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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

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2018 Impact Factor: 2.483

Front. Phys.    2018, Vol. 13 Issue (6) : 132102    https://doi.org/10.1007/s11467-018-0848-1
RECOLLECTION ESSAY
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.

Keywords shell model      configuration mixing      magnetic moment      interacting boson model     
Corresponding Author(s): Takaharu Otsuka   
Issue Date: 13 December 2018
 Cite this article:   
Takaharu Otsuka. How have they started? – A brief guide for pedestrians[J]. Front. Phys. , 2018, 13(6): 132102.
 URL:  
https://academic.hep.com.cn/fop/EN/10.1007/s11467-018-0848-1
https://academic.hep.com.cn/fop/EN/Y2018/V13/I6/132102
1 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
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
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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https://doi.org/10.1103/PhysRev.75.1766.2
5 M. G. Mayer and J. H. D. Jensen, Elementary Theory of Nuclear Shell Structure, New York: Wiley, 1955
6 H. Noya, A. Arima and H. Horie, Prog. Theor. Phys. Suppl. 8, 33 (1959)
https://doi.org/10.1143/PTPS.8.33
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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https://doi.org/10.1088/0370-1298/67/10/305
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
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
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
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
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
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
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
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
17 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
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
19 A. de-Shalit and I. Talmi, Nuclear Shell Theory, Academic Press, New York, 1963; Dover, Mineola, New York, 2004
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
21 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
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)
23 A. Arima, Soryushiron Kenkyu (素粒子论研究) 35, E47 (1996)
24 A. Arima, Three comments, Prog. Theor. Phys. Suppl. 125, 1 (1996) (Translated by T. Otsuka)
https://doi.org/10.1143/PTPS.125.1
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
26 A. Bohr and B. R. Mottelson, Nuclear Structure (II), W. A. Benjamin, New York, 1975 and World Scientific, Singapore, 1998
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
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
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
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
31 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
32 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
33 F. Iachello and A. Arima, The Interacting Boson Model, Cambridge: Cambridge University Press, 1987
https://doi.org/10.1017/CBO9780511895517
34 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
35 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
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
37 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
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
39 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
40 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
41 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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