ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

  • With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchain U5R5SU2×SU2' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chain U5R5R3 are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority number P is derived and a table of the P andI values for P≤30 is given.
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  • [1] B. F. Bayman, Some Lectures on Group and Their Application to Spectroscopy, Nordita, 1960.[2] T. Hecht, Nucl. Phys., 63(1965).117.[3] A .Arima and F. Iachllo, Ann. Phys., 99(1976), 253.[4] J. Weber et al., Z. Physik, 190(1966),25.[5] N. Kemmer et al. J. Math. Phys., 9(1968), 1224, 1230.
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Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492.
Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492. shu
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Received: 1978-07-24
Revised: 1900-01-01
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ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

  • Peking University

Abstract: With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchain U5R5SU2×SU2' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chain U5R5R3 are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority number P is derived and a table of the P andI values for P≤30 is given.

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