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New Glance at the Experimental Data for Low Lying Collective Excited States. (2008)
BibTeX
@MISC{Garistov08newglance,
author = {Vladimir P. Garistov},
title = {New Glance at the Experimental Data for Low Lying Collective Excited States.},
year = {2008}
}
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Abstract
Recently the classification of low-lying excited 0 + states in even even deformed nuclei has been done. The available experimental data were represented as the energies parabolic distributed by number of monopole excitations. With other words each 0 + state now is determined as the collective state with the corresponding number of monopole type phonons n. In this short remark we discuss whether the experimental data for low-lying excited states possessing not equal to zero spins can also be described with parabolic distribution function depending on integer classification parameter and find any vindication of the connection between this integer parameter and the number of collective excitations building the corresponding state. In our recent investigations [1] of the yrast lines in even-even deformed nuclei we obtained that the energies of these lines can be described with great accuracy even if we use the simple rigid rotor model but if we consider yrast line be built with several number of crossing rigid rotor bands and if we make the bands heads be responsible for the behavior of the rotational bands. With other words we make the band head be responsible for the value of the moment of inertia of the nucleus staying in corresponding excited state. We build the positive parity lines with crossing of several number of rotational β- bands starting from different excited 0 + states that we consider as their heads. To understand the peculiarities of different excited 0 + states we analyzed a great amount of experimental data for low lying excited 0 + states in even-even nuclei. We represent the available experimental data in the form of the energies of the 0 + excited states distributed by positive integer parameter and determine this classification parameter in the way giving us information about collective structure peculiarities of these states. To specify the distribution function let us consider the monopole part of collective Hamiltonian for single level approach written in terms of boson creation and annihilation operators R+, R − and R0 H = αR j +R j − + βR j 0Rj βΩj 0 + 1 2 Rj 0, (1) constructed with the pairs of fermion operators a † and a. R j 1
Keyphrases
experimental data new glance low lying collective excited state band head yrast line excited state rotational band several number available experimental data integer parameter corresponding state positive parity line recent investigation simple rigid rotor model monopole part collective structure peculiarity parabolic distribution function collective state monopole type phonons fermion operator annihilation operator great amount distribution function great accuracy low lying single level approach nucleus staying collective excitation even-even nucleus monopole excitation low-lying excited state corresponding number boson creation rigid rotor band classification parameter short remark collective hamiltonian integer classification parameter positive integer parameter
