THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF

Xu GoNG-ou

Chinese Physics C> 1981, Vol. 5> Issue(3) : 358-363

THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF

Xu GoNG-ou

Lanzhou University

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Abstract：
Considering the time-dependent generator coordinate method, the time-dependent Schrodinger equation for nuclear collective motions is obtained. It is then possible to obtain through Wigner matrix a variational expression for mean collective properties q(t) and p(t) in classical limits. Under adiabatic approximation this is just the expression by which Villars has obtained the ATDHF results.

References

[1]

a] D. L. Hill and J. A. Wheeler, Phys. Rev., 89(1953) 1102.[2b] J. J. Griffin and J. A. Wheeler, Phys. Rev., 108(1957), 311.[2] C. W. along, Phys. Rep., 15C(1975), 283.[3a] 徐躬耗,中国科学,(1974),567.[3b] 徐躬辆、王顺金、刘教植、杨亚天、毛铭德,物理学报,25(1976), 226[3c] 徐躬锅、杨亚天、王顺金,中国科学,1981年第4期.[4] P. G. Reinhard and K.Goeke, Phys. Rev., C20(1979),1546.[5] F. Villara, Nucl.Phys., AE85(L977), 269.[6] K. Goeke and P. G. Reinhard, Ann, Phys. (N. Y.),112(1978),32B.[7] 徐躬精,原子核物理,2(1980), 115.[8] H. Goldatein, Classical Mechanics, Addison-Wesley (1953).

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Xu GoNG-ou. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF[J]. Chinese Physics C, 1981, 5(3): 358-363.

Xu GoNG-ou. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF[J]. Chinese Physics C, 1981, 5(3): 358-363. shu

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Received: 1980-08-23
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF

Xu GoNG-ou

Lanzhou University

Received Date: 1980-08-23
Accepted Date: 1900-01-01
Available Online: 1981-06-05

Abstract: Considering the time-dependent generator coordinate method, the time-dependent Schrodinger equation for nuclear collective motions is obtained. It is then possible to obtain through Wigner matrix a variational expression for mean collective properties q(t) and p(t) in classical limits. Under adiabatic approximation this is just the expression by which Villars has obtained the ATDHF results.