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 TMF, 1977, Volume 32, Number 1, Pages 134–144 (Mi tmf3145)

One-phonon states in deformed nuclei with isoscalar and isovector interactions

L. A. Malov, V. O. Nesterenko, V. G. Solov'ev

Abstract: Extension of the formulas describing the one-phonon states of complicated even-even deformed nuclei to the case when the isoscalar and isovector multipole-multipole forces are taken into account, is given. The formalism presented makes it possible to obtain an unified description of the low-lying states and gigantic multipole resonances. Procedure is developed which makes it possible to write down the reduced probability $B(E\lambda; 0^+0\to I_{f}^{\pi_f}K_f)$ and the energetically weighted sum rule in the form of force functions averaged over certain interval of energies. This procedure simplifies the calculations significantly and makes it possible to avoid solving the secular equation for energies of one-photon states.

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English version:
Theoretical and Mathematical Physics, 1977, 32:1, 646–652

Citation: L. A. Malov, V. O. Nesterenko, V. G. Solov'ev, “One-phonon states in deformed nuclei with isoscalar and isovector interactions”, TMF, 32:1 (1977), 134–144; Theoret. and Math. Phys., 32:1 (1977), 646–652

Citation in format AMSBIB
\Bibitem{MalNesSol77}
\by L.~A.~Malov, V.~O.~Nesterenko, V.~G.~Solov'ev
\paper One-phonon states in deformed nuclei with isoscalar and isovector interactions
\jour TMF
\yr 1977
\vol 32
\issue 1
\pages 134--144
\mathnet{http://mi.mathnet.ru/tmf3145}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 32
\issue 1
\pages 646--652
\crossref{https://doi.org/10.1007/BF01041442}

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This publication is cited in the following articles:
1. I. N. Mikhailov, Kh. L. Molina, R. G. Nazmitdinov, “Strength-function algorithm for stationary problems”, Theoret. and Math. Phys., 42:2 (1980), 166–172
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