Coherent states and the calculation of nuclear partition functions

Civitarese, O.; Reboiro, M.; Jesgarz, S.; Hess, Peter O.

doi:10.1103/physrevc.64.054317

Cited by 5 publications

(14 citation statements)

References 10 publications

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“…The observation was confirmed using a much more massive 889-g BGO scintillating bolometer operated at the LNGS underground laboratory [84]. The experiment not only measured the half-life to the ground state transition with higher accuracy T 1/2 = (2.04 ± 0.08) × 10 19 yr, but also observed the α decay of 209 Bi to the first excited level of 205 Tl with a half-life T 1/2 = (1.4 ± 0.2) × 10 21 yr. The pure α + recoil and α + recoil + γ(conversion electron) events were clearly separated in the light channel of the detector thanks to the large enough energy of the γ rays and conversion electrons emitted in the de-excitation of the 204 keV level, and comparatively high energy resolution in the light channel (see Fig.…”

Section: Bi α Decaymentioning

confidence: 67%

“…The nuclide with the lowest experimental T 1/2 reported in this table is 234 U with the measured total half-life of (3.44 ± 0.01) × 10 [86] were set. The alpha decay to the first 3/2 + excited level of the daughter 205 Tl (E exc = 203.7 keV) was searched by using a low-background highpurity germanium (HPGe) γ spectrometry [87]; however, the experimental sensitivity, T 1/2 > 3 × 10 19 yr, was not enough to detect the process.…”

Section: Bi α Decaymentioning

confidence: 99%

“…The theoretical estimations of their half-life is far from any reasonable experimental sensitivity (see Table 1). These isotopes are: 165 Ho, four isotopes of dysprosium ( 158 Dy, 160 Dy, 161 Dy, 162 Dy), two of neodymium ( 143 Nd, 148 Nd), two of gadolinium ( 154 Gd, 155 Gd), two of thallium ( 203 Tl, 205 Tl), five of erbium ( 164 Er, 166 Er, 167 Er, 168 Er, 170 Er), 152 Sm, 197 Au, five isotopes of mercury ( 198 Hg,199 Hg, 200 Hg, 201 Hg, 202 Hg), the two isotopes of lutetium ( 175 Lu, 176 Lu), all of them because of their low Q α values (see Table 1).…”

Section: Search For Very Long Living α Decaysmentioning

confidence: 99%

“…The experimental measurement of the 123 Te half-life has important theoretical implications: very low rates are predicted if a strong (up to six orders of magnitude [269]) suppression of the nuclear matrix element is generated by the cancellation between particle-particle and particlehole correlations. An experimental study of this effect would be a severe test of the nuclear models that are used to calculate the matrix elements for rare electroweak decays [205].…”

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confidence: 99%

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Experimental searches for rare alpha and beta decays

et al. 2019

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The current status of the experimental searches for rare alpha and beta decays is reviewed. Several interesting observations of alpha and beta decays, previously unseen due to their large half-lives (10 15 − 10 20 yr), have been achieved during the last years thanks to the improvements in the experimental techniques and to the underground locations of experiments that allows to suppress backgrounds. In particular, the list includes first observations of alpha decays of 151 Eu, 180 W (both to the ground state of the daughter nuclei), 190 Pt (to excited state of the daughter nucleus), 209 Bi (to the ground and excited states of the daughter nucleus). The isotope 209 Bi has the longest known half-life of T 1/2 ≈ 10 19 yr relatively to alpha decay. The beta decay of 115 In to the first excited state of 115 Sn (Eexc = 497.334 keV), recently observed for the first time, has the Q β value of only (147 ± 10) eV, which is the lowest Q β value known to-date. Searches and investigations of other rare alpha and beta decays ( 48 Ca, 50 V, 96 Zr, 113 Cd, 123 Te, 178m2 Hf, 180m Ta and others) are also discussed.

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Section: Bi α Decaymentioning

confidence: 67%

Section: Bi α Decaymentioning

confidence: 99%

Section: Search For Very Long Living α Decaysmentioning

confidence: 99%

mentioning

confidence: 99%

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Experimental searches for rare alpha and beta decays

et al. 2019

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“…We shall show the main steps related to the calculation of the partition function, which has been performed by extending the techniques discussed in [16].…”

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confidence: 99%

Schematic model for QCD at finite temperature

et al. 2002

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Abstract:The simplest version of a class of toy models for QCD is presented. It is a Lipkin-type model, for the quark-antiquark sector, and, for the gluon sector, gluon pairs with spin zero are treated as elementary bosons. The model restricts to mesons with spin zero and to few baryonic states. The corresponding energy spectrum is discussed. We show that ground state correlations are essential to describe physical properties of the spectrum at low energies. Phase transitions are described in an effective manner, by using coherent states. The appearance of a Goldstone boson for large values of the interaction strength is discussed, as related to a collective state. The formalism is extended to consider finite temperatures. The partition function is calculated, in an approximate way, showing the convenience of the use of coherent states. The energy density, heat capacity *

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Quasiparticle resonances in the BCS approach

2006

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We present a simple method for calculating the energies and the widths of quasiparticle resonant states. The method is based on BCS equations solved in the Berggren representation. In this representation the quasiparticle resonances are associated to the Gamow states of the mean field.The method is illustrated for the case of neutron-rich nuclei 20−22 O and 84 Ni. It is shown that the contribution of the continuum coupling to the pairing correlations is small and largely dominated by a few resonant states close to the continuum threshold. * Electronic address: idbetan@ifir.edu.ar † Electronic address: sandules@ipno.in2p3.fr ‡ Electronic address: vertse@tigris.klte.hu

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Coherent states and the calculation of nuclear partition functions

Cited by 5 publications

References 10 publications

Experimental searches for rare alpha and beta decays

Experimental searches for rare alpha and beta decays

Schematic model for QCD at finite temperature

Quasiparticle resonances in the BCS approach

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