Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi

10 0

Proje Grubu: MFAG Sayfa Sayısı: 0 Proje No: 117F245 Proje Bitiş Tarihi: 01.10.2018 Metin Dili: Türkçe İndeks Tarihi: 18-03-2020

Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi

Öz:
Bu çalışmada çift-çift deforme çekirdekler için spini ve paritesi olan durumların Dev Dipol Rezonans (Giant Dipole Resonance-GDR) uyarılmaları, Kuazi Parçacık Rastgele Faz (QRPA) yaklaşımı çerçevesinde incelenmiştir. Bu yaklaşımla ortalama potansiyelin kırılan simetrisinin restorasyonu için izoskaler ve izovektör ayrılabilir etkileşmeler özuyumlu olarak belirlenmiştir. İzovektör dipol-dipol etkileşmesinin tek bir parametresini içeren model, GDR?nin deforme çekirdeklerde yarılmasını, K=0 ve K=1 dalları için enerjilerini, deneysel verilere uygun bir şekilde açıklamaktadır. Model (TGI) ile, QRPA yaklaşımında restorasyonun gerçekleşmediği (NTGI), yalnız öteleme değişmezliğin (TI) ve yalnız Galileo değişmezliğin (GI) restore edilmesiyle elde edilen yaklaşımlarla, gerçekleştirilen restorasyonların spektruma karışan sıfır enerjili sahte hallerin (Goldstone modu) ayrılmasına katkısı incelenmiştir. Hesaplamalar restorasyon kuvvetlerinin Hamiltoniyen?e eklenmesiyle B(E1) gücünün parçalandığını ve bu durumun enerji spektrumunun dağılımını değiştirdiğini göstermiştir. Çift-çift deforme ve geçiş çekirdeklerinden 142-152Nd, 144-154Sm, 152-164Gd, 156-168Dy, 168-178Yb, 180-190W, 232Th, 236-238U izotoplarının ve geçişleri için indirgenmiş geçiş olasılıkları (B(E1)) ve enerji ( ) değerleri model çerçevesinde hesaplanmıştır. İncelenen deforme çekirdekler için GDR bölgesinde ?K=1 dalının baskın olduğu görülmüştür. Deforme çekirdekler için hesaplanan toplam fotoabsorbsiyon tesir kesitinin ( ) K=0 ve K=1 dallarından gelen, sırasıyla 11-12 MeV ile 15-16 MeV enerji aralıklarında bulunan pik değerlerinin spektrumda oluşturduğu hörgüçlü yapı deneysel ve diğer teorik çalışmaların verileriyle uyumlu sonuçlar vermiştir. Ayrıca elektrik dipol geçişlerinin bazı karakteristik özelliklerinden, asimptotik kuantum numaraları , radyasyon kalınlıkları ?(E1), indirgenmiş radyasyon kalınlıkları ?red(E1) ve integre edilmiş tesir kesitleri , , araştırılmıştır.
Anahtar Kelime: dev dipol rezonans elektrik dipol geçiş QRPA Çift-çift deforme çekirdek

Konular: Fizik, Uygulamalı Fizik, Nükleer
Erişim Türü: Erişime Açık
  • Adekola, A. S., Angell, C. T., Hammond, S. L., Hill, A., Howell, C. R., Karwowski, H. J., Kelley, J. H., Kwan, E. 2011. Discovery of Low-Lying E1 and M1 Strengths in 232Th. Phys. Rev. C. 83: 034615.
  • Au, J. W., Burton, G. R., Brion, C. E. 1997. Quantitative Spectroscopic Studies of The Valence-Shell Electronic Excitation of Freons (CFCl3, CF2Cl2, CF3Cl, and CF4) in The VUV and Soft X-Ray Regions, Chem. Phys. 221: 151.
  • Baldwin, G. C., Klaiber, G. S. 1947. Photo-fission in heavy elements. Phys.Rev. 71: 3-10.
  • Baranger, M., Vogt, E., 1968. Advances in Nuclear Physıcs. ISBN 978-1-4684-8345-1, ISBN 978-1-4684-8343-7 (eBook).
