Yıl: 2010 Cilt: 15 Sayı: 3 Sayfa Aralığı: 428 - 438 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

E(5) behaviour of the Ge isotopes

Öz:
The sufficient aspects of model leading to the E(5) symmetry have been proved by presenting E(5) characteristic of the transitional nuclei $^{64-80}Ge.$ The positive parity states of even-mass Ge nuclei within the framework of Interacting Boson Model have been calculated and compared with the Davidson potential predictions along with the experimental data. It can be said that the set of parameters used in an calculations is the best approximation that has been carried out so far. Hence, Interacting Boson Approximation (IBA) is fairly reliable for the calculation of spectra in such set of Ge isotopes.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • 1. F. Iachello, Dynamic Symmetries at the Critical Point, Phys. Rev. Lett. 85, 3580- 3583, 2000.
  • 2. F. Iachello, Analytic Description of Critical Point Nuclei in a Spherical-Axially Deformed Shape Phase Transition, Phys. Rev. Lett. 87, 052502, 2001.
  • 3. R.F.Casten and N.V.Zamfir, Evidence for a Possible E(5) Symmetry in 134Ba, Phys.Rev. Lett. 85, 3584-3586, 2000.
  • 4. J.M.Arias, E2 transitions and quadrupole moments in the E(5) symmetry, Phys. Rev. C 63, 034308, 2001.
  • 5. R.F.Casten and N.V.Zamfir, Empirical Realization of a Critical Point Description in Atomic Nuclei, Phys. Rev. Lett. 87, 052503, 2001.
  • 6. A.Arima and F.Iachello, Interacting boson model of collective states I. The vibrational limit, Ann. Phys. (N.Y.) 99, 253-317, 1976 ; Interacting boson model of collective nuclear states II. The rotational limit, Ann. Phys. (N.Y.) 111, 201-238, 1978 ; Interacting boson model of collective nuclear states IV. The O(6) limit, Ann. Phys. (N.Y.) 123, 468-492, 1979.
  • 7. D. Warner, A triple point in nuclei, Nature 420, 614-615, 2002.
  • 8. N. Turkan and I. Inci, Comparing some predictions between Davidson-like potentials and interacting boson model: X (5) behavior of even-even 128–140Nd isotopes, Phys. At. Nucl. 71 (11), 1918-1925, 2008.
  • 9. N. Turkan, D. Olgun and I. Uluer, IBM-2 calculations of some even-even selenium nuclei, Cent. Eur. J. Phys. 4(1), 124-154, 2006.
  • 10. J.Sinatkas, L.D.Skouras, D.Strottman and J.D.Vergados, Shell-model calculations in the A=80-100 mass region: I. A study of the N=50 nuclei, J.Phys. G: Nucl. And Part. Phys. 18, 1377-1400, 1992 ; Shell-model calculations in the A=80-100 mass region: II. A study of the N=49, 48 nuclei, J.Phys. G: Nucl. And Part. Phys. 18, 1401-1418, 1992.
  • 11. K. Heyde, J. Jolie, J. Moreau, J. Ryckebusch, M. Waroquier, P. Van Duppen, M. Husye and J. L. Wood, A shell-model description of 0+ intruder states in even-even nuclei, Nucl. Phys. A 466, 189-226, 1987.
  • 12. A.F. Barfield and K.P.Lieb, Boson effective charges for light Se, Kr, and Sr isotopes, Phys. Rev. C 41, 1762-1767, 1990.
  • 13. U.Kaup, C.Möntkemeyer and P.von Brentano, Band structure of even-even selenium isotopes in the proton-neutron interacting Boson model , Z. Phys. A 310 , 129- 133, 1983.
  • 14. U.Kaup and A.Gelberg, Description of even-even Krypton isotopes by the Interacting Boson Approximation, Z.Phys. A 293, 311-313, 1979.
  • 15. K.Heyde, J.Moreau and M.Waroquier, Evidence for very large deformation in neutron deficient nuclei with Z≃40, Phys. Rev. C 29, 1859-1871, 1984.
  • 16. T.Matsuzaki and H.Taketani, Band structures of 76Se and 78Se, Nucl. Phys. A 390, 413-448, 1982.
  • 17. H.Higo, S.Matsuki and T.Yanabu, Level structure of 80,82Sr via the 78,80Kr(α, 2nγ) reactions, Nucl. Phys. A 393, 224-236, 1983.
  • 18. N. Turkan , D. Olgun, I. Uluer and S. Inan, Investigation of The Multipolarity of Electromagnetic Transitions in 88,90Kr Nuclei, Turk. J. Phys. 30, 89-94, 2006.
  • 19. R.B.Firestone, Table of Isotopes, J.Wiley-Interscience, USA, 1996.
