17 results on '"LEVEL DENSITIES"'
Search Results
2. Sturm Sequences and Random Eigenvalue Distributions
- Author
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Albrecht, James T, Chan, Cy P, and Edelman, Alan
- Subjects
Sturm sequences ,Random matrices ,beta-Hermite ensemble ,Eigenvalue histogramming ,Largest eigenvalue distribution ,Level densities ,Shooting eigenvectors ,Histogram variance ,Mathematical Sciences ,Information and Computing Sciences ,Numerical & Computational Mathematics - Abstract
This paper proposes that the study of Sturm sequences is invaluable in the numerical computation and theoretical derivation of eigenvalue distributions of random matrix ensembles. We first explore the use of Sturm sequences to efficiently compute histograms of eigenvalues for symmetric tridiagonal matrices and apply these ideas to random matrix ensembles such as the β-Hermite ensemble. Using our techniques, we reduce the time to compute a histogram of the eigenvalues of such a matrix from O(n2+m) to O(mn) time where n is the dimension of the matrix and m is the number of bins (with arbitrary bin centers and widths) desired in the histogram (m is usually much smaller than n). Second, we derive analytic formulas in terms of iterated multivariate integrals for the eigenvalue distribution and the largest eigenvalue distribution for arbitrary symmetric tridiagonal random matrix models. As an example of the utility of this approach, we give a derivation of both distributions for the β-Hermite random matrix ensemble (for general β). Third, we explore the relationship between the Sturm sequence of a random matrix and its shooting eigenvectors. We show using Sturm sequences that assuming the eigenvector contains no zeros, the number of sign changes in a shooting eigenvector of parameter λ is equal to the number of eigenvalues greater than λ. Finally, we use the techniques presented in the first section to experimentally demonstrate a O(log n) growth relationship between the variance of histogram bin values and the order of the β-Hermite matrix ensemble. © SFoCM 2008.
- Published
- 2009
3. Nuclear level densities and gamma-ray strength functions in samarium isotopes
- Author
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Naqvi, F., Simon, A., Guttormsen, M., Schwengner, R., Frauendorf, S., Reingold, C. S., Burke, J. T., Cooper, N., Hughes, R. O., Humby, P., Koglin, J., Ota, S., Saastamoinen, A., Naqvi, F., Simon, A., Guttormsen, M., Schwengner, R., Frauendorf, S., Reingold, C. S., Burke, J. T., Cooper, N., Hughes, R. O., Humby, P., Koglin, J., Ota, S., and Saastamoinen, A.
- Abstract
The gamma-strength functions and level densities of in the quasi-continuum of 147,149Sm isotopes have been extracted from particle-gamma coincidences using the Oslo method. The nuclei of interest were populated via (p,d) reactions on pure 148,150Sm targets and the reaction products were recorded by the HYPERION array. An upbend in the gSF has been observed. The systematic analysis of the gSF for a range of Sm isotopes show that the scissors mode and the upbend compete with each other. Shell model calculations show a very good agreement with the experimental gSFs and confirm the competition between the upbend and scissors mode.
- Published
- 2019
4. Prompt and delayed spectroscopy of 203At : Observation of a shears band and a 29/2+ isomeric state
- Author
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Auranen, Kalle, Uusitalo, Juha, Juutinen, Sakari, Badran, Hussam, Bisso, F. Defranchi, Cox, Daniel, Grahn, Tuomas, Greenlees, Paul, Herzan, Andrej, Jakobsson, U., Julin, Rauno, Konki, Joonas, Leino, Matti, Lightfoot, A., Mallaburn, M. J., Neuvonen, O., Pakarinen, Janne, Papadakis, Philippos, Partanen, Jari, Rahkila, Panu, Sandzelius, Mikael, Sarén, Jan, Scholey, Catherine, Sorri, Juha, Stolze, Sanna, and Wang, Y. K.
