Abstract
An analysis of \({}^{74-82}\mathrm{{Se}}\) within the framework of the interacting boson model (IBM) and the few-body aspects are presented. Selenium isotopes with mass number (A) ranging from 74 to 82 are typical vibrational nuclei that can be explained by the U(5) limit of the IBM. However, they are not fully symmetrical nuclei, and are represented by adding a perturbation term to account for the symmetry breaking. These nuclei tend to exhibit properties of a harmonic oscillator and an asymmetric deformed rotor. The low-energy level and B(E2) ratios are calculated using the IBM via direct diagonalization of the perturbed Hamiltonian and the E(5) symmetry breaking. Comparisons between the theoretical and experimental results of the even-even selenium isotopes with A ranging from 74 to 82 are presented.
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References
Arima, A., Iachello, F.: Collective nuclear states as representations of a SU(6) group. Phys. Rev. Lett. 35, 1069 (1975)
Arima, A., Iachello, F.: Interacting boson model of collective states I. The vibrational limit. Ann. Phys. 99, 253 (1976)
Arima, A., Iachello, F.: Interacting boson model of collective nuclear states II. The rotational limit. Ann. Phys. 111, 201 (1978)
Arima, A., Iachello, F.: Interacting boson model of collective nuclear states IV. The O(6) limit. Ann. Phys. 123, 468 (1979)
Iachello, F., Arima, A.: The Interacting Boson Model. Cambridge University Press, Cambridge (1987)
Casten, R.F., Von Brentano, P.: An extensive region of O(6)-like nuclei near A = 130. Phys. Lett. 152, 22 (1985)
Rikovska, J., Stone, N.J., Walters, W.B.: Dynamical symmetries in even-even Te nuclides. Phys. Rev. C 36, 2162 (1987)
Woo, Z.-H.: Master’s thesis, Busan National University (2002)
Ui, H.: SU(1,1) quasi-spin formalism of the many-boson system in a spherical field. Ann. Phys. 49, 69 (1968)
Lee, J.H., Lee, S.Y., Woo, Z.-H.: Nuclear structures of tellurium and xenon nuclei for A = 128, 130 within the Framework of the interacting boson model. SAEMULLI 65, 36 (2015)
Iachello, F.: Dynamic symmetries at the critical point. Phys. Rev. Lett. 85, 3580 (2000)
Lee, S.Y., Lee, J.H.: E(5) Critical point symmetry in \({}^{128,130}\)Xe. SAEMULLI 63, 766 (2013)
Singh, Balraj, Farhan, Ameenah R.: Nuclear data sheets for A = 74. Nucl. Data Sheets 107, 1923 (2006)
Singh, Balraj: Nuclear data sheets update for A = 76. Nucl. Data Sheets 74, 63 (1995)
Farhan, A.R., Singh, B.: Nuclear data sheets for A = 78. Nucl. Data Sheets 110, 1917 (2009)
Singh, Balraj: Nuclear data sheets for A = 80. Nucl. Data Sheets 105, 223 (2005)
Tuli, J.K.: Nuclear data sheets for A = 82. Nucl. Data Sheets 98, 209 (2003)
Radhi, F.S., Stewart, N.M.: An IBM description of 76Se and neighbouring Se-isotopes. Z. Phys. A 356, 145 (1996)
T\(\ddot{\rm u}\)rkan, N., Uluer, Y.: IBM-2 calculations of some even-even selenium nuclei. CEJP 4, 124 (2006)
B\(\ddot{\rm o}\)y\(\ddot{\rm u}\)kata, M., Uluer, I.: Investigation of some even-even selenium isotopes within the interacting boson model-2. Cent. Eur. J. Phys. 6, 518 (2008)
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This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A3A03080968).
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Lee, S.Y., Lee, Y.J., Lee, J.H. (2020). Analysis of \({}^{74-82}\mathrm{{Se}}\) Within the Framework of the IBM and the Few-Body Aspects. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_31
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DOI: https://doi.org/10.1007/978-3-030-32357-8_31
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