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States with K/sup $pi$/ = 1$sup +$ and their contribution to the isoscalar E2-resonance (in Russian)

Technical Report ·
OSTI ID:4937658
;
The RPA method of restoration of the rotational invariance for deformed self-consistent field was used to obtain a consistent description of both the rotational branch of excitation and the intrinsic states with K/sup pi /= 1/sup +/. The method reproduces all the cranking-model results for the rotational states but in addition to that it allows one to connect the characteristics of the effective isoscalar quadrupole-like interactions with the angular momentum matrix elements of the deformed field. Hence, the equation for the energy of 1/ sup +/ excitations involves no additional parameters besides those for the deformed field. The static effective charges for E2-transitions with DELTA K = 1 are determined from the contribution of the ground band rotational 2/sup +/ state to the energy-weighted sum rule, and they are found to be of the order e/ sup (p),/ 1.1 -- 1.2 and e/sup (n)/ approximates 0.1 - 0.2. From calculations of the energy-weighted sum rule for E2-transitions it is found that in the rare- earth nuclei E2-transitions with DELTA K = 1 exhaust about 70% of the model- independent estimate S/sub E2,T=0/, the rest being shared among 2/sup +/ states with K = 0 and 2. The rotational 2/sup +/ state contains less than a half of the total strength of E2 ( DELTA K = 1) transitions without change of the principal quantum number ( DELTA N = 0). The rest of this strength is shared among 1/sup +/ excitations in the energy region 2 to 6 MeV, and it gives rise to the dynamic effective charges for E2 ( DELTA K = 1) transitions in odd-mass nuclei. The E2 ( DELTA K = 1) transitions with DELTA N = 2 give the main contribution to the sum rule. The calculated strength function for E2 transitions shows a maximum located in the energy region 12.5 to 14 MeV, which represents the K = 1 part of the isoscalar E2 resonance. The 1/sup +/ states in this region exhaust about 15 to 20% of S/sub E2,T=0/. The isovector spin-spin forces were included in calculations. The calculated strength function for M1 transitions shows a maximum in the energy region 7to 9 MeV, where the M1-resonance is expected to occur. (auth)
Research Organization:
Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Theoretical Physics
Sponsoring Organization:
Sponsor not identified
NSA Number:
NSA-29-019746
OSTI ID:
4937658
Report Number(s):
JINR--P4-7517
Country of Publication:
USSR
Language:
Russian

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