Mixed Symmetry States in 92Zr and 94Mo Nuclei
DOI:
https://doi.org/10.15407/ujpe66.12.1013Keywords:
IBM-2, QPM, mixed symmetry states, B(E2), B(M1), mixing ratiosAbstract
Mixed-symmetry states of 92Zr and 94Mo isotopes are investigated with the use of the collective models, Interacting Boson Model-2 (IBM-2) and Quasiparticle Phonon Model (QPM). The energy spectra and electromagnetic transition rates for these isotopes are calculated. The results of IBM-2 and QPM are compared with available experimental data. We have obtained a satisfactory agreement, and IBM-2 gives a better description. In these isotopes, we observe a few states having a mixed symmetry such as 2+2, 2+3, 3+1, and 1+s. It is found that these isotopes have a vibrational shape corresponding to the U(5) symmetry.
References
W.D. Hamilton, A. Irback, J.P. Elliott. Mixed-symmetry interacting-boson-model states in the nuclei 140Ba, 142Ce, and 144Nd with N = 84. Phys. Rev. Lett. 53, 2469 (1984).
https://doi.org/10.1103/PhysRevLett.53.2469
N. Pietralla, P. von Brentano, A.F. Lisetskiy. Quasiparticle-phonon model and quadrupole mixed-symmetry. Progress in Particle and Nuclear Physics 60, 225 (2008).
https://doi.org/10.1016/j.ppnp.2007.08.002
K.P. Lieb, H.G. Borner, M.S. Dewey, J. Jolie, S.J. Robinson, S. Ulbig, Ch. Winter. Doppler shift attenuation lifetime measurement in 54Cr following thermal neutron capture. Phys. Lett. B 215, 50 (1988).
https://doi.org/10.1016/0370-2693(88)91068-4
W.J. Vermeer, C.S. Lim, R.H. Spear. Mixed symmetry in the vibrational nucleus 142Ce. Phys. Rev. C 38, 2982 (1988).
https://doi.org/10.1103/PhysRevC.38.2982
J.R. Vanhoy, J.M. Anthony, B.M. Haas, B.H. Benedict, B.T. Meehan, S.F. Hicks, C.M. Davoren, C.L. Lundstedt. Structural characteristics of 142Ce through inelastic neutron scattering. Phys. Rev. C 52, 2387 (1995).
https://doi.org/10.1103/PhysRevC.52.2387
E. Garrett, H. Lehmann, C.A. McGrath, Minfang Yeh, S.W. Yates. First observation of mixed-symmetry states in a good U(5) nucleus. Phys. Rev. C 54, 2259 (1996).
https://doi.org/10.1103/PhysRevC.54.2259
I. Wiedenhover, A. Gelberg, T. Otsuka, N. Pietralla, J. Gableske, A. Dewald, P. von Brentano. 2+ mixed symmetry state in the O(6)-like nucleus 128Xe. Phys. Rev. C 56, R2354 (1997).
https://doi.org/10.1103/PhysRevC.56.R2354
B. Fazekas, T. Belgya, G. Molnar, R.A. Gatenby, S.W. Yates, T. Otsuka. Level scheme and mixed-symmetry states of 134Ba from in-beam (n, n′y) measurements. Nucl. Phys. A 548, 249 (1992).
https://doi.org/10.1016/0375-9474(92)90011-8
C. Fransen, N. Pietralla, Z. Ammar, D. Bandyopadhyay, N. Boukharouba, P. von Brentano, A. Dewald, J. Gableske, A. Gade, J. Jolie, U. Kneissl, S.R. Lesher, A.F. Lisetskiy, M.T. McEllistrem, M. Merrick, H.H. Pitz, N. Warr, V. Werner, S.W. Yates. Comprehensive studies of low-spin collective excitations in 94Mo. Phys. Rev. C 67, 024307 (2003).
https://doi.org/10.1103/PhysRevC.67.024307
O. Burda, N. Botha, J. Carter, R.W. Fearick, S.V. Fortsch, C. Fransen, H. Fujita, J.D. Holt, M. Kuhar, A. Lenhardt, P. von Neumann-Cosel, R. Neveling, N. Pietralla, V.Yu. Ponomarev, A. Richter, O. Scholten, E. SiderasHaddad, F.D. Smit, J. Wambach. High-energy-resolution inelastic electron and proton scattering and the multiphonon nature of mixed-symmetry 2+ states in 94Mo. Phys. Rev. Lett. 99, 092503 (2007).
