Nuclear Theory·nucl-th

Wednesday·June 4, 2025

12 papers—7 primary·5 cross-listed

01
[Submitted on 2 Jun 2025]
Kolmogorov-Arnold Wavefunctions
Paulo F. Bedaque · Jacob Cigliano · Hersh Kumar · Srijit Paul · Suryansh Rajawat
This work investigates Kolmogorov-Arnold network-based wavefunction ansatz as viable representations for quantum Monte Carlo simulations. Through systematic analysis of one-dimensional model systems, we evaluate their computational efficiency and representational power against established methods. Our numerical experiments suggest some efficient training methods and we explore how the computational cost scales with desired precision, particle number, and system parameters. Roughly speaking, KANs seem to be 10 times cheaper computationally than other neural network based ansatz. We also introduce a novel approach for handling strong short-range potentials-a persistent challenge for many numerical techniques-which generalizes efficiently to higher-dimensional, physically relevant systems with short-ranged strong potentials common in atomic and nuclear physics.
Comments:
19 pages, 6 figures
Subjects:
Nuclear Theory (nucl-th); cond-mat.dis-nn (cond-mat.dis-nn); Quantum Physics (quant-ph)
arXiv:
2506.02171 [pdf]
PRC(2025)·2 citations
02
[Submitted on 2 Jun 2025]
New level density parameter beyond Egidy-Bucurescu's systematics
Junzhe Zhang · Yanan Zheng · Caixin Yuan · Yangyang Shen · Yingchen Mao
Extending beyond the Egidy-Bucurescu systematics, the nuclear level density parameters (LDPs) for the back-shifted Fermi gas model were compiled. Three forms of LDPs were fitted: the liquid-drop model (LDM), the droplet model (DM), and the power-law dependence on mass number A. Additionally, the root-mean-square deviations (RMSDs) of the new LDPs and existing literature values were calculated. The newly fitted global LDM-type parameters outperform the commonly used Toke-Swiatecki parameters in various statistical model calculations. In contrast, neither the global nor the combined DM-type parameters yielded satisfactory results. Among the tested parameter sets, the widely adopted Reisdorf parameters exhibited the best overall performance, as evidenced by the larger number of experimental data points falling within their narrower RMSD confidence intervals. For the power-law A-dependence, the new global parameters performed better than the existing homogeneous ones. The ground-state deformation and isospin correction factors had minimal overall impact on the LDP fits. However, the current results suggest that theoretical calculations for transitional nuclei should account for ground-state deformation effects.
Comments:
18 pages, 4 figures
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2506.02322 [pdf]
0 citations
03
[Submitted on 3 Jun 2025]
Ab initio study of the radii of oxygen isotopes
Zhengxue Ren🇩🇪 · Serdar Elhatisari🇸🇦 · Ulf-G. Meißner🇩🇪
We present an {\em ab initio} study of the charge and matter radii of oxygen isotopes from $^{16}$ O to $^{20}$ O using nuclear lattice effective field theory (NLEFT) with high-fidelity N $^{3}$ LO chiral interactions. To efficiently address the Monte Carlo sign problem encountered in nuclear radius calculations, we introduce the {\em partial pinhole algorithm}, significantly reducing statistical uncertainties and extending the reach to more neutron-rich and proton-rich isotopes. Our computed charge radii for $^{16}$ O, $^{17}$ O, and $^{18}$ O closely match experimental data, and we predict a charge radius of $2.810 (32)$ fm for $^{20}$ O. The calculated matter radii show excellent agreement with values extracted from low-energy proton and electron elastic scattering data, but are inconsistent with those derived from interaction cross sections and charge-changing cross section measurements. These discrepancies highlight model-dependent ambiguities in the experimental extraction methods of matter radii and underscore the value of precise theoretical benchmarks from NLEFT calculations.
