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Keywords = calculation of neutron fields

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16 pages, 1822 KB  
Article
Beaming of Polarized Radiation in Subcritical X-Ray Pulsars
by Ivan D. Markozov, Alexander Y. Potekhin, Alexander D. Kaminker and Alexander A. Mushtukov
Particles 2026, 9(2), 49; https://doi.org/10.3390/particles9020049 - 5 May 2026
Viewed by 288
Abstract
Radiation of X-ray pulsars is powered by accretion on the neutron star surface from a binary companion under the influence of a strong magnetic field. We study the beaming of this radiation in the case of subcritical X-ray pulsars, where it is formed [...] Read more.
Radiation of X-ray pulsars is powered by accretion on the neutron star surface from a binary companion under the influence of a strong magnetic field. We study the beaming of this radiation in the case of subcritical X-ray pulsars, where it is formed in the accretion channel close to the neutron star surface. We solve equations of the hydrodynamics and radiative transfer of two coupled polarization modes in the accretion channel numerically, taking into account resonant Compton scattering and vacuum polarization. The beaming patterns are obtained for different accretion rates, photon energies, and polarizations, as well as for different models of the neutron star surface radiation. The calculated beaming patterns are converted into light curves for both the intensity and polarization, taking into account the effects of General Relativity. These beaming patterns and light curves are found to be strongly affected by the resonant Compton scattering for photon energies comparable with the electron cyclotron energy. In particular, the angular redistribution of radiation near the cyclotron resonance may reduce the light-curve modulation amplitude, which is consistent with observational indications of a suppressed pulsed fraction at these energies. Full article
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21 pages, 4166 KB  
Article
Band Structure Calculations and Magnetic Properties of HoCo3−xSix Compounds
by Coriolan Tiușan, Roxana Dudric, Maria Căpățînă, Radu George Hațegan and Romulus Tetean
Magnetochemistry 2026, 12(5), 51; https://doi.org/10.3390/magnetochemistry12050051 - 5 May 2026
Viewed by 548
Abstract
The structural and magnetic properties and band structure results of HoCo3−xSix compounds are reported. First-principles GGA+U+SO calculations, compared with magnetometry experiments, provide deep insight on the magnetic properties of the HoCo3 compound. They show that HoCo3 is [...] Read more.
The structural and magnetic properties and band structure results of HoCo3−xSix compounds are reported. First-principles GGA+U+SO calculations, compared with magnetometry experiments, provide deep insight on the magnetic properties of the HoCo3 compound. They show that HoCo3 is a robust ferrimagnet, with strongly localized Ho-4f moments in excellent agreement with neutron data and itinerant Co-3d magnetism, where inclusion of the interstitial contribution brings the Co moments into very good agreement with the experimental data. The electronic structure reveals sharp Ho-4f states well below EF, exchange-split Co-3d bands crossing EF, and noticeable Ho-5d–Co-3d hybridization that mediates the antiparallel Ho–Co coupling and explains the non-negligible interstitial moment, providing a consistent microscopic picture that supports the experimentally observed increase in magnetization upon Co-Si substitution. Metamagnetic transitions are shown in magnetization isotherms. The observed transitions are broad and can be explained by the distribution of internal magnetic fields which arises from differences in the local environments of cobalt atoms. The magnetic properties were correlated with the theoretical results. Two transitions were revealed below room temperature, one due to a transition to a noncollinear magnetic structure and the other due to a temperature-induced metamagnetic transition. Full article
(This article belongs to the Special Issue 10th Anniversary of Magnetochemistry: Past, Present and Future)
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17 pages, 1141 KB  
Article
Effects of the Symmetry Energy Slope on Magnetized Neutron Stars
by Luiz L. Lopes, César O. V. Flores and Débora Peres Menezes
Universe 2026, 12(4), 117; https://doi.org/10.3390/universe12040117 - 15 Apr 2026
Viewed by 403
Abstract
In this work, we study the effect of the symmetry slope on the observables of weakly and strongly magnetized neutron stars within the chaotic magnetic field approximation. We investigate the impact of the symmetry energy slope in the equation of state, as well [...] Read more.