  • Berman, B. L. Kelly, M. A. Bramblett, R. L. Caldwell, J. T. Davis, H. S. Fultz, S. C. 1969. Giant Resonance in deformed nuclei: photoneutron cross sections for 153Eu, 160Gd, 165Ho and 186W. Phys. Rev. 185 (4), 1576-1590.
  • Berman, B. L., Caldwell, J. T., Dowdy, E. J., Dietrich, S. S., Meyer, P., Alvarez, A. 1986. Photofission and photoneutron cross sections and photofission neutron multiplicities for 233U 234U 237Np and 239Pu. Phys. Rev. C 34 (6), 2201-2214.
  • Berman, B. L., Fultz, S. C. 1975. Measurements of The Giant Dipole Resonance with Monoenergetic Photons. Rev. Mod. Phys. 47: 713.
  • Berman, B.L, Faul, D.D., Alvarez, R. A., Meyer, P., Olson, D. L. 1979. Giant resonance in transitional nuclei: Photoneutron cross sections for osmium isotopes . Phys.Rev. C19 1205-1223
  • Bohr, A., Mottelson, B. R. 1997. Single-Particle Motion V-I, World Scientific, 1-246.
  • Bohr, A., Mottelson, B. R. 1998. Nuclear Deformations V-II, World Scientific, 1-386.
  • Bortignon, P. F. 2003. “A Review of: “Giant Resonances: Fundamental High-Frequency Modes of Nuclear Excitation””, Nuclear Physics News, 13 (3), 29-30.
  • Bothe, W., Günter, W. 1937. Atommumwandlungen durchy gamma-strahlen. Z. Phys. 106: 236.
  • Bowman, C. D., Auchampaugh, G.F., Fultz, S.C. 1964. Photodisintegration of U235. Phys. Rev. 133: B676.
  • Caldwell J. T., Dowdy, E. J., Bcrman, B. L., Alvarez, R. A., Meyer, P. 1980. Giant resonance for the actinide nuclei: Photoneutron and photofission cross sections for 233U, 236U 238U and 232Th. Physical Review C, 21(4), 1215-1231.
  • Cannata, F., Uberall, H. 1980. Giant Resonance Phenomena in Intermediate-Energy Nuclear Reactions, Springer-Verlag, 1-120.
  • Carlos, P., Bergere, R., Beil, H., Lepretre, A., Veyssiere, A., 1974. A Semi-Phenomenological Descripotion of The Giant Dipole Resonance Width. Nucl. Phys., A219, 61.
  • Ceruti, S. 2014. Test of isospin symmetry via giant dipole resonance gamma decay. Milano Üniversitesi, Fizik Bölümü, Doktora Tezi.
  • Civitarese, O., Faessler, A., Licciardo, M. C. 1992. Symmetry breaking of the Galilean invariance in superfluid nuclei and its connection with quadrupole pairing interactions. Nucl. Phys. A542: 221.
  • Danos, M. 1958. On The Long-Range Correletation Model of The Photonuclear Effect. Nucl. Phys. A5: 23.
  • Donaldson, L. M, Bertulani C. A, Carter J, Nesterenko V. O, von Neumann-Cosel P, Neveling R, Ponomarev V. Yu, Reinhard P-G, Usman, I. T, Adsley, P., Brummer, J. W, Buthelezi, E. Z, Cooper, G. R. J., Fearick, R. W., Förtsch, S. V., Fujita, H., Fujita, Y., Jingo, M., Kleinig, W., Kureba, C. O., Kvasil, J., Latif, M., Li, K.C.W., Mira, J. P., Nemulodi, F., Papka, P., Pellegri, L., Pietralla, N., Richter, A., Sideras-Haddad, E., Smit, F. D., Steyn, G. F., Swartz, J. A., Tamii, A. 2018. Deformation dependence of the isovector giant dipole resonance: the Neodymium isotopic chain revisited. Phys. Lett. B776: 133.
  • Dudek, J., Nazarewicz, W., Faessler, A. 1984. Theoretical analysis of the single-particle states in the secondary minima of fissioning nuclei. Nucl. Phys. A, 412, 61-91.
  • Ertuğral, F., Guliyev, E., Kuliev, A. E. 2007. 232Th çekirdeğinde elektrik dipol uyarılmalarına öteleem değimezliğin etkisi. Anadolu Univ. J. Sci. and Tech. 8:223.
