Descriptive study of the even-even actinide nuclei 230-234Th isotopes using IBM-1

  • The nuclear structure of the actinide even-even thorium isotopes from A=230-234 have been investigated within the framework of the Interacting Boson Model (IBM-1). Predictions are given for the excited state energies for the ground state, β and γ -bands, the transition probabilities between these states, the rotational moment of inertia, and the energy staggering in the γ-band energies. The results of these calculations are compared with the experimental data on these isotopes.
      PCAS:
  • [1] K. Nomura, T. Otsuka, N. Shimizu, and Lu Guo, Phys. Rev. C, 83: 041302(R) (2011)
    [2] A. Bohr and B. R. Mottelson, Nuclear Structure, Vols. 1 and 2 (Benjamin, New York, 1969/1975)
    [3] P. Ring and P. Schuck, The Nuclear Many-Body Problem (Berlin: Springer, 1980)
    [4] F. Iachello and A. Arima, The Interacting Boson Model (Cambridge: Cambridge University Press, 1987)
    [5] M. S. Nadirbekov and G. A. Yuldasheva, Int. J. of Mod. Phys. E, 23: 1450034 (2014)
    [6] A. Couture, R. F. Casten and R. B. Cakirli, Phys. Rev. C, 91: 014312 (2015)
    [7] Ji-Wei Cui et al, Phys. Rev. C, 90: 014321 (2014)
    [8] H. G. Ganev, Phys. Rev. C, 89: 054311 (2014)
    [9] Bing-Nan Lu, Phys. Rev. C, 89: 014323 (2014)
    [10] P. Jachimowicz, M. Kowal, and J. Skalski, Phys. Rev. C, 85: 034305 (2012)
    [11] A. Frank and P. Van Isacker, Algebraic Methods in Molecular and Nuclear Structure Physics (New York: Wiley, 1994)
    [12] T. Otsuka, A. Arima, F. Iachello, and I. Talmi, Phys. Lett. B, 76: 139 (1978); T. Otsuka, A. Arima, and F. Iachello, Nucl. Phys. A, 309: 1 (1978)
    [13] T. Mizusaki and T. Otsuka, Prog. Theor. Phys. Suppl., 125: 97 (1997)
    [14] K. Nomura, N. Shimizu, and T. Otsuka, Phys. Rev. Lett., 101: 142501 (2008)
    [15] T. Otsuka, Phys. Lett. B, 138: 1 (1984)
    [16] N. Minkov, S. B. Drenska, P. P. Raychev, R. P. Roussev, and D. Bonatsos, Phys. Rev. C, 064301: 61 (2000)
    [17] D. Bonatsos, Phys. Lett. B, 200: 1 (1988)
    [18] C. A. Fields, K. H. Hicks, and R. J. Peterson, Nucl. Phys. A, 431: 473 (1984)
    [19] M. S. Nadirbekov and G. A. Yuldashevs. Inter. J. Mod. Phys. E, 23: 5 (2014)
    [20] K. Nomura, D. Vretenar, and B.-N. Lu, Phys. Rev. C, 88: 021303 (R) (2013)
    [21] Z.P. Li, B. Y. Song, J. M. Yao, D. Vretenar, and J. Meng, Phys. Lett. B, 726: 866 (2013)
    [22] K. Nomura, D. Vretenar, T. Niki, and B.-N. Lu, Phys. Rev. C, 89: 024312 (2014)
    [23] A. Arima and F. Iachello, Ann. Phys. NY, 123: 468 (1979)
    [24] A. Arima and F. Iachello, Ann. Rev. Nucl. Part. Sci., 31: 75 (1981)
    [25] R. F. Casten and D. D. Warner, Rev. Mod. Phys., 60: 391 (1988)
    [26] K. Kumar and M. Baranger, Nucl. Phys. A, 92: 608 (1976)
    [27] R. A. Sorenson, Rev. Mod. Phys., 45: 353 (1973)
    [28] R. F. Casten and D.D. Warner, Rev. Mod. Phys., 60: 389 (1988)
    [29] A. Arima and F. Iachello, The Interacting Boson Model (Cambridge: Cambridge University press, 1987)
    [30] E. A. McCutchan and N. V. Zamfir, Phys. Rev. C, 71: 054306 (2005)
