Gama-kararsız Bölgede Kratzer Potansiyeli İçeren Bohr Hamiltoniyeninin Analitik Çözümü

Year 2023, Volume: 2 Issue: 1, 1 - 6, 30.06.2023

Yılmaz Hassan Mustafa Mustafa

Abstract

Bu çalışmada, gama-kararsız bölge için Kratzer potensiyeli içeren Kollektif Bohr Hamiltoniyeni’nin analitik çözümleri, ilk defa Nikiforov-Uvarov metodu kullanılarak yapılmıştır. Enerji özdeğer denklemi kapalı formda elde edilmiş ve 102-116Pd izotoplarının deneysel enerji değerlerini tahmin etmek için uygulanmıştır. Deney ve teori arasında iyi bir uyum olduğu görülmüştür.

Keywords

Kollektif model, Gama-kararsız bölge, Çift-çift çekirdekler, Kratzer potansiyeli

Analytical Solution of the Bohr Hamiltonian with the Kratzer Potential in Gamma-unstable Region

Abstract

In this study, the analytical solution of the Collective Bohr Hamiltonian with the Kratzer potential for the gamma-unstable region has been done for the first time by using the Nikiforov-Uvarov method. The energy eigenvalue equation was obtained in a closed form and applied to predict the experimental energy data of 102-116Pd isotopes. It was seen a good agreement between theory and experiment.

Keywords

Collective model, Gamma-unstable region, Even-even nuclei, Kratzer potential

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