methods. In the first two methods, the densities and rms (root mean square) radii for both proton and neutron of copper isotopes were calculated by different Skyrme parameters set. Theoretical calculated charge density was compared with experimental data of Angeli and Marinova to determine the best parameter set for each copper isotope. Then all evaluated nucleon densities via four different methods were compared each other. All methods gave similar results for all copper isotopes.

Keywords

• Hartree-Fock
• Skyrme
• Gogny
• Nucleon Density

Skyrme ve Gogny Modelleriyle Bakır İzotoplarının Yoğunluk Hesabı

Abstract

Çekirdeklerin taban durum özellikleri genellikle Skyrme ve Gogny kuvvet yöntemleri olmak üzere iki farklı yöntem kullanılarak hesaplanır. Hartree-Fock-Skyrme (Woods-Saxon Potansiyelini kullanarak) (SHF-WS), Hartree-Fock-Skyrme (Harmonik Osilatör Potansiyelini kullanarak) (SHF-HO), Hartree-Fock-Bogolyubov-Skyrme (HFB-S) ve Hartree-Fock-Bogolyubov-Gogny (HFB-G) yöntemlerini kullanarak bakır izotoplarının nükleon yoğunluklarını hesapladık. İlk iki yöntemde, bakır izotoplarının hem proton hem de nötron yoğunlukları ve rms (karekök ortalama) yarıçapları, farklı Skyrme parametre seti ile hesaplandı. En iyi parametre setlerini belirlemek için her bir bakır izotopunun teorik olarak hesaplanan yük yoğunluğu Angeli ve Marinova deneysel verileriyle karşılaştırıldı. Sonra dört farklı yöntem ile elde edilen nükleon yoğunlukları birbiriyle karşılaştırılmıştır. Tüm yöntemler, tüm bakır izotopları için benzer sonuçlar verdi.

Keywords

• Hartree-Fock
• Skyrme
• Gogny
• Nükleon Yoğunluğu

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