In this work, we study the effect of the symmetry slope on the observables of weakly and strongly magnetized neutron stars within the chaotic magnetic field approximation. We investigate the impact of the symmetry energy slope in the equation of state, as well as on the observables of neutron stars, by calculating their masses, radii, redshifts, tidal deformabilities, and fundamental-mode gravitational-wave frequencies. We show that the effect of the magnetic field is strong on low mass stars, producing a softer equation of state and correspondingly lower values of radii. Furthermore, the magnetic field also causes a significant drop in the dimensionless tidal parameter even when the effects on the radii are small. At the end of the paper, we discuss the effects of the magnetic field on neutron stars’ universal relations. Full article
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28 pages, 13837 KB  
Review
Spacetime Metrics with Spherical Symmetry: A Short Review on the Riemann Tensors and Kretschmann Scalars
by Hector Eduardo Roman
Axioms 2026, 15(4), 264; https://doi.org/10.3390/axioms15040264 - 5 Apr 2026
Viewed by 671
Abstract
While the standard Schwarzschild metric is overwhelmingly employed in general relativity (GR) as the starting point for various spherical spacetime metric calculations, its isotropic (ISO) form is mentioned in more specialized contexts and its derivation is barely discussed in published GR literature. In [...] Read more.
While the standard Schwarzschild metric is overwhelmingly employed in general relativity (GR) as the starting point for various spherical spacetime metric calculations, its isotropic (ISO) form is mentioned in more specialized contexts and its derivation is barely discussed in published GR literature. In this work, we review the isotropic metric, stressing that it stands out as a useful spherically symmetric metric to be employed also in traditional GR problems. We start by deriving the ISO metric through solving the vacuum field equations in Cartesian coordinates, thereby obtaining the Ricci tensor also in spherical coordinates. We then analytically calculate the Riemann tensor in Cartesian coordinates, proving its consistency with the Ricci tensor calculation for pedagogical reasons. Finally, from the Riemann tensor we exactly evaluate the Kretschmann scalar, which lacks metric singularities, a result consistent with the known singular behavior of the standard Schwarzschild metric. We conclude that the isotropic metric naturally emerges as a suitable candidate for modeling static neutron stars and regular black holes, thereby complementing the present attempts to understand these rapidly evolving research fields. Full article
(This article belongs to the Special Issue Special Functions and Related Topics, 2nd Edition)
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18 pages, 445 KB  
Article
The Curvature Parameter of the Symmetry Energy and a Modified Polytropic Equation of State
by Ilona Bednarek, Wiesław Olchawa, Jan Sładkowski and Jacek Syska
Appl. Sci. 2026, 16(6), 2825; https://doi.org/10.3390/app16062825 - 16 Mar 2026
Viewed by 401
Abstract
The nuclear symmetry energy is a key component of the equation of state of neutron stars, controlling their macroscopic parameters and internal structure. Currently, it remains an unknown issue in both experimental and theoretical studies within the density range relevant to the interiors [...] Read more.
The nuclear symmetry energy is a key component of the equation of state of neutron stars, controlling their macroscopic parameters and internal structure. Currently, it remains an unknown issue in both experimental and theoretical studies within the density range relevant to the interiors of neutron stars. This paper aims to investigate the density dependence of the symmetry energy, analyzing it in terms of the curvature parameter Ksym. The analysis is based on a neutron star matter equation of state constructed using the proposed modified polytropic form. The polytropic equations of state used approximate the complex, realistic ones. The realistic equations of state selected for the analysis in this paper are those derived using the relativistic mean-field approach. The proposed method exploits the existing strong correlations between the incompressibility of both symmetric and asymmetric nuclear matter and the calculated values of the neutron star crust–core transition density. Starting from the experimental constraint on the incompressibility of symmetric nuclear matter K0 and based on observationally determined parameters, such as the mass and radius of PSR J0740+6620 pulsar, the formulated method allows for a selection of the range of Ksym values acceptable by both the constraints on K0 and the results of astrophysical observations. Full article
(This article belongs to the Special Issue Exploiting Symmetry in Quantum Computing, Materials, and Devices)
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18 pages, 674 KB  
Article
Scaling Properties of Two-Particle–Two-Hole Responses in Asymmetric Nuclei for Neutrino Scattering Within the Relativistic Mean-Field Framework
by Victor L. Martinez-Consentino, Jose E. Amaro and Jorge Segovia
Universe 2026, 12(2), 56; https://doi.org/10.3390/universe12020056 - 20 Feb 2026
Viewed by 515
Abstract
We perform a systematic analysis of the nuclear dependence of two-particle–two-hole meson-exchange current contributions to inclusive lepton-nucleus scattering within the relativistic mean-field framework. We present microscopic calculations of nuclear responses for a set of 17 nuclei, ranging from helium to uranium, using a [...] Read more.
