16O+12C Esnek Saçılmasının Optik Model Analizleri için Fenomenolojik Nükleer Potansiyel Şekilleri

Abstract

¹⁶O+¹²C esnek saçılmasının optik model analizleri, farklı fenomenolojik potansiyel formları kullanılarak E_LAB=62, 75, 80, 94.8, 100, 115.9 ve 124 MeV gelme enerjileri için çalışıldı. Optik potansiyelin inşasında, deneysel veriler ile teorik hesaplamalar arasında belirli bir düzeyde uyum sağlanmasına imkân verebilecek karmaşık nükleer potansiyel formları denendi. İlgili nükleer potansiyellerin yapısı; derin, çekici, WS2 (Woods-Saxon kare) formunda gerçel bir kısım ile nispeten sığ, soğurucu sanal kısımlardan oluşturuldu. Bu çalışmada araştırılan sanal potansiyeller; WS_H (Woods-Saxon hacim), WS2_H, WS_H+ WSD_Y (Woods-Saxon Diferansiyel yüzey) ve WS2_H+WSD_Y olmak üzere 4 farklı formda seçildi. WS_H+WSD_Y tipi ve WS2_H+WSD_Y tipindeki sanal potansiyeller kullanılarak yapılan analizlerin benzer sonuçlar ürettiği ve ¹⁶O+¹²C sistemine ait tesir-kesiti ölçümlerini açıklamada, diğer fenomenolojik potansiyel formlarına göre daha başarılı olduğu bulundu. Teorik analizler ile deneysel veriler arasındaki uyum χ² hata hesabı ile belirlendi.

Keywords

• Elastik saçılma,Optik model,Tesir-kesiti

Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering

Abstract

Optical model analyses of the ¹⁶O+¹²C elastic scattering at the incident energies E_LAB=62, 75, 80, 94.8, 100, 115.9 and 124 MeV were performed by using different phenomenological potential forms. Possible complex nuclear potential forms, which would provide a certain degree of agreement between the experimental data and the theoretical calculations, were examined in the construction of the optical potential. The structure of the considered nuclear potentials consisted of a deep, attractive, WS2 (Woods-Saxon square) type real part and relatively shallow, absorptive imaginary parts. The imaginary potential shapes investigated in this study were chosen in four different forms; WS_V (Woods-Saxon volume), WS2_V, WS_V+ WSD_S (Woods-Saxon Differential surface) and WS2_V+WSD_S. It was found that, the analyses with the potentials having WS_V+WSD_S type and WS2_V+WSD_S type imaginary parts produced similar results that explained the differential cross-section measurements of the ¹⁶O+¹²C system better than the other phenomenological potential forms. The agreement between the theoretical analyses and the experimental data was determined by using usual χ² criterion. 

Keywords

• Elastic scattering,Optical model,Cross-section

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