Nuclear Theory·nucl-th

Thursday·June 11, 2026

9 papers—5 primary·4 cross-listed

01
[Submitted on 9 Jun 2026]
New Developments in Light-Front Nuclear Structure
Dmitriy N. Kim
Motivated by forthcoming high-energy experiments at Jefferson Lab and the Electron-Ion Collider, this dissertation develops a novel relativistic formulation of nuclear structure. While previous scattering models were updated to include nucleon-nucleon short-range correlations (SRCs) to explain cross-section plateaus, modern high-kinematics experiments require a relativistic approach. We reformulate conventional tools into a light-front-quantized framework, utilizing density functional theory and similarity renormalization group techniques. Our calculations successfully reproduce nuclear binding energies, shell structure, and SRC physics. However, we show that a purely nucleonic description fails to fully capture inclusive electron-nucleus data or the plateaus at high Bjorken- $x_{B}$ . This demonstrates the critical importance of inelastic final-state interactions currently omitted by standard SRC phenomenology.
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2606.11458 [pdf]
0 citations
02
[Submitted on 10 Jun 2026]
Application of the Skyrme Hartree-Fock-Bogoliubov Theory to WIMP-Nucleus Interactions in 40Ar
N. Krishnan🇦🇺 · R. Abdel Khaleq🇦🇺 · C. Simenel🇦🇺
WIMP scattering from 40Ar is investigated using a self-consistent Skyrme Hartree-Fock-Bogoliubov (HFB) approach. Nuclear form factors relevant to dark matter direct detection are calculated from the resulting one-body density matrix elements and compared with shell-model predictions. Good agreement is found for the spin-independent response, while significant differences are observed for the spin-orbit response due to variations in single-particle occupancies. The effects of particle-number projection are shown to be small for 40Ar. These results demonstrate the sensitivity of certain dark matter response channels to the underlying nuclear structure model and establish a framework for extending mean-field calculations to nuclei beyond the reach of large-scale shell-model studies.
Comments:
17 pages, 3 figures
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
arXiv:
2606.11668 [pdf]
0 citations
03
[Submitted on 10 Jun 2026]
Saturation of Nuclear Binding from Lattice Hamiltonians
Maxwell Rothman · Gaute Hagen · Matthias Heinz · Thomas Papenbrock
There is a conundrum regarding the binding of $α$ particles in nuclei. On one hand, auxiliary-field Monte Carlo simulations of Hamiltonians on discrete spatial lattices proposed that attractive two-nucleon potentials, alone or together with attractive three-nucleon potentials, yield accurate nuclear binding. On the other hand, such Hamiltonians typically overbind all but the lightest nuclei in continuum-space approaches. We address this puzzle by performing Hartree-Fock computations of the light nuclei $^{4}$ He, $^{8}$ Be, $^{12}$ C, and $^{16}$ O, and of nuclear and neutron matter using established lattice Hamiltonians. These variational upper bounds for the ground-state energies show that the Hamiltonians with only two-nucleon potentials do not yield accurate binding, in contrast to the results from auxiliary-field Monte Carlo simulations. The case is different for Hamiltonians with three-nucleon potentials although it is the dense packing on the lattice -- and not repulsive potentials -- that yield a constant binding energy per nucleon.
Comments:
14 pages total, 4 figures
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2606.12166 [pdf]
2 citations
04
[Submitted on 10 Jun 2026]
Recent applications of the subtracted second RPA method
Danilo Gambacurta🇮🇹 · Marcella Grasso🇫🇷
In this review, we discuss the most recent developments and applications of the Subtracted Second RPA (SSRPA), an extension of the Second RPA (SRPA), which overcomes its pathological issues encountered within the Energy Density Functional theory. After recalling the formal properties of the SRPA and SSRPA, the anomalous behavior of SRPA is shown and discussed by presenting several applications with different kinds of nuclear interactions. The most recent pathology-free SSRPA studies are then presented both for charge-conserving and charge-exchange nuclear excitations. The comparison with experimental data is presented to assess and quantify the improvement introduced by the SSRPA with respect to the RPA and SRPA. The impact of beyond-mean-field correlations induced in SSRPA is also qualitatively estimated in connection with the modeling of the nuclear equation of state. We conclude by discussing the future perspectives of the SSRPA, focusing on its potential connections with some current experimental challenges and outlining necessary theoretical extensions and numerical developments.
Comments:
