TY - JOUR
T1 - Sum rules for nuclear excitations with the Skyrme-Landau interaction
AU - Liu, Keh Fei
AU - Luo, Hong De
AU - Ma, Zhongyu
AU - Feng, Man
AU - Shen, Qing Biao
PY - 1991/11/11
Y1 - 1991/11/11
N2 - The energy-weighted sum rules for electric, magnetic, Fermi and Gamow-Teller transitions with the Skyrme-Landau interaction are derived from the double commutators and numerically calculated in a HF+RPA formalism. As a numerical check of the Thouless theorem, our self-consistent calculations show that the calculated RPA strengths exhaust more than 85% of the sum rules in most cases. The well known non-energy-weighted sum rules for Fermi and Gamow-Teller transitions are also checked numerically. The sum rules are exhausted by more than 94% in these cases.
AB - The energy-weighted sum rules for electric, magnetic, Fermi and Gamow-Teller transitions with the Skyrme-Landau interaction are derived from the double commutators and numerically calculated in a HF+RPA formalism. As a numerical check of the Thouless theorem, our self-consistent calculations show that the calculated RPA strengths exhaust more than 85% of the sum rules in most cases. The well known non-energy-weighted sum rules for Fermi and Gamow-Teller transitions are also checked numerically. The sum rules are exhausted by more than 94% in these cases.
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U2 - 10.1016/0375-9474(91)90557-M
DO - 10.1016/0375-9474(91)90557-M
M3 - Article
AN - SCOPUS:0005630866
SN - 0375-9474
VL - 534
SP - 48
EP - 57
JO - Nuclear Physics, Section A
JF - Nuclear Physics, Section A
IS - 1
ER -