Comments:
6+8 pages, 2+5 figures
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Lattice (hep-lat); Nuclear Experiment (nucl-ex)
arXiv:
2506.02597 [pdf]
PRL(2025)·15 citations
04
[Submitted on 3 Jun 2025]
Deformed magic numbers at $N =$ 178 and $Z =$ 120, 124 in the 112 $\leq N \leq$ 190 superheavy region from Skyrme mean-field calculations
W. Asous · Mastura Syamimi Abdullah · Meng-Hock Koh · Kok-Siong Khoo
Background: Various motivations for exploration of superheavy region revolve around the question on whether 126 is a spherical proton magic number, as is the case for neutrons. In exploring this region, identification of nuclei with relatively longer half-life as compared to its neighbours is crucial for experimental studies. Such information is provided from theoretical predictions, which are however, heavily dependent on the theoretical model used and observable quantities under investigation. Purpose: Limiting ourselves to the Skyrme Hartree-Fock-plus-Bardeen-Cooper-Schrieffer approach, we aimed to analyse the appearance of a nuclear region with relatively high stability associated with emergence of spherical and deformed magic numbers in the region of $170 \leq N \leq 190$ ( $112 \leq Z \leq 130$ ) based on various observables. Methods: Three Skyrme parametrizations namely the SkM* frequently employed for fission calculations, and the SLy5 and SLy4 commonly used for superheavy region, are considered to provide comparisons within the Skyrme mean-field approach. We evaluated the variation of electric quadrupole deformation ( $β_{20}$ ), binding energy per nucleon ( $B E / A$ ), two-nucleon separation energy differential ( $δ S 2_{q}$ ), alpha-decay energy ( $Q_{α}$ ) and alpha-decay half-lives ( $T_{1/2}$ ). Conclusion: Our analyses suggest that neutron number $N = 178$ is candidate for deformed magic number around proton number $114 \leq Z \leq 118$ . For protons, $Z = 120$ and $124$ appears to be a candidate for deformed magic number at around $N = 172 \sim 178$ . Both sets of deformed magic numbers appear at oblate ground-state deformation.
Comments:
15 figures, 10 tables
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2506.02684 [pdf]
IJMPE(2025)·0 citations
05
[Submitted on 3 Jun 2025]
Testing Variational Perturbation Theory for Effective Actions Using the Gaudin-Yang Model
Pranav Sharma · R. J. Furnstahl
The background field formalism based on effective actions is a compelling framework for developing an effective field theory for nuclear density functional theory. Among the challenges in carrying out this development is handling both the particle-hole and pairing channels beyond the mean-field level, which includes how to incorporate collective degrees of freedom. Here we use the exactly solvable one-dimensional Gaudin-Yang model as a theoretical laboratory to explore candidate approaches. We compare Variational Perturbation Theory (VPT) to ordinary many-body perturbation theory and the inversion method, all to second order in their respective expansions, and verify issues with Hubbard-Stratonovich auxiliary fields. VPT outperforms the other approaches at this level over a wide range of densities. The next steps to extend this approach toward nuclei are outlined.
Comments:
21 pages, 9 figures, matches published version
Subjects:
Nuclear Theory (nucl-th); cond-mat.other (cond-mat.other); High Energy Physics — Phenomenology (hep-ph)
arXiv:
2506.02919 [pdf]
PRC(2025)·1 citation
06
[Submitted on 3 Jun 2025]
High-order anisotropic flow and nonlinear hydrodynamic responses
Owen Horecny🇺🇸 · Chun Shen🇺🇸
In this work, we study the charged hadron anisotropic flow coefficients $v_{n}$ (up to $n = 12$ ) using high-statistics event-by-event simulations of Pb+Pb collisions at $s_{NN} = 5.02$ and $5.36$ ~TeV, employing the IP-Glasma + MUSIC + UrQMD hybrid approach. The power spectra of anisotropic flow coefficients ( $v_{n} {2}$ vs. $n$ ) are compared with the ALICE measurements from central to 50% centrality. To understand the various sources contributing to the high-order $v_{n}$ coefficients, we analyze the nonlinear mode coefficients for high-order anisotropic flow coefficients using different approximations and make comparisons with available measurements.