    [31] H. H.Kassim and F. I. Sharrad, Int. J. Mod. Phys. E, 23(11): 1450070 (2014)
    [32] K. S. Karne and R. M. Steffen, Phys. Rev. C, 2: 724 (1970)
    [33] F. I. Sharrad, H. Y. Abdullah, N. Al-Dahan, N. M. Umran, A. A. Okhunov, and H. A. Kassim, Chin. Phys. C, 37: 034101 (2013)
    [34] A. A. Okhunov, F. I. Sharrad, Anwer A. Al-Sammarraie, and M. U. Khandaker, Chin Phys. C, 39: 084101 (2015)
    [35] J. E. Garcia and K. Heyde, Nucl. Phys. A, 825: 39 (2009)
    [36] K. S. Krane, Introductory Nuclear Physics (New York: Johen Wiley and Sons, 1988)
    [37] R. F. Casten and D. D. Warner, Algebraic Approaches to Nuclear Structure. Interacting Boson and Fermion Models (USA: Harwood academic publishers, 1993)
    [38] V. Devi, Turk. J. Phys., 37: 330 (2013)
    [39] R. F. Casten, Nuclear Structure from a Simple Perspective (New York: Oxford Science Publication, 2000)
    [40] R. F. Casten et al, Phys. Rev. C, 76: 024306 (2007)
    [41] O. Scholten, Computer code PHINT, KVI (Holland: Groningen, 1980)
    [42] L. M. Robledo el al, Phys. Rev. C, 77: 064322 (2009)
    [43] D. Bonatsos, Interacting Boson Models of Nuclear Structure (Ed. David, Stanford, New York: Oxford University Press, 1988)
  • [1] K. Nomura, T. Otsuka, N. Shimizu, and Lu Guo, Phys. Rev. C, 83: 041302(R) (2011)
    [2] A. Bohr and B. R. Mottelson, Nuclear Structure, Vols. 1 and 2 (Benjamin, New York, 1969/1975)
    [3] P. Ring and P. Schuck, The Nuclear Many-Body Problem (Berlin: Springer, 1980)
    [4] F. Iachello and A. Arima, The Interacting Boson Model (Cambridge: Cambridge University Press, 1987)
    [5] M. S. Nadirbekov and G. A. Yuldasheva, Int. J. of Mod. Phys. E, 23: 1450034 (2014)
    [6] A. Couture, R. F. Casten and R. B. Cakirli, Phys. Rev. C, 91: 014312 (2015)
    [7] Ji-Wei Cui et al, Phys. Rev. C, 90: 014321 (2014)
    [8] H. G. Ganev, Phys. Rev. C, 89: 054311 (2014)
    [9] Bing-Nan Lu, Phys. Rev. C, 89: 014323 (2014)
    [10] P. Jachimowicz, M. Kowal, and J. Skalski, Phys. Rev. C, 85: 034305 (2012)
    [11] A. Frank and P. Van Isacker, Algebraic Methods in Molecular and Nuclear Structure Physics (New York: Wiley, 1994)
    [12] T. Otsuka, A. Arima, F. Iachello, and I. Talmi, Phys. Lett. B, 76: 139 (1978); T. Otsuka, A. Arima, and F. Iachello, Nucl. Phys. A, 309: 1 (1978)
    [13] T. Mizusaki and T. Otsuka, Prog. Theor. Phys. Suppl., 125: 97 (1997)
    [14] K. Nomura, N. Shimizu, and T. Otsuka, Phys. Rev. Lett., 101: 142501 (2008)
    [15] T. Otsuka, Phys. Lett. B, 138: 1 (1984)
    [16] N. Minkov, S. B. Drenska, P. P. Raychev, R. P. Roussev, and D. Bonatsos, Phys. Rev. C, 064301: 61 (2000)
    [17] D. Bonatsos, Phys. Lett. B, 200: 1 (1988)
    [18] C. A. Fields, K. H. Hicks, and R. J. Peterson, Nucl. Phys. A, 431: 473 (1984)
    [19] M. S. Nadirbekov and G. A. Yuldashevs. Inter. J. Mod. Phys. E, 23: 5 (2014)
    [20] K. Nomura, D. Vretenar, and B.-N. Lu, Phys. Rev. C, 88: 021303 (R) (2013)
    [21] Z.P. Li, B. Y. Song, J. M. Yao, D. Vretenar, and J. Meng, Phys. Lett. B, 726: 866 (2013)