  • Ertuğral, F; Guliyev, E; Kuliev, A; Yildirim, Z. 2009. Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region. Central European Journal Of Physics, Vol.7, 731-737.
  • Feifrlik, V., Rizek,J. ve Vogel, P. 1968 .”Dipole States In Deformed Nuclei”, Nuclear Physics A, 119(1), 1-13.
  • Gabrakov, S. I., Pyatov, N. I., Salamov, D. I. 1977. Effects of breaking the translational and Galilean Invariences of Nuclear Model Hamiltonians. International Atomic Energy Agency and United Nation Educational Scientific and Cultural Organization.
  • Gell-Mann, M., Telegdi, V. 1953.Consequences of charge independence for nuclear reactions involving photons. Phys. Rev. 91: 169.
  • Goldhaber, M., Teller, E. 1948. On nuclear dipole vibration. Phys.Rev. 74, 1046-1049.
  • Goldstone, J., Salam, A., Weinberg, S., Broken Symmetries, Phys. Rev.1962; 127:965-970.
  • Goryachev, B. I., Kuznetsov, Y. V., Orlin, V. N., Pozhidaeva, N. A., Shevchenko, V. G. 1976.
  • Giant Resonance in the Strongly Deformed Nuclei. 159Tb, 165Ho, 166Er, and 178Hf. Yad. Fiz., 23, 1145.
  • Greiner, W., Maruhn, J. A. 1996. Nuclear Models. Springer, 1-399.
  • Guliev, E., Kuliev, A. A., Güner, M. 2010. Electric dipole strength distribution below the E1 giant resonance in N = 82 nuclei. Cent. Eur. J. Phys., 8(6), 961-969.
  • Guliev, E., Kuliev, A. A., Neumann-Cosel P., Richter, A.. 2002. Nature of the scissors mode in nuclei near shell closure: the tellurium isotope chain.Physics Letters B 532,173– 178.
  • Guliyev, E., Ertuğral, F., Kuliev, A. A. 2006. Low lying magnetic dipole strength distribution in the γ-soft even-even 130-136Ba. Eur. Phys. J. A, 27, 313–320.
  • Guliyev, E., Kuliev, A. A., Ertuğral, F. 2009a. Low-lying dipole excitations in the deformed even-even isotopes 154-160Gd. Acta Physica Polonica B, Vol.40, 653-656.
  • Guliyev, E., Kuliev, A.A., Ertugral, F. 2013. “Systematic Investigation of the Low-Energy Dipole Excitations in 176,178,180Hf within Rotational, Translational and Galilean Invariant Quasiparticle RPA'', Nucl. Phys. A, 915, 78- 89.
  • Guliyev, E.; Kuliev, A. A.; Ertuğral, F. 2009b. Low-lying magnetic and electric dipole strength distribution in the 176Hf nucleus. European Physical Journal A - Vol.39, 323-333.
  • Gurevich, G. M, Lazareva, L. E, Mazur, V. M., Solodukhov, G. V. 1974. Total cross section for the absorption of gamma quanta by Th232, U235, U238, and Pu239 in the region of dipole giant resonance. Zh. E. T. F. Pis. Red. 20: 741.
  • Gurevich, G. M, Lazareva, L. E., Mazur, V. M., Merkulov, S. Y., Solodukhov, G. V, Tyutin, V. A. 1978. Width of E1 giant resonance of deformed nucle in the 150 <A<186 region. Pis’ma Zh. Eksp. Teor. Fiz. 28: 168.
  • Gurevich, G. M. 1976b. Width of giant resonance in the absorption for the cross section of gamma rays by nuclei in the region 150<A<200. Pis’ma Zh. Eksp. Teor. Fiz. 23: 411.
  • Gurevich, G. M., Lazareva, L. E., Mazur, V. M., Merkulov, S. Y., Solodukhov, G. V. 1980. Total photoabsorption cross section for high-Z elements in the energy range 7-20 MeV. Nucl. Phys. A338: 97.
  • Gurevich, G. M., Lazareva, L. E., Mazur, V. M., Solodukhov, G. V., Tulupov, B.A. 1976a. Giant resonance in the total photoabsorbtion crosss sectin of Z ~ 90 nuclei. Nucl. Phys. A273: 326.
