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How have they started? – A brief guide for pedestrians |
Takaharu Otsuka1,2,3,4( ) |
1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan 2. Center for Nuclear Study, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan 3. RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan 4. Instituut voor Kern- en Stralingsfysica, KU Leuven, B-3001 Leuven, Belgium |
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Abstract I shall present a very brief summary of subjects selected from what Prof. Akito Arima has done in the past years. I will focus on the initial works on the configuration mixing and on the Interacting Boson Model. Since there are many literatures on these subjects, I shall concentrate what have been done at the initial or at the pre-history stages. By doing this, we shall see how Prof. Akito Arima started from the scratch.
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Keywords
shell model
configuration mixing
magnetic moment
interacting boson model
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Corresponding Author(s):
Takaharu Otsuka
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Issue Date: 13 December 2018
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A. Arima and H. Horie, Configuration mixing and magnetic moments of nuclei, Prog. Theor. Phys. 11(4), 509 (1954)
https://doi.org/10.1143/PTP.11.509
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2 |
A. Arima and H. Horie, Configuration mixing and magnetic moments of odd nuclei, Prog. Theor. Phys. 12(5), 623 (1954)
https://doi.org/10.1143/PTP.12.623
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3 |
M. G. Mayer, On closed shells in nuclei (II), Phys. Rev. 75(12), 1969 (1949)
https://doi.org/10.1103/PhysRev.75.1969
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4 |
O. Haxel, J. H. D. Jensen, and H. E. Suess, On the “magic numbers” in nuclear structure, Phys. Rev. 75(11), 1766 (1949)
https://doi.org/10.1103/PhysRev.75.1766.2
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5 |
M. G. Mayer and J. H. D. Jensen, Elementary Theory of Nuclear Shell Structure, New York: Wiley, 1955
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6 |
H. Noya, A. Arima and H. Horie, Prog. Theor. Phys. Suppl. 8, 33 (1959)
https://doi.org/10.1143/PTPS.8.33
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7 |
A. Bohr and B. R. Mottelson, Nuclear Structure (I), W. A. Benjamin, New York, 1969 and World Scientific, Singapore, 1998
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8 |
R. J. Blin-Stoyle and M. A. Perks, The deviations of nuclear magnetic moments from the Schmidt lines, Proc. Phys. Soc. Lond. A 67(10), 885 (1954)
https://doi.org/10.1088/0370-1298/67/10/305
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9 |
T. Inoue, T. Sebe, H. Hagiwara, and A. Arima, The structure of the sd-shell nuclei (I): 18C, 18F, 19O, 19F, and 20Ne, Nucl. Phys. 59(1), 1 (1964)
https://doi.org/10.1016/0029-5582(64)90110-5
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10 |
A. Arima, H. Horiuchi, and T. Sebe, Weak coupling model of particles and holes in the sdshell nuclei, Phys. Lett. B 24(3), 129 (1967)
https://doi.org/10.1016/0370-2693(67)90499-6
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11 |
A. Arima, S. Cohen, R. D. Lawson, and M. H. Macfarlane, A shell-model study of the isotopes of O, F and Ne, Nucl. Phys. A 108(1), 94 (1968)
https://doi.org/10.1016/0375-9474(68)90147-4
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12 |
Y. Akiyama, A. Arima, and T. Sebe, The structure of the sdshell nuclei, Nucl. Phys. A 138(2), 273 (1969)
https://doi.org/10.1016/0375-9474(69)90336-4
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13 |
A. Arima, M. Harvey, and K. Shimizu, Pseudo LS coupling and pseudo SU(3) coupling schemes, Phys. Lett. B 30(8), 517 (1969)
https://doi.org/10.1016/0370-2693(69)90443-2
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14 |
A. Arima, V. Gillet, and J. Ginocchio, Energies of quartet structures in even-even N= Znuclei, Phys. Rev. Lett. 25(15), 1043 (1970)
https://doi.org/10.1103/PhysRevLett.25.1043
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15 |
M. Ichimura, A. Arima, E. C. Halbert, and T. Terasawa, Alpha-particle spectroscopic amplitudes and the SU(3) model, Nucl. Phys. A 204(2), 225 (1973)
https://doi.org/10.1016/0375-9474(73)90272-8
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16 |
I. Tonozuka and A. Arima, Surface a-clustering and adecays of 212Po, Nucl. Phys. A 323(1), 45 (1979)
https://doi.org/10.1016/0375-9474(79)90415-9
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A. Arima, G. E. Brown, H. Hyuga, and M. Ichimura, Effect of exchange currents on orbital g-factors and E1 sum rule for photoabsorption, Nucl. Phys. A 205(1), 27 (1973)
https://doi.org/10.1016/0375-9474(73)90117-6
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18 |
K. Shimizu, M. Ichimura, and A. Arima, Magnetic moments and GT-type β-decay matrix elements in nuclei with a LS doubly closed shell plus or minus one nucleon, Nucl. Phys. A 226(2), 282 (1974)