- Subjects
level densities ,nuclear spin ,electromagnetic transitions ,nuclear density functional theory ,tiheysfunktionaaliteoria ,spektroskopia ,lifetimes ,widths ,energy levels ,Nuclear Experiment ,isomer decays ,ydinfysiikka ,nuclear parity - Abstract
Using fusion-evaporation reactions, a gas-filled recoil separator, recoil-gating technique and recoil-isomer decay tagging technique we have extended the level scheme of 203 At ( N = 118 ) significantly. We have observed an isomeric [ τ = 14.1 ( 3 ) μ s ] state with a spin and parity of 29 / 2 + . The isomeric state is suggested to originate from the π ( h 9 / 2 ) ⊗ ∣ ∣ 202 Po ; 11 − ⟩ coupling, and it is depopulated through 286 keV E 2 and 366 keV E 3 transitions. In addition, we have observed a cascade of magnetic-dipole transitions which is suggested to be generated by the shears mechanism. peerReviewed
- Published
- 2018
5. In-beam spectroscopic study of $^{244}$Cf
- Author
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Konki, J., Sulignano, B., Greenlees, P. T., Theisen, Ch., Auranen, K., Badran, H., Briselet, R., Cox, D. M., Bisso, F. Defranchi, Dobaczewski, Jacek Jan, Grahn, T., Herzan, A., Herzberg, R.-D., Julin, R., Juutinen, S., Khuyagbaatar, J., Leino, M., Lightfoot, A., Pakarinen, J., Papadakis, P., Partanen, J., Rahkila, P., Sandzelius, M., Saren, J., Scholey, C., Shi, Y., Smolen, M., Sorri, J., Stolze, S., Uusitalo, J., Institut de Recherches sur les lois Fondamentales de l'Univers (IRFU), and Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay
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level densities ,alpha decay ,electromagnetic transitions ,Nuclear Theory ,lifetimes ,widths ,ddc:530 ,energy levels ,[PHYS.NEXP]Physics [physics]/Nuclear Experiment [nucl-ex] ,ydinfysiikka ,Nuclear Experiment - Abstract
The ground-state rotational band of the neutron-deficient californium ( Z = 98 ) isotope 244 Cf was identified for the first time and measured up to a tentative spin and parity of I π = 20 + . The observation of the rotational band indicates that the nucleus is deformed. The kinematic and dynamic moments of inertia were deduced from the measured γ -ray transition energies. The behavior of the dynamic moment of inertia revealed an up-bend due to a possible alignment of coupled nucleons in high- j orbitals starting at a rotational frequency of about ℏ ω = 0.20 MeV . The results were compared with the systematic behavior of the even-even N = 146 isotones as well as with available theoretical calculations that have been performed for nuclei in the region. peerReviewed
- Published
- 2018
- Full Text
- View/download PDF
6. Prompt and delayed spectroscopy of 203At : Observation of a shears band and a 29/2+ isomeric state
- Subjects
level densities ,nuclear spin ,ta114 ,electromagnetic transitions ,nuclear density functional theory ,tiheysfunktionaaliteoria ,spektroskopia ,lifetimes ,widths ,energy levels ,ydinfysiikka ,isomer decays - Published
- 2018
7. Evidence of chiral bands in even-even nuclei
- Author
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Pengwei Zhao, Jan Sarén, E. Dupont, Panu Rahkila, M. L. Liu, C. M. Petrache, József Tímár, Mikael Sandzelius, A. Tucholski, Paul Greenlees, Sakari Juutinen, Yarong Wang, Jari Partanen, O. Aktas, H. Badran, Janne Pakarinen, Corina Andreoiu, Tuomas Grahn, Kaihang Wang, István Kuti, Jie Meng, S. Matta, Joonas Konki, P. Subramaniam, Shishu Zhang, A. Ertoprak, X. H. Zhou, Philippos Papadakis, Huan Liu, Juha Uusitalo, Bo Cederwall, Song Guo, Sanna Stolze, Juha Sorri, Z. X. Ren, A. Astier, Rauno Julin, B. F. Lv, J. Srebrny, Catherine Scholey, Daniel Cox, Centre de Sciences Nucléaires et de Sciences de la Matière (CSNSM), Université Paris-Sud - Paris 11 (UP11)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université Paris-Sud - Paris 11 (UP11)
- Subjects