  • Gurevich, G. M., Lazareva, L. E., Mazur, V. M.,. Merkulov, S. Yu, Solodukhov, G. V. 1981. Total nuclear photoabsorption cross sections in the region 150<A<190. Nucl. Phys. A351: 257.
  • Habs, D. 2013. γ Optics and Nuclear Photonics. İçinde: Encyclopedia of Nuclear Physics and Its Applications. 1. Baskı, Wiley-VCH, 271-298.
  • Harakeh, M. N., van der Woude A. 2001. Giant Resonances, Oxford University Press, 1-656.
  • Harakeh, M. N., van der Woude, A. 2006. Giant Resonances Fundamental High-Frequency Modes of Nuclear Excitation. Oxford science publication, New York, USA.
  • Harvey, R. R., Caldwell, J. T., Bramblett, R. L., Fultz, S. C. 1964. Photoneutron Cross Sections of Pb206 Pb207 Pb208 and Bi209. Physical Review, 136, 1B, 126-131.
  • Hinohara, N., Kortelainen, M., Nazarewicz, W. 2013. Low-energy collective modes of deformed superfluid nuclei within the finite-amplitute method. Phys. Rev. C87: 064309.
  • Horen, D. J., Bertrand, F. E., Lewis, M. B. 1974. Comparison of the inelastic scattering of protons by Sm-144, Sm-154 in the region of giant resonances. Phys.Rev. C9, 1607- 1610.
  • Ishkhanov, B. S., Kapitonov, I. M. 2015 The Configurational Splitting of Giant Dipole Resonance. Moscow University Physics Bulletin, 2015, Vol. 70, No. 2, pp. 75–88.
  • Ishkhanov, B. S., Troshchiev, Y. S. 2011. Giant dipole resonance in heavy deformed nuclei. Moscow Univ. Phys. Bull. 66: 325.
  • Iudice, N. L. 2000. Collective Excitations in Deformed Nuclei, Rıvısta Del Nuovo Cımento Vol. 23, N. 9.
  • Kapitonov, I. M. 2015. Width of the giant dipole resonance in medium and heavy nuclei. Bulletin of the russian Academy of Sciences, Physics 79: 526-531.
  • Khuong, C. Z., Soloviev, V. G., Voronov, V. V. 1979. Description of the substructure in the radiative strength function of 117Sn and 119Sn. J. Phys. G: Nucl. Phys. 5: L79.
  • Kneissl, U.,Pitz,H. H., Zilges, A. 1996. Investigation of nuclear structure by resonance fluorescence scattering. Prog. Part. Nucl. Phys. 37: 349.
  • Krane K. S., Steffen, R. M. 1970. Phys. Rev. C 2, 724.
  • Kuhn, W. 1925. On the total strength of the absorption lines emanating from a state. Z. für Physik 33: 408.
  • Kuliev A. A., Salamov D. I. 1984. Azerbaycan SSR Elmler Akademisi Haberleri No:2(1984)60-69.
  • Kuliev, A. A., Akkaya, R., Ilhan, M., Guliyev, E., Salamov, C., Selvi, S. 2000. Rotationalinvariant model of the states with Kπ=1+and their contribution to the scissors mode. Int. J. Mod. Phys. E, 9(3):249-261.
  • Kuliev, A. A., Guliyev, E., Ertuğral, F., Özkan, S. 2010. The lw-energy dipole structure of 232Th, 236U and 238U actinide nuclei. Eur. Phys. J A 43: 313-321.
  • Kuliev, A. A., Guliyev, E., Gerçeklioğlu, M. 2002. The Dependence of The Scissors Mode on The Deformation in The 140-150Ce Isotopes, J. Phys G. Nucl. Particle Physics 28, 407
  • Kuliev, A. A., Pyatov, N. I. 1968. Effect of the spin-quadrupole force on the rate of decay to collective states of even deformed nuclei. Nuclear Phys. A 1006 (3): 689-696.
  • Kuliev, A. A., Selam, C., Küçükbursa, A. 2001. The effect of the Galileo invariance pairing on the 1- state in spherical nuclei. Math. and Comp. App. 6: 103-111.
