Nuclear Theory·nucl-th

Friday·May 16, 2025

10 papers—6 primary·4 cross-listed

01
Benchmarking nuclear energy density functionals with new mass data
Xiaoying Qu · Kangmin Chen · Cong Pan · Yangyang Yu · Kaiyuan Zhang
Nuclear masses play a crucial role in both nuclear physics and astrophysics, driving sustained efforts toward their precise experimental determination and reliable theoretical prediction. In this work, we compile the newly measured masses for 296 nuclides from 40 references published between 2021 and 2024, subsequent to the release of the latest Atomic Mass Evaluation. These data are used to benchmark the performance of several relativistic and non-relativistic density functionals, including PC-PK1, TMA, SLy4, SV-min, UNEDF1, and the recently proposed PC-L3R. Results for PC-PK1 and PC-L3R are obtained using the state-of-the-art deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), while the others are adopted from existing literature. It is found that the DRHBc calculations with PC-PK1 and PC-L3R achieve an accuracy better than 1.5 MeV, outperforming the other functionals, which all exhibit root-mean-square deviations exceeding 2 MeV. The odd-even effects and isospin dependence in these theoretical descriptions are examined. The PC-PK1 and PC-L3R descriptions are qualitatively similar, both exhibiting robust isospin dependence along isotopic chains. Finally, a quantitative comparison between the PC-PK1 and PC-L3R results is presented, with their largest discrepancies analyzed in terms of potential energy curves from constrained DRHBc calculations.
nucl-thNucl.Sci.Tech.(2025)·9 citations
02
Genetic Algorithm based Inverse Potentials for Resonant States of $α -^{12} C$ Using Variable Phase Approach
Ayushi Awasthi🇮🇳 · Arushi Sharma🇮🇳 · Barbie · Ishwar Kant🇮🇳 · O. S. K. S. Sastri🇮🇳
Elastic scattering between $α$ -particles and $^{12} C$ nuclei plays a crucial role in understanding resonance phenomena in light nuclear systems. In this work, we construct inverse potentials for resonant states in $α$ - $^{12} C$ elastic scattering using the variable phase approach, in tandem with a genetic algorithm based optimization technique. The reference function for the potential in the phase equation is chosen as a combination of three smoothly joined Morse-type functions. The parameters of the reference function are genetically evolved to minimize the the mean squared error (MSE) between the numerically obtained scattering phase shifts and the expected values. The resulting inverse potentials accurately reproduce the resonance energies ( $E_{r}$ ) and the resonance widths ( $Γ_{r}$ ) for the $ℓ^{π}$ states, $1^{-}$ , $2^{+}$ , $3^{-}$ , and $4^{+}$ , showing excellent agreement with experimental data. This computational approach to constructing inverse potentials serves as a complementary to conventional direct methods for investigating nuclear scattering phenomena.
nucl-thPRC(2025)·2 citations
03
Searching for True Muonium in Relativistic Heavy Ion Collisions
Zuo-Tang Liang🇨🇳 · Qian Yang🇨🇳 · Hong Zhang🇨🇳 · Jiaxing Zhao🇩🇪 · Pengfei Zhuang🇨🇳
We investigate the production of the as-yet-undetected true muonium within the quark-gluon plasma formed in relativistic heavy-ion collisions, employing a relativistic Boltzmann transport framework coupled to viscous hydrodynamic simulations. The obtained effective cross sections for central collisions are 1.23~ $μ b$ in AuAu collisions with $s_{NN} = 200$ ~GeV and 14.2~ $μ b$ in PbPb collisions with $s_{NN} = 5.02$ ~TeV, resulting in a yield of $O (1 0^{4})$ and $O (1 0^{5})$ true muonium per billion $AA$ collisions at RHIC and the LHC, respectively. This establishes heavy-ion collisions as a promising process for detecting true muonium.
nucl-thhep-ph3 citations
04
Theoretical Investigation of {\alpha}-decay in Heavy and Superheavy Isomers
A. Jain · M. Imran · G. Saxena