Comments:
9 pages, 16 figures; updated version has been accepted by Phys. Rev. C
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
arXiv:
2506.02930 [pdf]
PRC(2025)·1 citation
07
[Submitted on 3 Jun 2025]
Covariant Energy Density Functionals for Neutron Star Matter Equation of State Modeling: Cross-Comparison Analysis Using \texttt{CompactObject}
João Cartaxo🇵🇹 · Chun Huang🇺🇸 · Tuhin Malik🇵🇹 · Shashwat Sourav🇺🇸 · Wen-Li Yuan🇨🇳 · Tianzhe Zhou🇨🇳 · Xuezhi Liu🇨🇳 · Constança Providência🇵🇹
This study analyzes and contrasts different phenomenological methods used to model the nuclear equation of state (EOS) for neutron star matter based on covariant energy density functionals (CEDF). Using two complementary methodologies, we seek to capture a comprehensive picture of the potential behaviors of ultra-dense nucleonic matter and identify the most plausible models based on current observational and experimental constraints. Observational data from radio pulsar timing, gravitational wave detection of GW170817, and X-ray timing provide critical benchmarks for testing the models. We have derived the EOS posteriors for various CEDF models within the \texttt{CompactObject} package, utilizing recent observational data on neutron stars, state-of-the-art theoretical constraints from chiral effective field theory ( $χ$ EFT) calculations for pure neutron matter at low densities, and pQCD-derived constraints. Our analysis has demonstrated that while all considered CEDF models broadly reproduce current astrophysical and theoretical constraints, subtle yet important differences persist among them, with each framework exhibiting distinct characteristics at supra-nuclear density. This is in particular true for the proton fraction inside neutron stars, but also supported by the models' behavior with respect to the pure neutron matter EOS and the density dependence of the speed of sound. Our study highlights the sensitivity of dense matter predictions to the underlying EOS parameterizations and the priors considered.
Comments:
27 pages, 12 figures, 6 tables, pQCD constraint updated
Subjects:
Nuclear Theory (nucl-th); High Energy Astrophysical Phenomena (astro-ph.HE); General Relativity and Quantum Cosmology (gr-qc)
arXiv:
2506.03112 [pdf]
Astrophys.J.Suppl.(2026)·14 citations
08
[Submitted on 2 Jun 2025] (cross-list from hep-ph)
Investigating the inclusive $D^{0}$ photoproduction in ultraperipheral $P b P b$ collisions at the Large Hadron Collider
Victor P. Goncalves🇧🇷 · Luana Santana🇧🇷 · Wolfgang Schäfer🇵🇱
The inclusive $D^{0}$ photoproduction in $P b P b$ collisions at the center - of - mass energies of the Large Hadron Collider (LHC) is investigated considering the color dipole $S$ - matrix approach. The analytical expressions for the differential distributions are derived in the impact parameter and transverse momentum spaces and predictions for the rapidity and transverse momentum distributions are presented considering three distinct models for the unintegrated gluon distribution of the nuclear target. In particular, we compare the predictions derived assuming a linear dynamics, with and without the inclusion of nuclear effects, with those obtained by solving the running coupling Balitsky - Kovchegov equation. A comparison of these predictions with the recent (preliminary) CMS data is also performed. Our results indicate that a detailed analysis of this observable will be very useful to improve our understanding of the strong interaction theory at high energies and in a nuclear medium.