Physics ,level densities ,ta114 ,010308 nuclear & particles physics ,High Energy Physics::Lattice ,High Energy Physics::Phenomenology ,[PHYS.NEXP]Physics [physics]/Nuclear Experiment [nucl-ex] ,01 natural sciences ,Molecular physics ,nuclear structure and decays ,medicine.anatomical_structure ,electromagnetic transitions ,Physical Sciences ,0103 physical sciences ,medicine ,Fysik ,collective levels ,energy levels ,010306 general physics ,Nucleus - Abstract
Evidence for chiral doublet bands has been observed for the first time in the even-even nucleus 136 Nd . One chiral band was firmly established. Four other candidates for chiral bands were also identified, which can contribute to the realization of the multiple pairs of chiral doublet bands ( M χ D ) phenomenon. The observed bands are investigated by the constrained and tilted axis cranking covariant density functional theory (TAC-CDFT). Possible configurations have been explored. The experimental energy spectra, angular momenta, and B ( M 1 ) / B ( E 2 ) values for the assigned configurations are globally reproduced by TAC-CDFT. Calculated results support the chiral interpretation of the observed bands, which correspond to shapes with maximum triaxiality induced by different multiquasiparticle configurations in 136 Nd . peerReviewed
- Published
- 2018
- Full Text
- View/download PDF
8. In-beam spectroscopic study of 244Cf
- Subjects
level densities ,ta114 ,alpha decay ,electromagnetic transitions ,lifetimes ,widths ,energy levels ,ydinfysiikka - Published
- 2018
- Full Text
- View/download PDF
9. Shape coexistence in the odd-odd nucleus 98Y : the role of the g9/2 neutron extruder
- Subjects
level densities ,width ,ta114 ,lifetimes ,energy levels ,isomer decays ,nuclear structure and decayss - Published
- 2017
10. Shape coexistence in the odd-odd nucleus 98Y : the role of the g9/2 neutron extruder
- Author
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Urban, W., Czerwinski, M., Kurpeta, J., Rzaca-Urban, T., Wisniewski, J., Materna, T., Iskra, L. W., Smith, A. G., Ahmad, I., Blanc, A., Faust, H., Köster, U., Jentschel, M., Mutti, P., Soldner, T., Simpson, G. S., Pinston, J. A., France, G. de, Ur, C. A., Elomaa, Viki-Veikko, Eronen, Tommi, Hakala, Jani, Jokinen, Ari, Kankainen, Anu, Moore, Iain, Rissanen, Juho, Saastamoinen, Antti, Szerypo, Jerzy, Weber, Christine, and Äystö, Juha
- Subjects
level densities ,leveys ,lifetimes ,energy levels ,isomer decays ,nuclear structure and decayss - Abstract
Excited states in 98Y, populated in neutron-induced fission of 235U and in spontaneous fission of 248Cm and 252Cf, have been studied by means of γ spectroscopy using the Lohengrin fission-fragment separator at ILL Grenoble and the EXILL, Eurogam2, and Gammasphere Ge arrays. Two new isomers have been found in 98Y: a deformed one with T1/2 = 180(7) ns and a rotational band on top of it, and a spherical one with T1/2 = 0.45(15)μs, analogous to the 8+ isomer in 96Y, corresponding to the (νg7/2,πg9/2)8+ spherical configuration. Using the JYFLTRAP Penning trap, an accurate excitation energy of 465.7(7) keV has been determined for the 2.36-s isomer in 98Y. This result and the studies of excited levels in 98Zr, populated in β− decay of the isomer, indicate a new spin-parity, I π = (7)+ for the isomer. The high spin and the decay properties of this isomer suggest the presence of the 9/2+[404] neutron extruder orbital in its structure. This is consistent with the large deformation of the isomer, reported recently. The present work does not provide arguments to support the special role of the νg7/2 - πg9/2 interaction (the spin-orbit-partner, or SOP, mechanism). peerReviewed
- Published
- 2017
11. Low-energy enhancement in the gamma-ray strength functions of 73,74Ge
- Author
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Renstrøm, T., Nyhus, H. -T., Utsumoniya, H., Schwengner, R., Goriely, S., Larsen, A. C., Filipescu, D. M., Gheorghe, I., Bernstein, L. A., Bleuel, D. L., Glodariu, T., Görgen, A., Guttormsen, M., Hagen, T. W., Kheswa, B. V., Lui, Y. -W ., Negi, D., Ruud, I. E., Shima, T., Siem, S., Takahisa, K., Tesileanu, O., Tornyi, T. G., Tveten, G. M., and Wiedeking, M.
