Nuclear masses and properties of nuclei in the vicinity of the remote magic nucleus 100Sn

Isakov, V. I.; Erokhina, K.I.

doi:10.1134/1.1501655

Cited by 16 publications

(9 citation statements)

References 31 publications

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“…This value is in reasonable agreement with recent phenomenological estimates [48]. Table IV lists the parameters of the residual interaction used in our study.…”

Section: B Two-particle Interactionsupporting

confidence: 86%

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αdecay in the complex-energy shell model

Betán

Nazarewicz

2012

Phys. Rev. C

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Background: Alpha emission from a nucleus is a fundamental decay process in which the alpha particle formed inside the nucleus tunnels out through the potential barrier. Purpose: We describe alpha decay of 212 Po and 104 Te by means of the configuration interaction approach. Method: To compute the preformation factor and penetrability, we use the complex-energy shell model with a separable T = 1 interaction. The single-particle space is expanded in a Woods-Saxon basis that consists of bound and unbound resonant states. Special attention is paid to the treatment of the norm kernel appearing in the definition of the formation amplitude that guarantees the normalization of the channel function. Results: Without explicitly considering the alpha-cluster component in the wave function of the parent nucleus, we reproduce the experimental alpha-decay width of 212 Po and predict an upper limit of T 1/2 = 5.5 × 10 −7 sec for the half-life of 104 Te. Conclusions:The complex-energy shell model in a large valence configuration space is capable of providing a microscopic description of the alpha decay of heavy nuclei having two valence protons and two valence neutrons outside the doubly magic core. The inclusion of proton-neutron interaction between the valence nucleons is likely to shorten the predicted half-live of 104 Te.

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“…This value is in reasonable agreement with recent phenomenological estimates [48]. Table IV lists the parameters of the residual interaction used in our study.…”

Section: B Two-particle Interactionsupporting

confidence: 86%

“…energies for 208 Pb and 100 Sn are given in Tables II and III, respectively. The nucleus 101 Sb is proton unbound; the values in Table III are generally consistent with systematics [48]. In particular, we predict a very small splitting between the 0g 7/2 and 1d 5/2 neutron shells outside 100 Sn, and a 0g 7/2 g.s.…”

Section: A Single-particle Spacesupporting

confidence: 76%

αdecay in the complex-energy shell model

Betán

Nazarewicz

2012

Phys. Rev. C

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“…Thus, the limits on the hypothetical E2 isomer's properties are E γ > 125 keV, α < 0.723, and T 1/2 < 210 ns. Additional T 1/2 limits could be generated from the nonobservation of other γ rays in the decay cascade, where the theoretical γ -ray energies for the 4 + → 2 + and the 2 + → 0 + transitions are 0.4(1) and 4(1) MeV, respectively [32][33][34]. Conservative estimates were obtained by minimizing H, , and R in Eq.…”

Section: G Properties Of the Hypothetical E2 Isomer In 100 Snmentioning

confidence: 99%

“…As for 100 Sn, several different calculations have suggested an isomer decaying with a low-energy E2 transition with half-lives ranging from 90 ns to 2.6 μs: large-scale shell model (LSSM) with the Nowacki-Sieja interaction in the (g,d,s) model space [31,33] used in multiple works [1,3,17,20,21,30], SM-gd5 [32], and Hartree-Fock random particle approximation (HF-RPA) [34]. While the LSSM and the SM-gd5 calculations predict the isomer's spin to be 6 + , the HF-RPA calculation proposes an 8…”

