Nuclear Theory·nucl-th

Tuesday·November 11, 2025

10 papers—6 primary·4 cross-listed

01
Search for shape-isomers in the Pt-Hg-Pb region
J. Bartel🇫🇷 · H. Molique🇫🇷 · B. Nerlo-Pomorska🇵🇱 · M. Warda🇵🇱 · K. Pomorski🇵🇱
Potential energy surfaces of nine even-even isotopes of Pt, Hg, and Pb around $^{186}$ Pt are evaluated within a macroscopic-microscopic model based on the Lublin-Strasbourg-Drop macroscopic energy and the microscopic energy obtained using the Yukawa-folded mean-field potential to establish the Strutinski shell corrections and the pairing correlation energy through the BCS approach with a monopole pairing force. The rapidly converging Fourier-over-Spheroid shape parametrization is used to describe nuclear deformations. The stability of the identified shape isomeric states with respect to non-axial and higher-order deformations is investigated. It is also found that in the description of non-axial deformations special attention needs to be devoted to the orientation of the triaxial shape. For the example of the $^{186}$ Hg nucleus, where three prolate shape-isomeric states are found, it is shown that the potential energy surface obtained in our model is close to the one obtained in the Hartree-Fock-Bogoliubov theory with the Gogny energy-density functional.
nucl-thPRC(2025)·1 citation
02
Microscopic study of low-lying states in odd-mass nuclei for atomic electric dipole moment searches
E. F. Zhou · J. M. Yao
We present a microscopic study of the low-lying states of five odd-mass nuclei of particular interest for experimental searches of atomic electric dipole moments (EDMs): $^{129}$ Xe, $^{199}$ Hg, $^{225}$ Ra, $^{229}$ Th, and $^{229}$ Pa. The analysis is performed within the recently developed multi-reference covariant density functional theory (MR-CDFT), which incorporates symmetry restoration and configuration mixing based on self-consistent mean-field solutions. The calculated energy spectra and electromagnetic observables of these nuclei are reasonably well reproduced without introducing any parameters beyond those of the underlying universal relativistic energy density functional. The results demonstrate the reliability of MR-CDFT in describing the structure of these nuclei and in providing essential input on nuclear Schiff moments relevant to ongoing EDM searches.
nucl-thnucl-exphysics.atom-ph6 citations
03
Universal modified function in conjunction with the short range correlation effect to extract the nuclear $x F_{3}^{A}$ structure function
A.Mirjalili🇮🇷 · M. Akbari Ahmadmahmoudi🇮🇷 · H. Abdolmaleki🇮🇷 · M. M. Yazdanpanah🇮🇷
Parton distribution functions (PDFs) are comprehensive and not reliant on the process. They are affected by nuclear matter during nuclear scattering process. As a recent approach, in order to study the nuclear PDFs (nPDFs), the nucleon pair PDFs are utilized to describe parton distributions in the nucleon pair which are confined to a nucleus. Nucleon pair PDFs stem from nucleon-nucleon correlation which is called short range correlation (SRC) and are proportional to common nucleon PDFs. In this regard a modified universal function is constructed which provides a test for SRC in (neutrino)-nucleus scattering. In fact we can show that the modification of the structure function of nucleons bound in atomic nuclei (known as the EMC effect) are consistently accounted for within the frame work of a universal modification of nucleons in SRC pairs. In this article, based on the strategy which was introduced in Ref.\cite{nature}, we are investigating to find the universality behaviour for the ratio of nonsinglet $x F_{3}^{A}$ nuclear structure function. The numerical calculations performed within the CTEQ framework confirm the universality feature of the concerned ratio, as has been established for the ratio of the structure function $F_{2}^{A}$ in Ref. \cite{nature}. Following that we reformulate the $R_{E M C}$ nuclear weight function which relates the free and bound structure function in terms of modified universal function. It makes us a possibility to achieve $R_{E M C}$ and finally $x F_{3}^{A}$ nuclear structure function for each nucleus only by considering the specified feature of nucleus.The results are compared with the nuclear $x F_{3}$ structure function which are computing from bound PDFs, based on some parameterizations models. The findings, considering the SRC effect, demonstrating qualitative agreement with nCTEQ15 and EPPS21 parametrization models and also the available experimental data.