https://doi.org/10.1103/PhysRevLett.99.092503
K. Heyde, J. Sau. Symmetric and antisymmetric states: A general feature of two-component systems, Phys. Rev. C 33, 1050 (1986).
https://doi.org/10.1103/PhysRevC.33.1050
N. Lo Iudice, Ch. Stoyanov. Microscopic study of collectivity and proton-neutron symmetry in 92Zr. Phys. Rev. C 73, 037305 (2006).
https://doi.org/10.1103/PhysRevC.73.037305
N. Lo Iudice, Ch. Stoyanov, D. Tarpanov. Fine structure of proton-neutron mixed symmetry states in some N = 80 isotones. Phys. Rev. C 77, 044310 (2008).
https://doi.org/10.1103/PhysRevC.77.044310
C. Fransen, V. Werner, D. Bandyopadhyay, N. Boukharouba, S.R. Lesher, M.T. McEllistrem, J. Jolie, N. Pietralla, P. von Brentano, S.W. Yates. Investigation of lowspin states in 92Zr with the (n, n′, y ) reaction. Phys. Rev. C 71, 054304 (2005).
https://doi.org/10.1103/PhysRevC.71.054304
M. A. Franey, W.G. Love. Nucleon-nucleon t-matrix interaction for scattering at intermediate energies. Phys. Rev. C 31, 488 (1985).
https://doi.org/10.1103/PhysRevC.31.488
F. Iachello, A. Arima. The Interacting Boson Model (Cambridge Univ. Press, 1987).
https://doi.org/10.1017/CBO9780511895517
L. Talmi. Shell model foundations of the interacting boson model. Nucl. Phys. 9, 27 (1983).
https://doi.org/10.1016/0146-6410(83)90012-1
A. Arima, F. Iachello. Interacting boson model of collective states I. The vibrational limit. Ann. Phys. 99, 253 (1976).
https://doi.org/10.1016/0003-4916(76)90097-X
A. Arima, T. Otsuka, F. Iachello, I. Talmi. Collective nuclear states as symmetric couplings of proton and neutron excitations. Phys. Lett. B 66, 205 (1977).
https://doi.org/10.1016/0370-2693(77)90860-7
P. Van Isacker, G. Puddu. The Ru and Pd isotopes in the proton-neutron interacting boson model. Nucl. Phys. A 384, 125 (1980).
https://doi.org/10.1016/0375-9474(80)90549-7
V.G. Soloviev. Theory of Atomic Nuclei Quasiparticles and Phonons (Energoatomizdat, 1989; IOP, 1992).
A.P. Severyukhin, V.V. Voronov, Nguyen Van Giai. Effects of the particle-particle channel on properties of low-lying vibrational states. Phys. Rev. C 77, 024322 (2008). https://doi.org/10.1103/PhysRevC.77.024322
T. Otsulta, N. Yosbida. The IBM-2 computer program NPBOS (University of Tokyo, 1985), T. Otsuka, O. Soholten, KVI Internal Report No. 253, 1979.
C.M. Baglin. Nuclear Data Sheets for A = 92. Nuclear Data Sheets 113 (10), 2187 (2012). https://doi.org/10.1016/j.nds.2012.10.001
D. Abriola, A.A. Sonzogni. Nuclear Data Sheets for A = 94. Nuclear Data Sheets 107 (9), 2423 (2006).
https://doi.org/10.1016/j.nds.2006.08.001
R.F. Casten, D.D. Warner. The interacting boson approximation. Rev. Mod. Phys. 60, 389 (1988).
https://doi.org/10.1103/RevModPhys.60.389
M. Sambataro, O. Scholten, A.E.L. Dieperink, P. Piccitto. On magnetic dipole properties in the neutron-proton IBA model. Nucl. Phys. A 423, 333 (1984). https://doi.org/10.1016/0375-9474(84)90593-1
J. Lang, K. Kumar, J.H. Hamilton. E0-E2-M1 multipole admixtures of transitions in even-even nuclei. Rev. Mod. Phys. 54, 1 (1982). https://doi.org/10.1103/RevModPhys.54.119
Ch. Stoyanov, N. Lo Iudice. 5th Confercnce on Nuclear and Particle Physics 19-23 Nov. 2005 (Cairo, Egypt, 2005).
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