We perform a systematic analysis of the nuclear dependence of two-particle–two-hole meson-exchange current contributions to inclusive lepton-nucleus scattering within the relativistic mean-field framework. We present microscopic calculations of nuclear responses for a set of 17 nuclei, ranging from helium to uranium, using a model with different Fermi momenta for protons and neutrons. We propose a novel scaling prescription based on the two-particle phase space and key nuclear parameters. The resulting description is accurate over a wide range of nuclear targets, with typical deviations below 10%, and allows for a separate treatment of the different emission channels. In addition, a consistent benchmark against electron-scattering data is provided. The parametrization presented provides a practical framework for extending the responses to different nuclear targets in neutrino event generators. Full article
(This article belongs to the Special Issue Neutrino Insights: Peering into the Subatomic Universe)
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18 pages, 5569 KB  
Article
DEMO Shutdown Dose Rate Assessment Inside the Vacuum Vessel
by Roman Afanasenko, Joelle Elbez-Uzan, Dieter Leichtle, Jin Hun Park and Pavel Pereslavtsev
Appl. Sci. 2026, 16(4), 1983; https://doi.org/10.3390/app16041983 - 17 Feb 2026
Viewed by 600
Abstract
Shutdown dose rate (SDDR) assessments have been performed for the DEMO tokamak model, including the latest design and environmental configurations. The main objective of this study was to evaluate the shutdown radiation fields and establish dose rate limits to ensure safe personnel access [...] Read more.
Shutdown dose rate (SDDR) assessments have been performed for the DEMO tokamak model, including the latest design and environmental configurations. The main objective of this study was to evaluate the shutdown radiation fields and establish dose rate limits to ensure safe personnel access to the Vacuum Vessel (VV) and nearby components. The simulations were based on the DEMO baseline model, further refined with the minor updates of the lower port, equatorial port limiter, and upper port assemblies. The computational approach employed the Monte Carlo particle transport code MCNP for neutron and photon transport calculations, coupled with the activation and decay code FISPACT-II to determine time-dependent decay gamma source terms. The mesh-coupled Rigorous Two-Step (R2Smesh) methodology developed in KIT was applied to achieve spatially resolved decay of photon source distributions and to compute corresponding SDDR 3D maps within the DEMO reactor configuration. The results provide a detailed characterization of the residual radiation environment inside the VV, offering insight into the accumulated activity, shielding performance of different materials, and potential access scenarios for maintenance operations in next-generation fusion devices. Full article
(This article belongs to the Special Issue Advances in Fusion Engineering and Design Volume II)
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15 pages, 1289 KB  
Article
Design of Detection Training Equipment for Penetrating Radiation Field from Nuclear Fuel in a Tunnel Environment
by Gui Huang, Haiyan Li, Biao Li, Fei Wu, Ming Guo and Xin Xie
Sensors 2026, 26(4), 1194; https://doi.org/10.3390/s26041194 - 12 Feb 2026
Viewed by 410
Abstract
To address the problems existing in nuclear reactor accident emergency training, a design scheme and system prototype of radiation detection training equipment for penetrating radiation fields in enclosed spaces, based on inertial sensors and wireless Bluetooth communication is proposed. First, the penetrating radiation [...] Read more.