The heavy and superheavy elements of the periodic table predominately disintegrate by {\alpha}-decay, facilitating transitions mainly between ground states and occasionally involving isomeric states. This study focuses on estimating the half-lives of {\alpha}-transitions both from and to isomeric states, using a recently refined formula which shows excellent agreement with experimental data when isospin of parent nucleus as well as angular momentum taken away by the {\alpha} particle are incorporated. These findings provide valuable insights for upcoming experimental investigations of isomeric states. Additionally, the study predicts potential {\alpha}-decay in several yet-unobserved isomeric nuclei, contributing to a deeper understanding of nuclear structure in heavy and superheavy elements.
nucl-thIJMPE(2025)·1 citation
05
Correlations of $Q_{β}$ -values with symmetry energy and effective mass studied within Skyrme energy--density functionals
Futoshi Minato · Yifei Niu · Kenichi Yoshida
The $β$ -decay half-lives of nuclei are sensitive to the values of $Q_{β}$ . For accurate theoretical predictions, it is essential to develop an effective interaction or an energy density functional (EDF) that can systematically reproduce experimental $Q_{β}$ values. The challenge lies in identifying an appropriate EDF for an accurate $Q_{β}$ prediction. To address this, we focus on the bulk properties of nuclei that have correlations with $Q_{β}$ . The primary objective of this study is to determine which nuclear bulk properties are sensitive to $Q_{β}$ , providing information on the key nuclear characteristics that influence $β$ -decay calculations. We employ the Skyrme energy-density functionals to find correlations between $Q_{β}$ and the nuclear bulk properties, assuming spherical symmetry. Using $42$ different Skyrme EDFs, we analyze these correlations by evaluating Pearson linear coefficients, focusing particularly on the relationship between $Q_{β}$ and various nuclear properties. We found that the symmetry energy at low densities shows a correlation with the $Q_{β}$ value. In particular, this correlation becomes stronger for functionals with an effective mass close to $1$ . However, as the nuclear density increases, the correlation weakens. From our analysis, we found that a symmetry energy of $32.8 \pm 0.7$ ~MeV and effective mass of $m^{*} / m \geq 0.75$ at the saturation density is the most likely to systematically reproduce the experimental data of $Q_{β}$ systematically.
nucl-thnucl-exPRC(2025)·0 citations
06
Causality and stability of magnetohydrodynamics for an ultrarelativistic locally neutral two-component gas
Caio V. P. de Brito🇧🇷 · Khwahish Kushwah🇧🇷 · Gabriel S. Denicol🇧🇷
We investigate the causality and stability of the relativistic theory of magnetohydrodynamics derived in Phys. Rev. D 109, 096021 (2024) to describe a locally neutral two-component plasma of massless particles. We show that this formalism is linearly causal and stable around global equilibrium, for any value of the magnetic field and discuss its qualitative differences to the traditional Israel-Stewart formalism in the linear regime. Finally, we compare this framework with the magnetohydrodynamic model used in the study of astrophysical plasmas, in which only the longitudinal component of the shear-stress tensor is considered. We discuss the domain of applicability of this type of framework in the context of ultrarelativistic heavy-ion collisions.
nucl-thhep-thPRD(2025)·4 citations

Affiliations

first authorsco-authorsvia INSPIRE

Benchmarking nuclear energy density functionals with new mass data

Genetic Algorithm based Inverse Potentials for Resonant States of α−12C Using Variable Phase Approach

Searching for True Muonium in Relativistic Heavy Ion Collisions

Theoretical Investigation of {\alpha}-decay in Heavy and Superheavy Isomers

Correlations of Qβ​-values with symmetry energy and effective mass studied within Skyrme energy--density functionals

Causality and stability of magnetohydrodynamics for an ultrarelativistic locally neutral two-component gas

Affiliations

Genetic Algorithm based Inverse Potentials for Resonant States of $α -^{12} C$ Using Variable Phase Approach

Correlations of $Q_{β}$ -values with symmetry energy and effective mass studied within Skyrme energy--density functionals