nucl-thhep-phPRD(2025)·1 citation
04
Analysis of elastic $α$ - $^{12}$ C scattering with global optimization in the cluster effective field theory
Myeong-Hwan Mun🇰🇷 · Jubin Park🇰🇷 · Chang Ho Hyun🇰🇷 · Shung-Ichi Ando🇰🇷
We analyze the elastic $α$ - $^{12}$ C scattering including the contribution of resonance states below the $p$ - $^{15}$ N breakup threshold energy. We use the cluster effective field theory in which scattering amplitude is expanded in terms of the effective range expansion parameters for the angular momentum states from $l = 0$ to $l = 6$ . The amplitude contains 37 parameters, which are determined by fitting to 11 392 differential cross section data points of the elastic $α$ - $^{12}$ C scattering. To optimize the fitting process, we implement the differential evolution (DE) algorithm, which performs a global search over the high-dimensional parameter space and consistently converges to the same minimum $χ^{2}$ value across independent runs, suggesting proximity to the global minimum within the explored domain. In parallel, the Markov chain Monte Carlo (MCMC) method is used to crosscheck the DE results and to estimate the parameter uncertainties. The best fit yields $χ^{2} / N ≃ 6.2$ for the elastic scattering data. Using the determined 37 parameters, we calculate the differential cross sections and the phase shifts of the elastic $α$ - $^{12}$ C scattering and compare the results with experimental data and those of an $R$ -matrix analysis. Our result of the cross section agrees with the experimental data as accurately as an $R$ -matrix analysis. The results demonstrate that the cluster effective field theory, combined with global optimization and uncertainty quantification based on DE-MCMC methods, provides a reliable and systematic framework for applications to low energy phenomena relevant to stellar evolution and nucleosynthesis.
nucl-thPRC(2026)·3 citations
05
Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies
Hang Yu
We derive the volume dependence of bound states from a cluster-cluster picture with nucleon degrees of freedom. A constant factor called the ``geometric factor'' appears in the generalization from point-like particles to clusters. We show that this factor becomes explicit and correct when the underlying overlap integral is evaluated directly in the original many-body space. We achieve this by constructing Jacobi coordinates on the lattice under the periodic boundary. The derivation requires only the interaction \textit{between} the clusters to be short-ranged, with the non-perturbative Coulomb force included. The factor emerges as a geometric property of the many-body configuration space rather than a multiplicity of physical channels. We validate our derivation using many-body calculations; in particular, we find this factor to be essential in extracting asymptotic normalization constants from lattice calculations of the 16O ground state.
nucl-th0 citations
06
Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter
Mattia Recchi🇩🇪 · Lorenz von Smekal🇩🇪 · Jochen Wambach🇩🇪
The Parity-Doublet Model (PDM) is a chirally invariant effective theory for strong-interaction matter involving nucleons and their opposite-parity partners in a parity-doubling framework. We introduce a multiplicatively renormalizable mean-field approach to include the baryonic vacuum contributions to the resulting grand-canonical potential in an explicitly renormalization-group invariant form. As an application, we evaluate the pertinent thermodynamics of two-flavor symmetric and asymmetric nuclear matter, focusing on the restoration of spontaneously broken chiral symmetry at baryon densities and temperatures relevant for the astrophysics of neutron stars. Special attention is paid to the effect of the baryonic vacuum fluctuations on the evolution of the chiral condensate with baryon density and temperature for specific choices of the chirally invariant baryon mass m0 to demonstrate the importance of consistently including these vacuum fluctuations in the PDM.
nucl-thastro-ph.HEhep-phPRD(2026)·3 citations
07
Accessing baryon-antibaryon generalized distribution amplitudes in $e^{\pm} γ \to e^{\pm} B B ˉ$
Jing Han🇨🇳 · Bernard Pire🇫🇷 · Qin-Tao Song🇨🇳