To address the problems existing in nuclear reactor accident emergency training, a design scheme and system prototype of radiation detection training equipment for penetrating radiation fields in enclosed spaces, based on inertial sensors and wireless Bluetooth communication is proposed. First, the penetrating radiation field is modeled. On this basis, a calculation model of the neutron/γ dose equivalent rate is established. This model is based on the motion path of simulated radiation detection equipment. Second, the MPU6050 inertial sensor is designed and developed. It monitors the three-axis acceleration and three-axis angular acceleration values in real time. This enables the indoor positioning function of the simulated detection training equipment. The Digital Motion Processor (DMP) filtering algorithm is used to process the measured data. This improves the detection accuracy. Finally, a Bluetooth communication module is designed and developed. It transmits the detected position data to the main control computer in real time. The main control computer performs calculation and analysis to obtain the radiation intensity value. This value is sent to the Arduino controller. The Arduino controller controls the display of the value on the liquid crystal screen. Experimental verification is carried out. Experimental verification indicates that the maximum error of the system’s three-dimensional spatial positioning is 0.08 m, the mean relative error of the radiation dose rate simulation is 4.81%, and the maximum relative error is 7.8%. The system relatively accurately achieves radiation dose simulation and radiation source localization according to different working modes, providing a high cost-effectiveness training method for radiation detection training with high safety and good economy. Full article
(This article belongs to the Section Environmental Sensing)
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39 pages, 713 KB  
Tutorial
An Undergraduate Approach to the Quantum Hadrodynamics and Physics of Neutron Stars
by Luiz L. Lopes
Universe 2025, 11(8), 276; https://doi.org/10.3390/universe11080276 - 18 Aug 2025
Cited by 5 | Viewed by 1190
Abstract
In this tutorial, I discuss how to model a neutron star from the Quantum Hadrodynamics microscopic approach. After a brief discussion about hydrostatic equilibrium, I discuss the role of each meson of the model and how to calculate the corresponding equation of state [...] Read more.
In this tutorial, I discuss how to model a neutron star from the Quantum Hadrodynamics microscopic approach. After a brief discussion about hydrostatic equilibrium, I discuss the role of each meson of the model and how to calculate the corresponding equation of state and the expected values. Each meson is introduced individually. Its effects are analyzed from both an analytical and a numerical point of view. To explicitly show the effects of a given meson, the coupling constant is varied in an arbitrary range before being fixed to reproduce well-known constraints. This work is intended for late undergraduate students as well as early graduate students. The equation of states is obtained from the statistical mechanics formalism, which is more familiar to students at this stage of their research career, instead of the traditional quantum field theory formalism. Full article
(This article belongs to the Section Compact Objects)
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19 pages, 694 KB  
Article
Nuclear Matter and Finite Nuclei: Relativistic Thomas–Fermi Approximation Versus Relativistic Mean-Field Approach
by Shuying Li, Hong Shen and Jinniu Hu
Universe 2025, 11(8), 255; https://doi.org/10.3390/universe11080255 - 1 Aug 2025
Viewed by 1322
Abstract
The Thomas–Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is assumed to be composed of a lattice of heavy nuclei [...] Read more.
The Thomas–Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is assumed to be composed of a lattice of heavy nuclei surrounded by dripped nucleons, and the Wigner–Seitz cell is commonly introduced to simplify the calculations. The self-consistent Thomas–Fermi approximation can be employed to study both a nucleus surrounded by nucleon gas in the Wigner–Seitz cell and an isolated nucleus in the nuclide chart. A detailed comparison is made between the self-consistent Thomas–Fermi approximation and the relativistic mean-field approach for the description of finite nuclei, based on the same nuclear interaction. These results are then examined using experimental data from the corresponding nuclei. Full article
(This article belongs to the Special Issue Advances in Nuclear Astrophysics)
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12 pages, 690 KB  
Article
An Overview of the MUSES Calculation Engine and How It Can Be Used to Describe Neutron Stars
by Mateus Reinke Pelicer, Veronica Dexheimer and Joaquin Grefa
Universe 2025, 11(7), 200; https://doi.org/10.3390/universe11070200 - 20 Jun 2025
Cited by 1 | Viewed by 774
Abstract
For densities beyond nuclear saturation, there is still a large uncertainty in the equations of state (EoSs) of dense matter that translate into uncertainties in the internal structure of neutron stars. The MUSES Calculation Engine provides a free and open-source composable workflow management [...] Read more.
