Yıl 2019, Cilt 14 , Sayı 2, Sayfalar 374 - 383 2019-11-30

Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering
16O+12C Esnek Saçılmasının Optik Model Analizleri için Fenomenolojik Nükleer Potansiyel Şekilleri

Gökhan COF [1] , M. Ertan KURKCUOGLU [2]


Optical model analyses of the 16O+12C elastic scattering at the incident energies ELAB=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; WSV (Woods-Saxon volume), WS2V, WSV+ WSDS (Woods-Saxon Differential surface) and WS2V+WSDS. It was found that, the analyses with the potentials having WSV+WSDS type and WS2V+WSDS 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. 

16O+12C esnek saçılmasının optik model analizleri, farklı fenomenolojik potansiyel formları kullanılarak ELAB=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; WSH (Woods-Saxon hacim), WS2H, WSH+ WSDY (Woods-Saxon Diferansiyel yüzey) ve WS2H+WSDY olmak üzere 4 farklı formda seçildi. WSH+WSDY tipi ve WS2H+WSDY 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.

  • [1] M.E. Brandan and G.R. Satchler, “The interaction between light heavy-ions and what it tells us,” Phys. Rep, 285 (4-5), 143-243, 1997.
  • [2] G.R. Satchler, Introduction to Nuclear Reactions, Palgrave Macmillan UK, London, 1990.
  • [3] G.R. Satchler, Direct Nuclear Reactions, Oxford University Press, New York, 1983.
  • [4] P.E. Hodgson, The Nucleon Optical Model, World Scientific Publishing Co. Pte. Ltd., London, 1994.
  • [5] I. Boztosun, “Systematic investigation of light heavy-ion reactions” Phys. Atom. Nucl., 65 (4), 607-611, 2002.
  • [6] M.P. Nicoli, F. Haas, R.M. Freeman, S. Szilner, Z. Basrak, A. Morsad, G. R. Satchler, and M.E. Brandan, “Detailed study and mean field interpretation of 16O+12C elastic scattering at seven medium energies” Phys. Rev. C, 61, 034609, 2000.
  • [7] S. Szilner, M.P. Nicoli, Z. Basrak, R.M. Freeman, F. Haas, A. Morsad, M.E. Brandan, and G.R. Satchler, “Refractive elastic scattering of carbon and oxygen nuclei: The mean field analysis and Airy structures,” Phys. Rev. C, 64, 064614, 2001.
  • [8] M.E. Kürkçüoğlu and H. Aytekin, “An Investigation of the 16O+16O elastic scattering by phenomenological and double-folding potentials in optical model formalism at the energies between ELAB=75 and 145MeV,” Indian J. Phys., 80 (6), 641-645 2006.
  • [9] M.P. Nicoli, F. Haas, R.M. Freeman, N. Aissaoui, C. Beck, A. Elanique, R. Nouicer, A. Morsad, S. Szilner, Z. Basrak, M.E. Brandan, and G.R. Satchler, “Elastic scattering of 16O+16O at energies E/A between 5 and 8 MeV,” Phys. Rev. C, 60, 064608, 1999.
  • [10] A.A. Ogloblin, Yu.A. Glukhov, W.H. Trzaska, A.S. Dem’yanova, S.A. Goncharov, R. Julin, S.V. Klebnikov, M. Mutterer, M.V. Rozhkov, V.P. Rudakov, G.P. Tiorin, D.T. Khoa, and G.R. Satchler, “New measurement of the refractive, elastic 16O+12C scattering at 132, 170, 200, 230, and 260 MeV incident energies,” Phys. Rev. C, 62, 044601, 2000.
  • [11] M.E. Kürkçüoğlu, H. Aytekin, and I. Boztosun, “Optical model analysis of the 16O+16O nuclear scattering reaction around ELAB=5MeV/nucleon,” G. U. Journal of Science 19 (2), 105-112, 2006.
  • [12] Sh Hamada, N. Burtebayev, K.A. Gridnev, and N. Amangeldi, “Further investigation of the elastic scattering of 16O, 14N and 12C on the nucleus of 27Al at low energies,” Phys. Scr. 84 (4), 045201, 2011.
  • [13] A.T. Rudchik, Yu.O. Shyrma, K.W. Kemper, K. Rusek, E.I. Koshchy, S. Kliczewski, B.G. Novatsky, O.A. Ponkratenko, E. Piasecki, G.P. Romanyshyna, Yu.M. Stepanenko, I. Strojek, S.B. Sakuta, A. Budzanowski, L. Głowacka, I. Skwirczyńska, R. Siudak, J. Choiński, and A. Szczurek, “Elastic and inelastic scattering of 14C +18O versus 12, 13C+18O and 14C +16O,” Eur. Phys. J. A 47, 50, 2011.
  • [14] A.T. Rudchik, Yu.O. Shyrma, K.W. Kemper, K. Rusek, E.I. Koshchy, S. Kliczewski, B.G. Novatsky, O.A. Ponkratenko, E. Piasecki, G.P. Romanyshyna, Yu.M. Stepanenko, I. Strojek, S.B. Sakuta, A. Budzanowski, L. Głowacka, I. Skwirczyńska, R. Siudak, J. Choiński, and A. Szczurek, “Elastic and inelastic scattering of 13C +18O versus 12C+18O and 13C+16O,” Nucl. Phys. A 852 (1), 1-14, 2011.
  • [15] Sh Hamada, N. Burtebayev, N. Amangeldi, K.A. Gridnev, K. Rusek, Z. Kerimkulov, and N. Maltsev, “Phenomenological and semi-microscopic analysis for 16O and 12C elastically scattering on the nucleus of 16O and 12C at energies near the Coulomb barrier,” J. Phys. Conf. Ser. 381 (1), 012130, 2012.
  • [16] D.T. Khoa, W.V. Oertzen, H.G. Bohlen, and F. Nuoffer, “Study of diffractive and refractive structure in the elastic 16O+16O scattering at incident energies ranging from 124 to 1120 MeV,” Nucl. Phys. A 672 (1-4), 387-416, 2000.
