In his classical article[3], J. Kiefer introduced the Fibonacci search as a direct optimal method. The optimality was proved under the restriction: the total number of tests is given in advance and fixed. To avoid thi...In his classical article[3], J. Kiefer introduced the Fibonacci search as a direct optimal method. The optimality was proved under the restriction: the total number of tests is given in advance and fixed. To avoid this restriction, some different concepts of optimality were proposed and some corresponding optimal methods were obtained in [1], [2], [5] and [6]. In particular, the even-block search was treated in [1]. This paper deals with the odd-block search. The main result is Theorem 1.15.展开更多
In the particle-number-conserving treatment of the cranked shell model Hamiltonian (blocking effect being taken into account exactly), the calculated even-odd differences in moments of inertia show large variation and...In the particle-number-conserving treatment of the cranked shell model Hamiltonian (blocking effect being taken into account exactly), the calculated even-odd differences in moments of inertia show large variation and depend sensitively on the location and Coriolis response of the blocked levels. The moments of inertia of the 170Yb, 171Lu [404] 7/2, [402] 5/2, [514] 9/2 and 171Yb [512] 5/2, [633] 7/2 bands at low spin are calculated and the experimental data are reproduced very well. No free parameter was involved in the calculation. The reason of the discrepancy between the observed "identical bands" at low spin and the BCS prediction is discussed.展开更多
A comprehensive analysis of the superdeformed bands observed near A≈190 indicates that there exist systematic odd-even differences in the moments of inertia similar to that observed in normally deformed nuclei, which...A comprehensive analysis of the superdeformed bands observed near A≈190 indicates that there exist systematic odd-even differences in the moments of inertia similar to that observed in normally deformed nuclei, which can be considered as compelling evidence for pairing and blocking effect in super-deformed nudei. With increasing rotational frequency the odd-even differences become weaker and weaker due to the Coriolis anti-pairing effects. Particularly, the odd-even differences in the dynamic moments of inertia become obscure when hω≥2 MeV, and in certain cases there emerges nearly identical value of J(2) for some neighboring nudei. However, the odd-even differences in the kinematic moments of inertia still remain to certain extent at the highest frequencies.展开更多
文摘In his classical article[3], J. Kiefer introduced the Fibonacci search as a direct optimal method. The optimality was proved under the restriction: the total number of tests is given in advance and fixed. To avoid this restriction, some different concepts of optimality were proposed and some corresponding optimal methods were obtained in [1], [2], [5] and [6]. In particular, the even-block search was treated in [1]. This paper deals with the odd-block search. The main result is Theorem 1.15.
文摘In the particle-number-conserving treatment of the cranked shell model Hamiltonian (blocking effect being taken into account exactly), the calculated even-odd differences in moments of inertia show large variation and depend sensitively on the location and Coriolis response of the blocked levels. The moments of inertia of the 170Yb, 171Lu [404] 7/2, [402] 5/2, [514] 9/2 and 171Yb [512] 5/2, [633] 7/2 bands at low spin are calculated and the experimental data are reproduced very well. No free parameter was involved in the calculation. The reason of the discrepancy between the observed "identical bands" at low spin and the BCS prediction is discussed.
文摘A comprehensive analysis of the superdeformed bands observed near A≈190 indicates that there exist systematic odd-even differences in the moments of inertia similar to that observed in normally deformed nuclei, which can be considered as compelling evidence for pairing and blocking effect in super-deformed nudei. With increasing rotational frequency the odd-even differences become weaker and weaker due to the Coriolis anti-pairing effects. Particularly, the odd-even differences in the dynamic moments of inertia become obscure when hω≥2 MeV, and in certain cases there emerges nearly identical value of J(2) for some neighboring nudei. However, the odd-even differences in the kinematic moments of inertia still remain to certain extent at the highest frequencies.
