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Prog. Theor. Phys. Supplement Extra Number (1968) pp. 489-494

Note on the Rotational States in Large Single j-Shell

Akito Arima

Physics Department, Brookhaven National Laboratory, Upton, New York, U.S.A.
and
Department of Physics, State University of New York, Stony Brook, New York, U.S.A.

(Received November 25, 1968)

Abstract:

Providing j ≫1 and J ≪2j + 1, we prove that H_int = -(U⁽²⁾ U⁽²⁾) - 3(U⁽¹⁾ U⁽¹⁾) can commute approximately with U(2); [H_int, U⁽²⁾] ≃ 0.
This is the simplest explanation of why the rotational state comes out in a large single j-shell under the quadrupole-quadrupole interaction (U⁽²⁾U⁽²⁾).

URL : http://ptp.ipap.jp/link?PTPS/E68/489/
DOI : 10.1143/PTPS.E68.489

[ Full Text PDF : FREE ACCESS (401K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. W. Mulhall and L. Sips, Nucl. Phys. 57 (1964), 565[CrossRef].
2. M. Nomura and A. Arima to be published, and private communication from Nomura. The author would like to express his thanks to Dr. Nomura for his communications.
3. T. Marumori,Y. Shono, M. Yamada, A. Tokunaga and Y. Miyanishi, Phys. Lett. B 25 (1967), 249[CrossRef].
4. M. Kobayasi and T. Marumori, Prog. Theor. Phys. 23 (1960), 387[PTP].
   T. Marumori, Prog. Theor. Phys. 24 (1960), 331[PTP].
5. M. Baranger, Phys. Rev. 120 (1960), 957[APS].
6. A. Arima and M. Ichimura, Prog. Theor. Phys. 36 (1966), 296[PTP].
7. J. P. Elliott, Proc. R. Soc. A 245 (1958), 128; ibid. 245 (1958), 562.

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