Comments:
12 pages, 3 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2506.02223 [pdf]
PLB(2025)·6 citations
09
[Submitted on 2 Jun 2025] (cross-list from quant-ph)
Euclidean-Monte-Carlo-informed ground-state preparation for quantum simulation of scalar field theory
Navya Gupta🇺🇸 · Christopher David White🇺🇸 · Zohreh Davoudi🇺🇸
Quantum simulators offer great potential for investigating dynamical properties of quantum field theories. However, preparing accurate non-trivial initial states for these simulations is challenging. Classical Euclidean-time Monte-Carlo methods provide a wealth of information about states of interest to quantum simulations. Thus, it is desirable to facilitate state preparation on quantum simulators using this information. To this end, we present a fully classical pipeline for generating efficient quantum circuits for preparing the ground state of an interacting scalar field theory in 1+1 dimensions. The first element of this pipeline is a variational ansatz family based on the stellar hierarchy for bosonic quantum systems. The second element of this pipeline is the classical moment-optimization procedure that augments the standard variational energy minimization by penalizing deviations in selected sets of ground-state correlation functions (i.e., moments). The values of ground-state moments are sourced from classical Euclidean methods. The resulting states yield comparable ground-state energy estimates but exhibit distinct correlations and local non-Gaussianity. The third element of this pipeline is translating the moment-optimized ansatz into an efficient quantum circuit with an asymptotic cost that is polynomial in system size. This work opens the way to systematically applying classically obtained knowledge of states to prepare accurate initial states in quantum field theories of interest in nature.
Comments:
52 pages, 32 figures
Subjects:
Quantum Physics (quant-ph); High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2506.02313 [pdf]
PRD(2026)·10 citations
10
[Submitted on 3 Jun 2025] (cross-list from hep-ph)
The Non-perturbative term for the Vector Form Factor of Pion Decay
Susumu Kinpara🇯🇵
The vector form factor of the decay $π^{+} \to γ + e^{+} + ν_{e}$ is calculated by the method for the pseudovector pion-nucleon system. The non-perturbative term is taken into account by using the parameter for the self-energy of nucleon following our previous calculation of the pion form factor. The suppression of the anomalous interaction of proton in the loop integral is significant to understand the experimental value.
Comments:
9 pages
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2506.02502 [pdf]
1 citation
11
[Submitted on 3 Jun 2025] (cross-list from hep-ph)
The Study of Pole Trajectory within a bare state in the coupled channel model
Wei Hao🇨🇳 · Jia-Jun Wu🇨🇳 · Jin-Lin Fu🇨🇳
We investigate two-particle scattering and two-particle scattering with a bare basis state using Hamiltonian Effective Field Theory (HEFT). We analyze the distribution of two-body scattering poles in the momentum and energy planes under relativistic conditions. Compared to the non-relativistic case, there are significant differences in the distribution of bound state poles and resonance poles in the relativistic case, primarily due to the square root term in the relativistic formula. By considering pure two-particle scattering, we examine the relationship between the form factor and the number of poles. Additionally, we clearly elucidate the effects of attractive and repulsive interactions on the bound state poles and resonance poles. More importantly, we extend our model by including a bare state and explore the poles originating from the bare state or coupled channels through the trajectories of pole positions, as well as the compositeness of bound states.
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2506.02526 [pdf]
PRD(2025)·1 citation
12
[Submitted on 3 Jun 2025] (cross-list from hep-ph)
Renormalization of the three-flavor quark-meson diquark model
Jens O. Andersen🇳🇴 · Mathias P. Nødtvedt🇳🇴
We discuss the properties of the two- and three-flavor quark-meson diquark (QMD) model as a renormalizable low-energy effective model for color superconductivity in dense QCD. The effective degrees of freedom are scalars, pseudo-scalars, diquarks, and quarks. The parameters in the scalar/pseudo-scalar sector can be determined by matching the meson pole masses and decay constants to their observed values using the on-shell renormalization scheme. The remaining parameters are in the diquark sector and a priori unknown. In principle, they can be calculated from QCD, but we consider them free. We renormalize the thermodynamic potential in the 2SC phase for two flavors and in the color-flavor-locked (CFL) phase for three flavors, determining the counterterms of the couplings in the diquark sector. We derive a set of renormalization group equations for these couplings that are used to improve the thermodynamic potential. As an application, we calculate the gap and the speed of sound in the ideal CFL phase. It is shown that the gap approaches a constant as $μ_{B} \to \infty$ and that the speed of sound relaxes to the conformal limit from above.
Comments:
13 pages, V2: typos fixed and references added
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2506.02941 [pdf]
7 citations

Affiliations

first authorsco-authorsvia INSPIRE