  • [17] M.E. Brandan, A. Menchaca-Rocha, L. Trache, H.L. Clark, A. Azhari, C.A. Gagliardi, Y.-W. Lui, R.E. Tribble, R.L. Varner, J.R. Beene, and G.R. Satchler, “Refractive elastic scattering of 16O by 12C at 300 MeV,” Nucl. Phys. A, 688 (3-4), 659-668, 2001.
  • [18] A.A. Ogloblin, D.T. Khoa, Y. Kondo, Yu.A. Glukhov, A.S. Dem’yanova, M.V. Rozhkov, G.R. Satchler, and S.A. Goncharov, “Pronounced Airy structure in elastic 16O+12C scattering at Elab=132MeV,” Phys. Rev. C 57, 1797, 1998.
  • [19] M.E. Kürkçüoğlu, H. Aytekin, and I. Boztosun, “An investigation of the 16O+16O elastic scattering by using alpha–alpha double folding potential in optical model formalism,” Mod. Phys. Lett. A 21 (29), 2217-2232, 2006.
  • [20] A.H. Al-Ghamdi, A.A. Ibraheem, and M. El-Azab Farid, “An investigation of 4He+12C and 4He+16O reactions using the cluster model,” Commun. Theor. Phys. 58 (1), 135-140 (2012).
  • [21] V.Yu. Denisov and O.I. Davidovskaya, “Elastic scattering of heavy nuclei and nucleus–nucleus potential with repulsive core” Phys. Atom. Nucl. 73 (3), 404-411, 2010.
  • [22] Y.X. Yang and Q.R. Li, “Elastic 16O+20Ne scattering from a folding model analysis,” Phys. Rev. C 84, 014602, 2011.
  • [23] A. Barioni, J.C. Zamora, V. Guimarães, B. Paes, J. Lubian, E.F. Aguilera, J.J. Kolata, A.L. Roberts, F.D. Becchetti, A. Villano, M. Ojaruega, and H. Jiang, “Elastic scattering and total reaction cross sections for the 8B, 7Be, and 6Li+12C systems,” Phys. Rev. C 84, 014603, 2011.
  • [24] M.E. Kürkçüoğlu, G. Cof, H. Aytekin, and I. Boztosun, “Introducing a global optical model approach for analysing 16O+16O elastic scattering at 5-10MeV/nucleon region,” SDU Journal of Science (e-journal) 8 (1), 71-86 (2013).
  • [25] M.A. Hassanain, “Cluster folding and coupled-channels analysis of 16O+16O elastic and inelastic scattering,” Brazilian J. of Phys. 44 (6), 895 (2014).
  • [26] A.S. Demyanova, H.G. Bohlen, A.N. Danilov, S.A. Goncharov, S.V. Khlebnikov, V.A. Maslov, Yu.E. Penionzkevich, Yu.G. Sobolev, W. Trzaska, G.P. Tyurin, and A.A. Ogloblin, “12C+12C large angle elastic scattering at 240 MeV,” Nucl. Phys. A 834 (1-4), 473c-475c, 2010.
  • [27] Y. Küçük and I. Boztosun, “Global examination of the 12C+12C reaction data at low and intermediate energies,” Nucl. Phys. A 764, 160-180, 2006.
  • [28] D.T. Khoa, N.H. Phuc, D.T. Loan, and B.M. Loc, “Nuclear mean field and double-folding model of the nucleus-nucleus optical potential,” Phys. Rev. C 94, 034612 2016.
  • [29] M.A. Hassanain, “Investigation of 16O+12C refractive elastic scattering using the α-cluster model potential,” Eur. Phys. J. A 52, 8, 2016.
  • [30] S. Ohkubo, Y. Hirabayashi, and A.A. Ogloblin, “Existence of inelastic supernumerary nuclear rainbow in 16O+12C scattering,” Phys. Rev. C 96, 024607, 2017.
  • [31] S. Hossain, M.N.A. Abdullah, K.M. Hasan, M. Asaduzzaman, M.A.R. Akanda, S.K. Dasa, A.S.B. Tariq, M.A. Uddin, A.K. Basak, S. Ali, and F.B. Malik, “Shallow folding potential for 16O+12C elastic scattering,” Phys. Lett. B 636, 248, 2006.
  • [32] Sh. Hamada, I. Bondok, and M. Abdelmoatmed, “Double folding potential of different interaction models for 16O + 12C elastic scattering,” Brazilian J. of Phys. 44 (6), 740-745, 2016.
  • [33] A.T. Rudchik, Yu.O. Shyrma, K.W. Kemper, K. Rusek, E.I. Koshchy, S. Kliczewski, B.G. Novatsky, O.A. Ponkratenko, E. Piasecki, G.P. Romanyshyna, Yu.M. Stepanenko, I. Strojek, S.B. Sakuta, A. Budzanowski, L. Głowacka, I. Skwirczyńska, R. Siudak, J. Choiński, and A. Szczurek, “Isotopic effects in elastic and inelastic 12C+16, 18O scattering,” Eur. Phys. J. A 44 (2), 221-231, 2010.
  • [34] I. Boztosun, O. Bayrak, and Y. Dagdemir, “Comparative study of the 12C+24Mg system with deep and shallow potentials,” Int. J. Mod. Phys. E 14 (4), 663-673, 2005.
  • [35] I. Boztosun, Y. Dagdemir, and O. Bayrak, “The examination of the 12C+24Mg elastic scattering around the Coulomb barrier,” Phys. Atom. Nucl. 68 (7), 1153-1159, 2005.
  • [36] K.A. Gridnev, E.E. Rodionova, and S.N. Fadeev, “Description of elastic scattering in the 16O+16O and 16O+12C systems,” Phys. Atom. Nucl. 71 (7), 1262-1266, 2008.
  • [37] H. Feshbach, C.E. Porter and V.F. Weisskopf, “Model for nuclear reactions with neutrons,” Phys. Rev. 96 (2), 448, 1954.
  • [38] R.D. Woods and D.S. Saxon, “Diffuse surface optical model for nucleon-nuclei scattering,” Phys. Rev. 95 (2), 577, 1954.
  • [39] I.J. Thomson, “Coupled reaction channels calculations in nuclear physics,” Comput. Phys. Rep. 7, 167-212, 1988.
Birincil Dil en
Konular Fizik, Uygulamalı
Bölüm Makaleler
Yazarlar