  • 20. A.Bohr and B.Mottelson, Nuclear Structure, Vol. II, Benjamin, New York,1975.
  • 21. L. Wilets and M. Jean, Surface Oscillations in Even-Even Nuclei, Phys. Rev. 102, 788-796, 1956.
  • 22. M.A.Caprio and F.Iachello, Analytic descriptions for transitional nuclei near the critical point, Nucl. Phys. A 781, 26-66, 2007.
  • 23. M.A.Caprio, Effects of β-γ coupling in transitional nuclei and the validity of the approximate separation of variables, Phys. Rev. C 72, 054323, 2005.
  • 24. Dennis Bonatsos, D. Lenis, D. Petrellis, P. A. Terziev and I. Yigitoglu, Analytical Special Solutions of the Bohr Hamiltonian, arXiv:nucl-th. 1, 0512046, 2005.
  • 25. J. P. Elliott, J. A. Evans and P. Park, A soluble γ-unstable hamiltonian, Phys. Lett. B 169, 309-312, 1986.
  • 26. D. J. Rowe and C. Bahri, Rotation-vibrational spectra of diatomic molecules and nuclei with Davidson interactions , J. Phys. A 31, 4947-4961, 1998.
  • 27. F.Iachello and A.Arima, The Interacting Boson Model, Cambridge University Press., Cambridge, 1987.
  • 28. D. Bonatsos et al., Ground state bands of the E(5) and X(5) critical symmetries obtained from Davidson potentials through a variational procedure, Phys. Lett. B 584, 40-47, 2004.
  • 29. N. Turkan, Search for E(5) behavior: IBM and Bohr–Mottelson model with Davidson potential calculations of some even–even Xe isotopes, J.Phys. G: Nucl. And Part. Phys. 34, 2235-2247, 2007.
  • 30. O.Scholten, The Program Package PHINT Manual Book, National Superconducting Cyclotron Laboratory, Dept. of Physics, Michigan State University, East Lansing, Michigan 48824, 1982.
  • 31. J. Stachel, P. Van Isacker and K. Heyde, Interpretation of the A≈100 transitional region in the framework of the interacting boson model, Phys. Rev. C 25, 650-657, 1982.
  • 32. N.Turkan, T.Bascetin and I.Inci, Quadrupole moments of some nuclei around the mass of A~80 $^{76,78,80,82,84,86,88}Kr$ and neighboring Se isotopes, Phys. At. Nucl., will be published in 2009.
  • 33. I. Boztosun, D.Bonatsos and I. Inci, Analytical solutions of the Bohr Hamiltonian with the Morse potential, Phys. Rev.C 77, 044302, 2008.
APA TURKAN N, MARAŞ İ (2010). E(5) behaviour of the Ge isotopes. , 428 - 438.
Chicago TURKAN Nureddin,MARAŞ İsmail E(5) behaviour of the Ge isotopes. (2010): 428 - 438.
MLA TURKAN Nureddin,MARAŞ İsmail E(5) behaviour of the Ge isotopes. , 2010, ss.428 - 438.
AMA TURKAN N,MARAŞ İ E(5) behaviour of the Ge isotopes. . 2010; 428 - 438.
Vancouver TURKAN N,MARAŞ İ E(5) behaviour of the Ge isotopes. . 2010; 428 - 438.
IEEE TURKAN N,MARAŞ İ "E(5) behaviour of the Ge isotopes." , ss.428 - 438, 2010.
ISNAD TURKAN, Nureddin - MARAŞ, İsmail. "E(5) behaviour of the Ge isotopes". (2010), 428-438.
APA TURKAN N, MARAŞ İ (2010). E(5) behaviour of the Ge isotopes. Mathematical and Computational Applications, 15(3), 428 - 438.
Chicago TURKAN Nureddin,MARAŞ İsmail E(5) behaviour of the Ge isotopes. Mathematical and Computational Applications 15, no.3 (2010): 428 - 438.
MLA TURKAN Nureddin,MARAŞ İsmail E(5) behaviour of the Ge isotopes. Mathematical and Computational Applications, vol.15, no.3, 2010, ss.428 - 438.
AMA TURKAN N,MARAŞ İ E(5) behaviour of the Ge isotopes. Mathematical and Computational Applications. 2010; 15(3): 428 - 438.
Vancouver TURKAN N,MARAŞ İ E(5) behaviour of the Ge isotopes. Mathematical and Computational Applications. 2010; 15(3): 428 - 438.
IEEE TURKAN N,MARAŞ İ "E(5) behaviour of the Ge isotopes." Mathematical and Computational Applications, 15, ss.428 - 438, 2010.
ISNAD TURKAN, Nureddin - MARAŞ, İsmail. "E(5) behaviour of the Ge isotopes". Mathematical and Computational Applications 15/3 (2010), 428-438.