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level densities ,Astrophysics::High Energy Astrophysical Phenomena ,Nuclear structure ,Nuclear Experiment ,nuclear reactions ,strength functiopns - Abstract
The $\gamma$-ray strength functions and level densities of $^{73,74}$Ge have been extracted up to the neutron separation energy S$_n$ from particle-$\gamma$ coincidence data using the Oslo method. Moreover, the $\gamma$-ray strength function of $^{74}$Ge above S$_n$ has been determined from photo-neutron measurements, hence these two experiments cover the range of E$_\gamma \approx$ 1-13 MeV for $^{74}$Ge. The obtained data show that both $^{73,74}$Ge display an increase in strength at low $\gamma$ energies. The experimental $\gamma$-ray strength functions are compared with $M1$ strength functions deduced from average $B(M1)$ values calculated within the shell model for a large number of transitions. The observed low-energy enhancements in $^{73,74}$Ge are adopted in the calculations of the $^{72,73}$Ge(n,$\gamma$) cross sections, where there are no direct experimental data. Calculated reaction rates for more neutron-rich germanium isotopes are shown to be strongly dependent on the presence of the low-energy enhancement.
- Published
- 2016
12. This title is unavailable for guests, please login to see more information.
- Author
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Larsen, A. C., Guttormsen, M., Schwengner, R., Bleuel, D. L., Goriely, S., Harissopulos, S., Bello Garrote, F. L., Bernstein, L. A., Byun, Y., Eriksen, T. K., Giacoppo, F., Görgen, A., Hagen, T. W., Klintefjord, M., Nyhus, H. T., Renstrøm, T., Rose, S. J., Sahin, E., Siem, S., Tornyi, T. G., Tveten, G. M., Voinov, A. V., Wiedeking, M., Larsen, A. C., Guttormsen, M., Schwengner, R., Bleuel, D. L., Goriely, S., Harissopulos, S., Bello Garrote, F. L., Bernstein, L. A., Byun, Y., Eriksen, T. K., Giacoppo, F., Görgen, A., Hagen, T. W., Klintefjord, M., Nyhus, H. T., Renstrøm, T., Rose, S. J., Sahin, E., Siem, S., Tornyi, T. G., Tveten, G. M., Voinov, A. V., and Wiedeking, M.