Section: Introductionmentioning

confidence: 99%

Properties of γ -decaying isomers and isomeric ratios in the Sn100 region

Park¹,

Krücken²,

Lubos³

et al. 2017

Phys. Rev. C

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Half-lives and energies of γ rays emitted in the decay of isomeric states of nuclei in the vicinity of the doubly magic 100 Sn were measured in a decay spectroscopy experiment at Rikagaku Kenkyusho (The Institute of Physical and Chemical Research) of Japan Nishina Center. The measured half-lives, some with improved precision, are consistent with literature values. Three new results include a 55-keV E2 γ ray from a new (4 + ) isomer with T 1/2 = 0.23(6) μs in 92 Rh, a 44-keV E2 γ ray from the (15 + ) isomer in 96 Ag, and T 1/2 (6 + ) = 13(2) ns in 98 Cd. Shell-model calculations of electromagnetic transition strengths in the (p 1/2 ,g 9/2 ) model space agree with the experimental results. In addition, experimental isomeric ratios were compared to the theoretical predictions derived with an abrasion-ablation model and the sharp cutoff model. The results agreed within a factor of 2 for most isomers. From the nonobservation of time-delayed γ rays in 100 Sn, new constraints on the T 1/2 , γ -ray energy, and internal conversion coefficients are proposed for the hypothetical isomer in 100 Sn.

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“…At the same time, it was shown in [31] that by using the experimental value [32] of B(E2; 8 + 1 → 6 + 1 ) in 98 Cd, we obtain the anomalously small value of the proton effective charge. One may conventionally assume the presence of strong superfluid correlations in nuclei just close to 100 Sn.…”

mentioning

confidence: 99%

Evolution of nuclear properties in the long chain of Sn isotopes from A=100 to A=132

Isakov

2012

EPJ Web of Conferences

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Abstract. This paper presents results of both microscopical and semi-empirical calculations of single-particle characteristics of nuclei and nuclear binding energies, as well as their root-mean-square radii, excitation energies and transition rates in the long chain of Sn isotopes, from the extremely neutron deficient 100 Sn up to neutron excess 136 Sn, where the experimental information is available by now. The comprehensive comparison with the experimental data is carried out.Nuclear binding energies B, as well as one-nucleon separation energies S , are the major nuclear characteristics that define borders of nuclear stability and the decay modes of nuclei. Study of evolution of nuclear properties in the long chains of isotopes or isotones, from the extremely proton-excess up to the extremely neutron-excess nuclei is of special theoretical interest, as here one can check the adequacy of the used theoretical models in the broad interval of (N − Z)/A. Formerly, [1] we studied in details the chain of the N = 82 isotones. Different long chain is represented by the sequence of the nickel isotopes from 48 Ni up to 78 Ni, where all nuclei, except for 78 Ni, turn out to be discovered by the present time. The mentioned chain is of special interest as it includes doubly-magical nucleus 48 Ni (which is an extremely proton-excess one), and 78 Ni (the last one is strongly neutron-excess, and also the doublymagical nucleus). This chain also includes doubly magical 56 Ni and semi-magical 68 Ni. The mentioned series of isotopes was theoretically analyzed by us in [2]. Another long isotopical chain is offered by the succession of tin isotopes having Z = 50. The experimental data are available from 102 Sn (N = 52) up to 136 Sn (N = 86). These nuclei are theoretically studied by us here.For description of global properties of these isotopes we apply the Hartree-Fock-Bogoliubov method. We also use the approach based on the phenomenological mean field potential that was defined by us before [3]. This potential correctly takes into account isovector terms, which is very important when we consider long isotopical chains of nuclei. Here, we examine global properties of nuclei, such as their masses, root-mean-square radii of nucleon distributions, one-and two-nucleon separation energies, as well as single-particle energies of protons and neutrons. We also study excitation energies of nuclei, as well as the reduced transition rates as respect to the electromagnetic and weak transitions.To define nuclear binding energies B in the self-consistent approach, we performed calculations based on the HF+BCS procedure that employs the Skyrme interaction and constant pairing with the corresponding proton and neutron a e-mail: visakov@thd.pnpi.spb.ru pairing constants G p and G n to account for pairing correlations. In this case, one can represent the total energy of an even-even nuclei in its ground state in the following form, see the details in [4,5]:Here and below, "n" refers to neutrons, while "p" to protons. Pairing correlations in the Ha...

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Nuclear masses and properties of nuclei in the vicinity of the remote magic nucleus 100Sn

Cited by 16 publications

References 31 publications

αdecay in the complex-energy shell model

αdecay in the complex-energy shell model

Properties of γ -decaying isomers and isomeric ratios in the Sn100 region

Evolution of nuclear properties in the long chain of Sn isotopes from A=100 to A=132

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