For densities beyond nuclear saturation, there is still a large uncertainty in the equations of state (EoSs) of dense matter that translate into uncertainties in the internal structure of neutron stars. The MUSES Calculation Engine provides a free and open-source composable workflow management system, which allows users to calculate the EoSs of dense and hot matter that can be used, e.g., to describe neutron stars. For this work, we make use of two MUSES EoS modules, i.e., Crust Density Functional Theory and Chiral Mean Field model, with beta-equilibrium with leptons enforced in the Lepton module, then connected by the Synthesis module using different functions: hyperbolic tangent, generalized Gaussian, bump, and smoothstep. We then calculate stellar structure using the QLIMR module and discuss how the different interpolating functions affect our results. Full article
(This article belongs to the Special Issue Compact Stars in the QCD Phase Diagram 2024)
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14 pages, 865 KB  
Article
Neutron Decay Anomaly and Its Effects on Neutron Star Properties
by H. C. Das and G. F. Burgio
Universe 2025, 11(5), 159; https://doi.org/10.3390/universe11050159 - 12 May 2025
Cited by 6 | Viewed by 1200
Abstract
We investigate the effects of dark matter (DM) on neutron star (NS) properties using the neutron decay anomaly model within the relativistic mean-field (RMF) framework. Three nucleonic models (HCD0–HCD2) are developed, satisfying astrophysical constraints such as the maximum NS mass (≥ [...] Read more.
We investigate the effects of dark matter (DM) on neutron star (NS) properties using the neutron decay anomaly model within the relativistic mean-field (RMF) framework. Three nucleonic models (HCD0–HCD2) are developed, satisfying astrophysical constraints such as the maximum NS mass (≥2M), the NICER mass–radius limits, and the tidal deformability constraint from the GW170817 event. The equation of states of the NS admixed with DM (DMANS) is calculated by incorporating the self-interactions between them. The macroscopic properties, such as mass, radius, and tidal deformability of the NSs, are obtained for HCD models along with five others by varying self-interaction strength. By combining NS observations with scattering cross-section constraints from galaxy clusters, we explore model-dependent trends in the DM self-interaction parameter space. While the quantitative bounds may vary with hadronic model choice, our analysis offers insights into the interplay between DM interactions and NS observables within the RMF framework. Full article
(This article belongs to the Section Compact Objects)
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23 pages, 384 KB  
Article
Robust Method for Confidence Interval Estimation in Outlier-Prone Datasets: Application to Molecular and Biophysical Data
by Victor V. Golovko
Biomolecules 2025, 15(5), 704; https://doi.org/10.3390/biom15050704 - 12 May 2025
Cited by 2 | Viewed by 2287
Abstract
Estimating confidence intervals in small or noisy datasets is a recurring challenge in biomolecular research, particularly when data contain outliers or exhibit high variability. This study introduces a robust statistical method that combines a hybrid bootstrap procedure with Steiner’s most frequent value (MFV) [...] Read more.
Estimating confidence intervals in small or noisy datasets is a recurring challenge in biomolecular research, particularly when data contain outliers or exhibit high variability. This study introduces a robust statistical method that combines a hybrid bootstrap procedure with Steiner’s most frequent value (MFV) approach to estimate confidence intervals without removing outliers or altering the original dataset. The MFV technique identifies the most representative value while minimizing information loss, making it well suited for datasets with limited sample sizes or non-Gaussian distributions. To demonstrate the method’s robustness, we intentionally selected a dataset from outside the biomolecular domain: a fast-neutron activation cross-section of the 109Ag(n, 2n)108mAg reaction from nuclear physics. This dataset presents large uncertainties, inconsistencies, and known evaluation difficulties. Confidence intervals for the cross-section were determined using a method called the MFV–hybrid parametric bootstrapping (MFV-HPB) framework. In this approach, the original data points were repeatedly resampled, and new values were simulated based on their uncertainties before the MFV was calculated. Despite the dataset’s complexity, the method yielded a stable MFV estimate of 709 mb with a 68.27% confidence interval of [691, 744] mb, illustrating the method’s ability to provide interpretable results in challenging scenarios. Although the example is from nuclear science, the same statistical issues commonly arise in biomolecular fields, such as enzymatic kinetics, molecular assays, and diagnostic biomarker studies. The MFV-HPB framework provides a reliable and generalizable approach for extracting central estimates and confidence intervals in situations where data are difficult to collect, replicate, or interpret. Its resilience to outliers, independence from distributional assumptions, and compatibility with small-sample scenarios make it particularly valuable in molecular medicine, bioengineering, and biophysics. Full article
(This article belongs to the Topic Bioinformatics in Drug Design and Discovery—2nd Edition)
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11 pages, 823 KB  
Article
Masses and Quadrupole Deformations of Even-Z Nuclei Within a Triaxial Relativistic Hartree–Bogoliubov Model
by Qin Zhou and Zhipan Li
Particles 2025, 8(2), 57; https://doi.org/10.3390/particles8020057 - 9 May 2025
Cited by 2 | Viewed by 1920
Abstract
This study investigates the masses and quadrupole deformations of even-Z nuclei within the range 8Z104 using the triaxial relativistic Hartree–Bogoliubov model (TRHB) with the PC-PK1 density functional. For odd-mass nuclei, the global minima were determined using the automatic blocking [...] Read more.