https://doi.org/10.1016/0375-9474(74)90407-2
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19 |
A. de-Shalit and I. Talmi, Nuclear Shell Theory, Academic Press, New York, 1963; Dover, Mineola, New York, 2004
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20 |
E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker, The shell model as a unified view of nuclear structure, Rev. Mod. Phys. 77(2), 427 (2005)
https://doi.org/10.1103/RevModPhys.77.427
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T. Otsuka, M. Honma, T. Mizusaki, N. Shimizu, and Y. Utsuno, Monte Carlo shell model for atomic nuclei, Prog. Part. Nucl. Phys. 47(1), 319 (2001)
https://doi.org/10.1016/S0146-6410(01)00157-0
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22 |
N. Shimizu, T. Abe, Y. Tsunoda, Y. Utsuno, T. Yoshida, T. Mizusaki, M. Honma, and T. Otsuka, Prog. Theor. Exp. Phys. 2012, 01A205 (2012)
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A. Arima, Soryushiron Kenkyu (素粒子论研究) 35, E47 (1996)
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A. Arima, Three comments, Prog. Theor. Phys. Suppl. 125, 1 (1996) (Translated by T. Otsuka)
https://doi.org/10.1143/PTPS.125.1
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25 |
A. Arima and F. Iachello, Collective nuclear states as representations of a SU(6) group, Phys. Rev. Lett. 35(16), 1069 (1975)
https://doi.org/10.1103/PhysRevLett.35.1069
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26 |
A. Bohr and B. R. Mottelson, Nuclear Structure (II), W. A. Benjamin, New York, 1975 and World Scientific, Singapore, 1998
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27 |
R. F. Casten, Nuclear Structure from a Simple Perspective, Oxford: Oxford University Press, 2001
https://doi.org/10.1093/acprof:oso/9780198507246.001.0001
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28 |
L. Wilets and M. Jean, Surface oscillations in even-even nuclei, Phys. Rev. 102(3), 788 (1956)
https://doi.org/10.1103/PhysRev.102.788
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29 |
A. Klein and E. R. Marshalek, Boson realizations of Lie algebras with applications to nuclear physics, Rev. Mod. Phys. 63(2), 375 (1991)
https://doi.org/10.1103/RevModPhys.63.375
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30 |
J. P. Elliott, Collective motion in the nuclear shell model (I): Classification schemes for states of mixed configurations, Proc. R. Soc. Lond.A 245(1240), 128 (1958)
https://doi.org/10.1098/rspa.1958.0072
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A. Arima and F. Iachello, Interacting boson model of collective states (I): The vibrational limit, Ann. Phys. 99(2), 253 (1976)
https://doi.org/10.1016/0003-4916(76)90097-X
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A. Arima and F. Iachello, Interacting boson model of collective nuclear states (II): The rotational limit, Ann. Phys. 111(1), 201 (1978)
https://doi.org/10.1016/0003-4916(78)90228-2
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F. Iachello and A. Arima, The Interacting Boson Model, Cambridge: Cambridge University Press, 1987
https://doi.org/10.1017/CBO9780511895517
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A. Arima and F. Iachello, New symmetry in the sd boson model of nuclei: The group O(6), Phys. Rev. Lett. 40(6), 385 (1978)
https://doi.org/10.1103/PhysRevLett.40.385
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A. Arima and F. Iachello, Interacting boson model of collective nuclear states (IV): The O(6) limit, Ann. Phys. 123(2), 468 (1979)
https://doi.org/10.1016/0003-4916(79)90347-6
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36 |
O. Scholten, F. Iachello, and A. Arima, Interacting boson model of collective nuclear states (III): The transition from SU(5) to SU(3), Ann. Phys. 115(2), 325 (1978)
https://doi.org/10.1016/0003-4916(78)90159-8
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A. Arima, T. Ohtsuka, F. Iachello, and I. Talmi, Collective nuclear states as symmetric couplings of proton and neutron excitations, Phys. Lett. B 66(3), 205 (1977)
https://doi.org/10.1016/0370-2693(77)90860-7
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38 |
T. Otsuka, A. Arima, F. Iachello, and I. Talmi, Shell model description of interacting bosons, Phys. Lett. B 76(2), 139 (1978)
https://doi.org/10.1016/0370-2693(78)90260-5
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T. Otsuka, A. Arima, and F. Iachello, Nuclear shell model and interacting bosons, Nucl. Phys. A 309(1–2), 1 (1978)
https://doi.org/10.1016/0375-9474(78)90532-8
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T. Mizusaki and T. Otsuka, Microscopic calculations for O(6) nuclei by the interacting boson model, Prog. Theor. Phys. Suppl. 125, 97 (1996)
https://doi.org/10.1143/PTPS.125.97
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K. Nomura, N. Shimizu, and T. Otsuka, Mean-field derivation of the interacting boson model Hamiltonian and exotic nuclei, Phys. Rev. Lett. 101(14), 142501 (2008)
https://doi.org/10.1103/PhysRevLett.101.142501
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