Orcid: 0000-0003-1120-0094
Yazar: Gökhan COF
Kurum: SÜLEYMAN DEMİREL ÜNİVERSİTESİ
Ülke: Turkey


Orcid: 0000-0002-4694-1880
Yazar: M. Ertan KURKCUOGLU (Sorumlu Yazar)
Kurum: Süleyman Demirel University
Ülke: Turkey


Teşekkür This study is a part of M.Sci. Thesis of G. Cof, submitted to the University of Süleyman Demirel, Graduate School of Natural and Applied Sciences, Turkey.
Tarihler

Yayımlanma Tarihi : 30 Kasım 2019

Bibtex @araştırma makalesi { sdufeffd628931, journal = {Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi}, issn = {}, eissn = {1306-7575}, address = {}, publisher = {Süleyman Demirel Üniversitesi}, year = {2019}, volume = {14}, pages = {374 - 383}, doi = {10.29233/sdufeffd.628931}, title = {Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering}, key = {cite}, author = {COF, Gökhan and KURKCUOGLU, M. Ertan} }
APA COF, G , KURKCUOGLU, M . (2019). Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi , 14 (2) , 374-383 . DOI: 10.29233/sdufeffd.628931
MLA COF, G , KURKCUOGLU, M . "Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering". Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi 14 (2019 ): 374-383 <https://dergipark.org.tr/tr/pub/sdufeffd/issue/50336/628931>
Chicago COF, G , KURKCUOGLU, M . "Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering". Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi 14 (2019 ): 374-383
RIS TY - JOUR T1 - Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering AU - Gökhan COF , M. Ertan KURKCUOGLU Y1 - 2019 PY - 2019 N1 - doi: 10.29233/sdufeffd.628931 DO - 10.29233/sdufeffd.628931 T2 - Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi JF - Journal JO - JOR SP - 374 EP - 383 VL - 14 IS - 2 SN - -1306-7575 M3 - doi: 10.29233/sdufeffd.628931 UR - https://doi.org/10.29233/sdufeffd.628931 Y2 - 2019 ER -
EndNote %0 Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering %A Gökhan COF , M. Ertan KURKCUOGLU %T Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering %D 2019 %J Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi %P -1306-7575 %V 14 %N 2 %R doi: 10.29233/sdufeffd.628931 %U 10.29233/sdufeffd.628931
ISNAD COF, Gökhan , KURKCUOGLU, M. Ertan . "Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering". Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi 14 / 2 (Kasım 2019): 374-383 . https://doi.org/10.29233/sdufeffd.628931
AMA COF G , KURKCUOGLU M . Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering. SDÜFEFFD. 2019; 14(2): 374-383.
Vancouver COF G , KURKCUOGLU M . Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi. 2019; 14(2): 383-374.