  • Kuznetsov V., Merkulov S., Solodukhov G., Sorokin Y., Turinge, A. 2017. Total And Nuclear, Photoabrorptıon Cross Sectıons of 52Cr In The Energy Range of 8-70 MeV. arXiv:0812.4652v1[nucl-ex].
  • Lacroix, D., Ayik S. ve Chomaz, P.H. 2004. Prog. in Part. and Nucl. Phys., 52, 497.
  • Levinger, J. S., Bethe, H. A. 1952. Neutron yield from the nuclear photo-effect. Phys. Rev. 85: 577.
  • Linnemann, A., Von Brentano, P., Eberth, J., Enders, J., Fitzler, A., Fransen, C., Guliyev, E., Herzberg, R. D., Käubler, L., Kuliev, A. A. 2003. Change of the dipole strength distributions between the neighbouring γ-soft nuclei 194Pt and 196Pt, Phys. Lett. B, 554, 15-20.
  • Litvinova, E., Ring, P., Tselyaev, V. 2018. Relativistic quasiparticle time blocking approximation: dipole response of open-shell nuclei. Phys. Rev. C78: 014312.
  • Malov, L. A., Meliev,. F. M., Soloviev, V. G. 1985. Description of radiative strength functions in deformed nuclei. Z. Phys. A. Atom and Nuclei 320: 521.
  • Malov, L. A., Soloviev, V. G. 1976. Fragmentation of single-particle states and neutron strength functions in deformed nuclei. Nucl. Phys. A270: 87.
  • Marshalek, E. R., Weneser, J. 1969. Nuclear Rotation and Random-Phase Approximation. Ann. Phys., 53(3), 569‒624.
  • Masur, V. M., Mel’nikova, L. M. 2006. Giant dipole resonance in absorption and emission of gamma rays by medium and heavy nuclei. Phys. Par. Nucl..37: 923.
  • Migdal, A. B. 1945. Zh. Eksp. Teor. Fiz. 15 81.
  • Möller, P., Nix, J. R., Myers, W. D., Swiatecki, W. J. 1995. Nuclear ground-state masses and deformations. Atom. Data and Nucl. Data Tables 59: 185.
  • Oishi, T., Kortelainen, M. ve Hinohara, N. 2016. “Finite Amplitude Method Applied to the Giant Dipole Resonance in Heavy Rare-Earth Nuclei”, Physical Review C, 93(3), 24– 26.
  • Oishi, T., Kortelainen, M., Hinohara, N. 2016. Finite amplitude method applied to the giant dipole resonance in heavy rare-earth nuclei. Phys. Rev. C 93: 034329.
  • Okamoto, K. 1956. Relation between the Quadrupole Moments and the Widths of the Giant Resonance of Photonuclear Reaction. Progress of Theoretical Physics, 15 (1), 75–77.
  • Okamoto, K. 1958. Relation between the quadrupole moments and the widths of the giant resonance of photonuclear reaction. Prog. Theo. Phys. 15: 75.
  • Paar, N., Horvat, A. 2014. Probing the neutron skin thickness in collective modes of excitation. EPJ Web of Conferences (INPC 2013, International Nuclear Physics Conference) Volume 66.
  • Paar, N., Vretenar, D., Khan, E., Colo, G. 2007. Exotic modes of excitation in atomic nuclei far from stability. Rep. Prog. Phys. 70: 691-793.
  • Pitz, H. H., Heil, R. D., Kneissl, U., Lindenstruth, S., Seemann, U., Stock, R., Wesselborg, C., Zilges, A., Brentano, P. V., Hoblit, S. D., Nathan, A. M. 1990. Low-energy photon scattering off 142,146,148,150Nd: An investigation in the mass region of a nuclear shape transition. Nuclear Physics, Section A, 509(3), 587-604.
  • Poltoratska, I., Fearick, R. W., Krumbholz, A. M., Litvinova, E., Matsubara, H., von NeumannCosel, P., Ponomarev, V. Yu., Richter, A., Tamii, A. 2014. Fine structure of the isovector dipole resonance in 208Pb: Characteristic scales and levels densities. Phys. Rev. C 89: 054322.
