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Author |
Caroca, R.; Kondrashuk, I.; Merino, N.; Nadal, F. |
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Title |
Bianchi spaces and their three-dimensional isometries as S-expansions of two-dimensional isometries |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume  |
46 |
Issue |
22 |
Pages |
225201 - 24pp |
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Abstract |
In this paper we show that certain three-dimensional isometry algebras, specifically those of type I, II, III and V (according to Bianchi's classification), can be obtained as expansions of the isometries in two dimensions. In particular, we use the so-called S-expansionmethod, which makes use of the finite Abelian semigroups, because it is the most general procedure known until now. Also, it is explicitly shown why it is impossible to obtain the algebras of type IV, VI-IX as expansions from the isometry algebras in two dimensions. All the results are checked with computer programs. This procedure shows that the problem of how to relate, by an expansion, two Lie algebras of different dimensions can be entirely solved. In particular, the procedure can be generalized to higher dimensions, which could be useful for diverse physical applications, as we discuss in our conclusions. |
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Address |
Univ Catolica Santisima, Dept Matemat & Fis Aplicadas, Concepcion, Chile, Email: nelson.merino@ucv.cl |
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Publisher |
Iop Publishing Ltd |
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English |
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ISSN |
1751-8113 |
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Notes |
WOS:000319044900004 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1457 |
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Author |
Andrianopoli, L.; Merino, N.; Nadal, F.; Trigiante, M. |
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Title |
General properties of the expansion methods of Lie algebras |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
46 |
Issue |
36 |
Pages |
365204 - 33pp |
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Keywords |
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Abstract |
The study of the relation between Lie algebras and groups, and especially the derivation of new algebras from them, is a problem of great interest in mathematics and physics, because finding a new Lie group from an already known one also means that a new physical theory can be obtained from a known one. One of the procedures that allow us to do so is called expansion of Lie algebras, and has been recently used in different physical applications-particularly in gauge theories of gravity. Here we report on further developments of this method, required to understand in a deeper way their consequences in physical theories. We have found theorems related to the preservation of some properties of the algebras under expansions that can be used as criteria and, more specifically, as necessary conditions to know if two arbitrary Lie algebras can be related by some expansion mechanism. Formal aspects, such as the Cartan decomposition of the expanded algebras, are also discussed. Finally, an instructive example that allows us to check explicitly all our theoretical results is also provided. |
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Address |
[Andrianopoli, L.; Nadal, F.; Trigiante, M.] Politecn Torino, Dipartimento Sci Applicata & Tecnol DISAT, I-10129 Turin, Italy, Email: nelson.merino@ucv.cl |
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Publisher |
Iop Publishing Ltd |
Place of Publication |
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Language |
English |
Summary Language |
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Series Editor |
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Abbreviated Series Title |
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Series Volume |
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ISSN |
1751-8113 |
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Conference |
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Notes |
WOS:000323421800008 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1560 |
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Author |
Szilner, S. et al; Gadea, A. |
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Title |
Transfer Reaction Studies with Spectrometers |
Type |
Journal Article |
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Year |
2013 |
Publication |
Acta Physica Polonica B |
Abbreviated Journal |
Acta Phys. Pol. B |
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Volume |
44 |
Issue |
3 |
Pages |
417-426 |
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Keywords |
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Abstract |
The revival of transfer reaction studies benefited from the construction of the new generation large solid angle spectrometers, coupled to large gamma arrays. The recent results of gamma-particle coincident measurements in Ca-40+Zr-96 and Ar-40+Pb-208 reactions demonstrate a strong interplay between single-particle and collective degrees of freedom that is pertinent to the reaction dynamics. The development of collectivity has been followed in odd Ar isotopes populated in the Ar-40+Pb-208 reaction through the excitation of the 11/2(-) states, understood as the coupling of single particle degrees of freedom to nuclear vibration quanta. Pair transfer modes is another important degree of freedom which is presently being studied with Prisma in inverse kinematics at energies far below the Coulomb barrier. First results from the Zr-96+Ca-40 reaction elucidate the role played by nucleon-nucleon correlation. |
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Address |
Rudjer Boskovic Inst, Zagreb, Croatia |
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Publisher |
Wydawnictwo Uniwersytetu Jagiellonskiego |
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English |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0587-4254 |
ISBN |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000317703400026 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1403 |
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Author |
Bottoni, S.; Benzoni, G.; Leoni, S.; Montanari, D.; Bracco, A.; Vigezzi, E.; Azaiez, F.; Corradi, L.; Bazzacco, D.; Farnea, E.; Gadea, A.; Szilner, S.; Pollarolo, G. |
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Title |
Reaction dynamics and gamma spectroscopy of Ne isotoopes by the heavy ion reaction Ne-22+Pb-208 |
Type |
Journal Article |
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Year |
2013 |
Publication |
Acta Physica Polonica B |
Abbreviated Journal |
Acta Phys. Pol. B |
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Volume |
44 |
Issue |
3 |
Pages |
457-461 |
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Keywords |
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Abstract |
The heavy ion reaction Ne-22+Pb-208 at 128 MeV beam energy has been studied using the PRISMA-CLARA experimental setup at Legnaro National Laboratories. Aim of the experiment is the measurement of elastic, inelastic and one nucleon transfer cross sections. The data are presented in parallel with similar results for the unstable Ne-24 nucleus, using existing data from the reaction Ne-24+Pb-208 at 182 MeV (measured at SPIRAL with the VAMOS-EXOGAM setup). A comparison with angular distributions obtained by semiclassical and DWBA predictions for the quadrupole deformation parameter is also discussed. In particular, the DWBA analysis allowed to determine the beta(C)(2) charge deformation parameter both in Ne-22 and Ne-24. |
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Address |
Univ Milan, Milan, Italy |
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Publisher |
Wydawnictwo Uniwersytetu Jagiellonskiego |
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Language |
English |
Summary Language |
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Original Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0587-4254 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000317703400030 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1404 |
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Author |
Doncel, M. et al; Gadea, A.; Huyuk, T. |
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Title |
Lifetime measurements in neutron-rich Cu isotopes |
Type |
Journal Article |
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Year |
2013 |
Publication |
Acta Physica Polonica B |
Abbreviated Journal |
Acta Phys. Pol. B |
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Volume |
44 |
Issue |
3 |
Pages |
505-510 |
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Keywords |
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Abstract |
The nuclear structure of neutron-rich nuclei close to the double-magic nucleus Ni-78 has been investigated by measuring the lifetime of excited states. In this contribution, it will be presented the lifetime of the J(pi) = 7/2(-) excited state at 981 keV of the Cu-71 isotope, measured using the AGATA Demonstrator coupled to the PRISMA spectrometer and the Koln plunger setup. This is the first time this combined setup has been used for a lifetime measurement. |
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Address |
Univ Salamanca, Lab Radiac Ionizantes, E-37008 Salamanca, Spain |
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Corporate Author |
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Thesis |
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Publisher |
Wydawnictwo Uniwersytetu Jagiellonskiego |
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Language |
English |
Summary Language |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0587-4254 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000317703400039 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1405 |
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