$γ^{*} γ \to B B ˉ$ is the golden process to access chiral-even di-baryon generalized distribution amplitudes (GDAs) as deeply virtual Compton scattering has proven to be for the generalized parton distributions. In the framework of colinear QCD factorization where the leading twist amplitude is the convolution of GDAs and a perturbatively calculable coefficient function, we study the scattering amplitude for the baryonic channels where $B$ is a spin $1/2$ baryon such as the nucleon or hyperon $Λ, Σ$ . Taking into account the interfering QED amplitude, we calculate the cross section of the $e^{\pm} γ \to e^{\pm} B B ˉ$ process that can be experimentally studied in $e^{-} e^{+}$ as well as in electron-ion facilities. We explore both the final state polarization summed case and the polarization dependent effects. Numerical estimates are presented for $e^{-} γ \to e^{-} p p ˉ$ , using motivated models for GDAs. Our results show that a first extraction of baryon-antibaryon GDAs from experimental measurements is feasible at Belle II.
↳ hep-phhep-exnucl-thPRD(2026)·2 citations
08
Isotone Chain Study of $p ˉ$ -atom spectroscopy and Strong Spin-orbit splittings
Kenta Yoshimura🇯🇵 · Shunsuke Yasunaga🇯🇵 · Daisuke Jido🇯🇵 · Hiroyuki Fujioka🇯🇵
Antiprotonic atoms have served as a pivotal tool for investigating the properties of baryon-baryon interactions, including their spin dependence. Examining the spin-orbit splittings induced by their strong interactions also could help clarify the nature of the $p ˉ$ -nucleus interactions and their fraction mediated by scalar and vector mesons. Although the strong spin-orbit splittings for a certain nucleus have been observed experimentally, thorough theoretical investigations have not yet been conducted. In this study, theoretical calculations based on the Dirac equation are systematically performed for nuclei along several isotone ``chains''. As a result, it is found that the magnitude of the strong spin-orbit splittings exhibits a significant dependence not only on the corresponding level shifts and widths almost linearly, but also on whether the optical potential enters as a vector or scalar potential. A simple perturbative analysis indicates that the relativistic corrections have a dominant effect the magnitude of the splittings. These results are expected to provide deeper insights into $p ˉ$ -nucleus interactions, and by extension baryon-baryon interactions, as well as into the properties of the mesons that mediate them.
↳ hep-phnucl-thPTEP(2026)·0 citations
09
Phases and properties of color superconductors
Andreas Schmitt🇬🇧
Cold and dense matter is expected to be in a color-superconducting state. Here we review two calculations, relevant for fundamental properties and applications of color superconductivity, respectively: the weak-coupling QCD calculation of the fermionic energy gap together with the magnetic screening masses of the gauge bosons, and the calculation of bulk viscosity from a non-leptonic electroweak process. These calculations are supplemented by a discussion of color superconductors with mismatched Fermi momenta, and they are embedded in the context of the state of the art by giving an overview of previous and ongoing work and future directions.
↳ hep-phcond-mat.supr-connucl-th9 citations
10
Experimental review on the chiral magnetic effect in relativistic heavy ion collisions
Wei Li🇺🇸 · Qiye Shou🇨🇳 · Fuqiang Wang🇺🇸
The chiral magnetic effect (CME) refers to a predicted phenomena in quantum chromodynamics that manifests as a charge separation along an external magnetic field, driven by an imbalance of quark chirality. Searches for the CME has been carried out by azimuthal particle correlations in relativistic heavy ion collisions where such a chirality imbalance is anticipated and a strong magnetic field is created in the initial stage. No conclusive experimental evidence on the CME has been established so far because of large background contributions to azimuthal correlation observables. We review the status of the experimental search for the CME, covering the observables used, the techniques to mitigate backgrounds, and the strengths and limitations of various experimental approaches, and outline a future prospect of the CME search in high-energy nuclear collisions.
↳ nucl-exhep-exhep-phnucl-thEur. Phys. J. Spec. Top. (2026)·6 citations

Affiliations

first authorsco-authorsvia INSPIRE