  • Ponomarev, V. Yu., Vigezzi, E., Bortignon, P. F., Broglia, R. A., Colo, G., Lazzar, G., Voronov, V. V., Baur, G. 1994. Microscopic origin of the giant resonance structure. Volume 569, Issue 1-2, 333-342.
  • Pyatov, N. I., Salamov, D. I. 1977. Conservation laws and collective excitations in nuclei. Nukleonika 22: 127.
  • Pyatov, N.I. 1974. “Invariance Principle And Effective Forces”, Jinr Reports, P4–8380.
  • Pyatov, N.I. ve Chernej, M.I. 1972. “Rotational Invariance, Inertia and 1+ State Moments In Deformed Nuclei”, Sov. J. Nucl. Phys., 16(5), 931‒940.
  • Raduta, A. A., Budaca, R., Raduta, A. H. 2009. Collective dipole exciations in sodium clusters. Phys. Rev. A79: 023202.
  • Raman, S., Nestor, C. W., Tikkanen, P. 2001. Transition probability from the ground to the first excited 2+ state of even-even nuclides. Atom. Data and Nucl. Data Tables 78: 1.
  • Reiche, F., Thomas, W. 1925. Über die Zahl der Dispersionselektronen, die einem stationären Zustand zugeordnet sind. Z. für Physik 34: 510.
  • Rezwani, V., Gneuss, G., Arenhövel, H. 1970. Dynamic collective model of the giant resonance. Phys. Rev. Lett. 25: 1667.
  • Richter, A. 2004. Fine structure of giant resonances revisited experimentally and theoretically. Nuclear Physics A73 1, 59-75.
  • Ring P., Shuck P., 2004. The Nuclear Many Body Problem, 1980 by Springer Verlag New York Inc. Printed in the United Statet of America. ISBN:0-387-09820-8 Springer Verlag New York 1-718.
  • Romig, C., Savran, D., Beller, J., Birkhan, J., Endres, A., Fritzsche, M., Glorius, J., Isaak, J., Pietralla, N., Scheck, M., Schnorrenberger, L., Sonnabend, K., Zweidinger, M. 2015. Direct determination of ground-state transition widths of low-lying dipole states in 140Ce with the self-absorption technique, Phys. Lett. B 744 369-374.
  • Rowe, D. J. 2010. Nuclear collective Motion Models and Theory, World Scientific Publishing, 1-373.
  • Sarchi, D., Bortignon, P. F., Colò, G. 2004. Dipole states in stable and unstable nuclei, Physics Letters B 601 27–33.
  • Scheck, M., I., Mishev, S., Ponomarev, V. Y., Ponomarev, R., Chapman, P., Gaffney, L. G., Gregor, E. T., Pietralla, N., Spagnoletti, P., Savran, D., Simpson, G. S. 2016. Investigating the Pygmy Dipole Resonance Using β Decay. Phys. Rev. Lett. 116: 132501.
  • Scheck, M., Mishev, S., Ponomarev, V. Yu., Chapman, R., Gaffney, L. P., Gregor, E. T., Pietralla, N., Spagnoletti, P., Savran, D. ve Simpson, G. S. 2016. “Investigating the Pygmy Dipole Resonance Using β Decay”, Phys. Rev. Lett., 116, 132501.
  • Schröder, H. P. 2015. The energy-weighted sum rule and the nuclear radius. Eur. Phys. J. 51: 109.
  • Soloviev, V. G. 1976. Theory of Complex Nuclei, Pergamon Press, 1-468.
  • Soloviev, V. G. 1992. Theory of atomic nuclei: Quasiparticles and phonons, Institute of Physics Publishing Bristol and Philadelphia, 1-333.
  • Soloviev, V. G., Stoyanov, C., Vdovin, A .I. 1980. The description of fragmentation of onequasiparticle states in spherical nuclei. Nucl. Phys. A342: 261.
  • Soloviev, V.G., Sushkov, A.V., Shirikova, N.Yu., Lo Iudice, N. 1997. Low-lying magnetic and electric dipole transitions in odd-mass deformed nuclei: A microscopic approach. Nucl. Phys. A, 613:4568.
  • Steinwedel, H., Jensen, H. J. D., Jensen, P. 1950. Nuclear dipole vibrations. Phys. Rev. 79: 1019.