    [22] K. Nomura, D. Vretenar, T. Niki, and B.-N. Lu, Phys. Rev. C, 89: 024312 (2014)
    [23] A. Arima and F. Iachello, Ann. Phys. NY, 123: 468 (1979)
    [24] A. Arima and F. Iachello, Ann. Rev. Nucl. Part. Sci., 31: 75 (1981)
    [25] R. F. Casten and D. D. Warner, Rev. Mod. Phys., 60: 391 (1988)
    [26] K. Kumar and M. Baranger, Nucl. Phys. A, 92: 608 (1976)
    [27] R. A. Sorenson, Rev. Mod. Phys., 45: 353 (1973)
    [28] R. F. Casten and D.D. Warner, Rev. Mod. Phys., 60: 389 (1988)
    [29] A. Arima and F. Iachello, The Interacting Boson Model (Cambridge: Cambridge University press, 1987)
    [30] E. A. McCutchan and N. V. Zamfir, Phys. Rev. C, 71: 054306 (2005)
    [31] H. H.Kassim and F. I. Sharrad, Int. J. Mod. Phys. E, 23(11): 1450070 (2014)
    [32] K. S. Karne and R. M. Steffen, Phys. Rev. C, 2: 724 (1970)
    [33] F. I. Sharrad, H. Y. Abdullah, N. Al-Dahan, N. M. Umran, A. A. Okhunov, and H. A. Kassim, Chin. Phys. C, 37: 034101 (2013)
    [34] A. A. Okhunov, F. I. Sharrad, Anwer A. Al-Sammarraie, and M. U. Khandaker, Chin Phys. C, 39: 084101 (2015)
    [35] J. E. Garcia and K. Heyde, Nucl. Phys. A, 825: 39 (2009)
    [36] K. S. Krane, Introductory Nuclear Physics (New York: Johen Wiley and Sons, 1988)
    [37] R. F. Casten and D. D. Warner, Algebraic Approaches to Nuclear Structure. Interacting Boson and Fermion Models (USA: Harwood academic publishers, 1993)
    [38] V. Devi, Turk. J. Phys., 37: 330 (2013)
    [39] R. F. Casten, Nuclear Structure from a Simple Perspective (New York: Oxford Science Publication, 2000)
    [40] R. F. Casten et al, Phys. Rev. C, 76: 024306 (2007)
    [41] O. Scholten, Computer code PHINT, KVI (Holland: Groningen, 1980)
    [42] L. M. Robledo el al, Phys. Rev. C, 77: 064322 (2009)
    [43] D. Bonatsos, Interacting Boson Models of Nuclear Structure (Ed. David, Stanford, New York: Oxford University Press, 1988)
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N. Al-Dahan. Descriptive study of the even-even actinide nuclei 230-234Th isotopes using IBM-1[J]. Chinese Physics C, 2017, 41(6): 064105. doi: 10.1088/1674-1137/41/6/064105
N. Al-Dahan. Descriptive study of the even-even actinide nuclei 230-234Th isotopes using IBM-1[J]. Chinese Physics C, 2017, 41(6): 064105.  doi: 10.1088/1674-1137/41/6/064105 shu
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Descriptive study of the even-even actinide nuclei 230-234Th isotopes using IBM-1

    Corresponding author: N. Al-Dahan,
  • 1. Department of Physics, College of Science, University of Kerbala, 56001 Kerbala, Iraq

Abstract: The nuclear structure of the actinide even-even thorium isotopes from A=230-234 have been investigated within the framework of the Interacting Boson Model (IBM-1). Predictions are given for the excited state energies for the ground state, β and γ -bands, the transition probabilities between these states, the rotational moment of inertia, and the energy staggering in the γ-band energies. The results of these calculations are compared with the experimental data on these isotopes.

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