- Published
- 2016
13. Generalized-seniority pattern and thermal properties in even Sn isotopes
- Author
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Jia, L. Y., Qi, Chong, Jia, L. Y., and Qi, Chong
- Abstract
Even tin isotopes of mass number A = 108-124 are calculated with realistic interactions in the generalized-seniority approximation of the nuclear shell model. For each nucleus, we compute the lowest 10 000 states (5000 of each parity) up to around 8 MeV in excitation energy, by allowing as many as four broken pairs. The lowest 50 eigen energies of each parity are compared with the exact results of the large-scale shell-model calculation. The wave functions of the midshell nuclei show a clear pattern of the stepwise breakup of condensed coherent pairs with increasing excitation energy. We also compute in the canonical ensemble the thermal properties-level density, entropy, and specific heat-in relation to the thermal pairing phase transition., QC 20161118
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- 2016
- Full Text
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14. Drip-line to Drip-line Microscopic Nuclear Level Densities
- Author
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Hilaire, Stéphane, Goriely, Stéphane, Hilaire, Stéphane, and Goriely, Stéphane
- Abstract
New energy-, spin-and parity-dependent nuclear level densities based on the microscopic combinatorial model are proposed for practical applications. The combinatorial model includes a detailed microscopic calculation of the intrinsic state density and of the rotational enhancement factor, but a phenomenological treatment of the vibrational effect. The vibrational description has been improved using a boson partition function to construct phonons' state densities which are then folded in with the incoherent particle-hole densities. The present model is shown to predict the experimental s-wave neutron resonance spacings with a degree of accuracy comparable to that of the best global models available., SCOPUS: cp.p, info:eu-repo/semantics/published
- Published
- 2008
15. Temperature dependent relativistic mean field for highly excited hot nuclei
- Author
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Y. K. Gambhir, Peter Ring, J. P. Maharana, G. A. Lalazissis, and C. P. Panos
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Physics ,Nuclear and High Energy Physics ,Atomic Mass Evaluation ,Parametrization ,Level Densities ,Ground-State Properties ,Charge density ,Axially Deformed-Nuclei ,Finite Nuclei ,Mean field theory ,Skyrmes Interaction ,Hartree-Fock Calculations ,Quantum electrodynamics ,Excited state ,Atomic physics - Abstract
The temperature dependent relativistic mean field (RMF-T) results obtained by using nonlinear Lagrangian parameter set NL3 are presented for a few selected representative spherical and deformed nuclei. The calculated total binding energy (entropy) decrease (increase) as temperature (T) increases. The depths of the potentials and the single particle (sp) energies change very little with temperature. The density slightly spreads out; as a result the radius increases as temperature rises. For well deformed nuclei the shell effects disappear at around T similar to 3 MeV. This value of T is relatively higher as compared to the corresponding value of T (similar to 1.8 MeV) obtained in the Strutinsky-type calculations. This difference in the value of T is shown to be due to the use of the effective nucleon mass (< the bare mass) appearing in the Skyrme III interaction or emerging from the RMF Lagrangian.
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- 2000
- Full Text
- View/download PDF
16. The nucleus ^198 Au investigated with neutron capture and transfer reactions. II. Construction of the level scheme and calculation of level densities
- Author
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Mayerhofer, Ulrich, Von Egidy, Till, Klora, Jörg, Lindner, Helmut, Börner, Hans G., Judge, Stephen, Krusche, Bernd, Robinson, Stephen, Schreckenbach, Klaus, Sukhovoj, Anatoly M., Khitrov, Valery A., Boneva, Stefka T., Paar, Vladimir, Brant, Slobodan, and Pezer, Robert
- Subjects
Condensed Matter::Quantum Gases ,PRIRODNE ZNANOSTI. Fizika ,NATURAL SCIENCES. Physics ,nuclear structure ,198Au ,level scheme ,level densities - Abstract
The level scheme of 198Au was constructed. Up to 1560 keV a total of 111 (d,p) and 125 (n,γ) levels was included, frequently with spin and parity assignments. The results for level densities are calculated in interacting boson–fermion–fermion model (IBFFM) and Gaussian polynomial method (GPM) and are compared to the present data., Sastavljena je shema raspada 198Au. Do energije uzbude od 1560 keV, uključeno je 111 stanja određenih (d,p) reakcijom i 125 stanja (n,γ) reakcijom. Za mnoga stanja određeni su momenti impulsa i parnost. Primjenom modela uzajamno djelujućih bozon–fermion–fermiona i metode Gaussovih polinoma, izračunate su gustoće stanja i uspoređene s izmjerenim vrijednostima.
- Published
- 1996
17. Spectral distributions in nuclei: General principles and applications
- Author
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Kota, V K B and Kar, K
- Published
- 1989
- Full Text
- View/download PDF
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