  • Suhonen, J. 2007. From Nucleons to Nucleus Concept of Microscopic Nuclear Theory, Springer, 1-655.
  • Thomas, W. 1925. Über die zahl der dispersionselektronen, die einem stationären zustande zugeordnet sind. Naturwissenchaften 13:627.
  • Uberall, H. 1971. Electron Scattering From Complex Nuclei Part B. Academic Press, 1-869.
  • Van der Woude, A. 1991. The Electric Giant Resonances İçinde: Electric and Magnetic Giant Resonances in Nuclei. 1. Baskı, World Scientific, 99-232.
  • Varlamov, A. V., Varlamov, V. V., Rudenko, D. S., Stepanov, M. E. 1999. Atlas of Giant Dipole Resonances Parameters and Graphs of Photonuclear Reaction Cross Section. IAEE, 1-328.
  • Vasilijev, 0. V., Zalesny, G. N., Semenko, S. F. ve Semenov, V. A. 1969. “The Giant Dipole Resonance in the Transition Region From Spherical To Deformed Nuclear Shapes”, Physics Letters, 30B(2), 97-99.
  • Versteegen, M., Denis-Petit, D., Meot, V., Bonnet, T., Comet, M., Gobet, F., Hannachi, F., Tarisien, M., Morel, P., Martini, M., Peru, S. 2016. Low-energy modification of the γ strength function of the odd-even nucleus 115In. Phys. Rev. C 94: 044325.
  • Veyssiire, A., Beil, H., Bergere, R., Carlos, P. ve Lepretre, A. 1973. “A Study Of The Photofission and Photoneutron Processes in the Giant Dipole Resonance of 232Th, 238U and 237Np. Nuclear Physics A, 199, 45-64.
  • Woude, A., 1996. “Past, Present and Future of Giant Resonances or Nearly 60 Years Of Giant Resonance Research”, Nuclear Physics A, 599, 393-399.
  • Yoshida, K., Nakatsukasa, T. 2011. Dipole responses in Nd and Sm isotopes with shape transitions. Phys. Rev. C 83: 021304(R).
  • Youngblood, D. H., Moss, J. M., Rozsa, C. M., Bronson, J. D., Bacher, A. D., Brown, D. R. 1976. Giant resonances observed in the scattering of 96- and 115-MeV alpha particles. Phys. Rev. C 13(3), 994-1008.
APA ERTUĞRAL F, DEMİRCİ SAYĞI N (2018). Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. , 1 - 0.
Chicago ERTUĞRAL Filiz,DEMİRCİ SAYĞI Nilüfer Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. (2018): 1 - 0.
MLA ERTUĞRAL Filiz,DEMİRCİ SAYĞI Nilüfer Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. , 2018, ss.1 - 0.
AMA ERTUĞRAL F,DEMİRCİ SAYĞI N Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. . 2018; 1 - 0.
Vancouver ERTUĞRAL F,DEMİRCİ SAYĞI N Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. . 2018; 1 - 0.
IEEE ERTUĞRAL F,DEMİRCİ SAYĞI N "Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi." , ss.1 - 0, 2018.
ISNAD ERTUĞRAL, Filiz - DEMİRCİ SAYĞI, Nilüfer. "Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi". (2018), 1-0.
APA ERTUĞRAL F, DEMİRCİ SAYĞI N (2018). Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. , 1 - 0.
Chicago ERTUĞRAL Filiz,DEMİRCİ SAYĞI Nilüfer Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. (2018): 1 - 0.
MLA ERTUĞRAL Filiz,DEMİRCİ SAYĞI Nilüfer Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. , 2018, ss.1 - 0.
AMA ERTUĞRAL F,DEMİRCİ SAYĞI N Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. . 2018; 1 - 0.
Vancouver ERTUĞRAL F,DEMİRCİ SAYĞI N Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi. . 2018; 1 - 0.
IEEE ERTUĞRAL F,DEMİRCİ SAYĞI N "Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi." , ss.1 - 0, 2018.
ISNAD ERTUĞRAL, Filiz - DEMİRCİ SAYĞI, Nilüfer. "Çift-Çift Deforme Çekirdeklerin Dev Dipol Rezonans Özelliklerinin İncelenmesi". (2018), 1-0.