This study investigates the masses and quadrupole deformations of even-Z nuclei within the range 8Z104 using the triaxial relativistic Hartree–Bogoliubov model (TRHB) with the PC-PK1 density functional. For odd-mass nuclei, the global minima were determined using the automatic blocking method and their dynamical correlation energies (DCEs) were approximated using the average values of neighboring even–even nuclei calculated from a microscopic, five-dimensional, collective Hamiltonian (5DCH). The mean-field results underestimate the binding energies of most open-shell nuclei, with an initial root–mean–square (rms) deviation of 2.56 MeV for 1223 even-Z nuclei. Incorporating DCEs significantly reduces this deviation to 1.36 MeV. Additionally, the descriptions of two-neutron and one-neutron separation energies are improved, with rms deviations decreasing to 0.75 MeV and 0.65 MeV, respectively. Further refinement through accounting for odd–even differences in DCEs reduces the rms deviations for binding energies and one-neutron separation energies to 1.30 MeV and 0.63 MeV, respectively. Regarding the quadrupole deformations, TRHB calculations reveal spherical shapes near shell and subshell closures, well-deformed shapes at the mid-shell, and rapid shape transitions in medium- and heavy-mass regions. Oblate shapes dominate in regions (Z,N)(14,14),(34,36), and (40,60), and the neutron-deficient Pb region, with notable odd–even shape staggering attributed to the blocking effect of the odd nucleon. Triaxial shapes are favored in the mass regions (Z,N)(60,76) and (76,116). Full article
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14 pages, 317 KB  
Article
Beta Decay Properties of Waiting-Point N = 50 and 82 Isotopes
by Necla Çakmak and Najm Abdullah Saleh
Particles 2025, 8(2), 56; https://doi.org/10.3390/particles8020056 - 6 May 2025
Viewed by 2413
Abstract
We performed the microscopic calculation of β-decay properties for waiting-point nuclei with neutron-closed magic shells. Allowed Gamow–Teller (GT) and first-forbidden (FF) transitions were simulated using a schematic model (SM) for waiting-point N = 50,82 isotopes in the framework of a [...] Read more.
We performed the microscopic calculation of β-decay properties for waiting-point nuclei with neutron-closed magic shells. Allowed Gamow–Teller (GT) and first-forbidden (FF) transitions were simulated using a schematic model (SM) for waiting-point N = 50,82 isotopes in the framework of a proton–neutron quasiparticle random phase approximation (pn-QRPA). The Woods–Saxon (WS) potential basis was used in our calculations. The pn-QRPA equations of allowed (GT) and (FF) transitions were utilized in both the particle–hole (ph) and particle–particle (pp) channels in the SM. We solved the secular equations of the GT and FF transitions for eigenvalues and eigenfunctions of the corresponding Hamiltonians. A spherical shape was assigned to each waiting-point nucleus in all simulations. Significantly, this study marks the first time that β-decay analysis has been applied to certain nuclei, including 82Ge50, 83As50, 84Se50, 85Br50 and 87Rb50 with N=50 isotones, and 132Sn82, 133Sb82, 134Te82, 135I82 and 137Cs82 with N=82 isotones. Since there is no prior theoretical research on these nuclei, this work is a unique addition to the field. We compared our results with the previous calculations and measured data, and our calculations agree with the experimental data and the other theoretical results. Full article
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