Accepted for publication in Progress in Particle and Nuclear Physics
Subjects:
Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:
2606.12253 [pdf]
PPNP(2026)·0 citations
05
[Submitted on 10 Jun 2026]
The Confined beta-Soft rotor model in rare-earth nuclei
Jim A. Papadopoulos · T.J. Mertzimekis · P. Koseoglou · P. Vasileiou · Dennis Bonatsos
Contemporary theoretical descriptions of nuclear structure rely mainly on microscopic, single-particle frameworks often in competition with collective degrees of freedom, especially when deformation plays a dominant role. Such phenomena are prominent in the rare-earth region, where rotational band structures and enhanced electric quadrupole transitions are systematically examined. The Confined beta-Soft (CBS) rotor model, introduced by N. Pietralla and O.M. Gorbachenko, bridges the gap between the X(5) critical point and the rigid-rotor limit in the region where the R_4/2 = E(4+)/E(2+) ratio lies between 2.904 and 3.333. In the present work, the CBS framework is employed to calculate ground-state band energies, associated B(E2) transition rates, and beta-band excitations of even-even nuclei in the rare-earth region. The theoretical results are systematically compared with available experimental data, and predictions are provided for nuclear observables that have not yet been measured, offering guidance for future experimental investigations.
Comments:
51 pages, 22 figures, 3 tables
Subjects:
Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:
2606.12264 [pdf]
Atom.Data Nucl.Data Tabl.(2026)·0 citations
06
[Submitted on 7 Jun 2026] (cross-list from astro-ph.HE)
Post-Merger Gravitational-Wave Uncertainties of Binary Neutron Stars under Multi-Messenger EOS Constraints
Yong-Jia Huang🇨🇳 · Luca Baiotti🇯🇵
The high-frequency gravitational waves emitted by a binary neutron star merger remnant carry information on matter at densities and temperatures beyond those reached in isolated neutron stars. We quantify how tightly current multi-messenger constraints already determine the dominant post-merger frequency $f_{2, mean}$ . Adopting a set of cold equations of state (EOSs) constrained jointly by gravitational-wave tidal deformability, NICER mass--radius measurements, massive-pulsar masses, chiral effective field theory at low density, and perturbative QCD at asymptotically high density, for each binary mass we select the softest and stiffest models of the multi-messenger posterior and follow their coalescence with fully general-relativistic hydrodynamics simulations. Together with a broad set of EOSs drawn from the literature ( $82$ models in total), these simulations show that, once the binary mass and a single measure of the stellar compactness ( $Λ$ or $R$ ) are held fixed, the residual spread of $f_{2, mean}$ is only $\sim 100 Hz$ , a factor of several below the $≳ 500 Hz$ range spanned by an EOSs set including those already disfavored by the data. This tight calibration of the cold-matter prediction implies that a future high-frequency detection departing from it would point directly to additional physics, such as a hadron--quark transition occurring at finite temperature. We further confirm the quasi-universal relation $(f_{1} + f_{3}) /2 \approx f_{2, mean}$ to within $\sim 116 Hz$ , which provides a model-independent estimate of $f_{2, mean}$ from the secondary spectral peaks.
Comments:
9 pages, 8 figures. Accepted for publication in Classical and Quantum Gravity as an invited article for the Focus Issue "Focus on insights from kHz Gravitational Waves"
Subjects:
High Energy Astrophysical Phenomena (astro-ph.HE); General Relativity and Quantum Cosmology (gr-qc); Nuclear Theory (nucl-th)
arXiv:
2606.08522 [pdf]
Class.Quant.Grav.(2026)·0 citations
07
[Submitted on 9 Jun 2026] (cross-list from nucl-ex)
Polarized Nuclear DVCS at the EIC
Jackson R. Pybus🇺🇸 · Xuan Li🇺🇸 · Liliet Calero-Diaz🇺🇸
The Electron-Ion Collider (EIC) will enable a series of measurements at unprecedented energies and luminosities, providing new opportunities to investigate the microscopic structure of nucleons and nuclei at small $x_{B}$ . Exclusive processes such as Deeply Virtual Compton Scattering (DVCS) offer unique access to the three-dimensional structure of hadrons through Generalized Parton Distributions (GPDs), while polarized electron and ion beams further enable detailed studies of spin-dependent structure. A model for coherent DVCS on polarized $^{3}$ Heis developed and applied to simulations of for $9 \times 166$ -GeV $e^{3}$ He collisions at the EIC. Using this framework, the statistical precision achievable is estimated for measurements of beam-spin asymmetries and for the extraction of the Compton Form Factors (CFFs) $H_{^{3} He}$ and $H ~_{^{3} He}$ . Early EIC data are found to enable precise differential measurements of the unpolarized CFF $H_{^{3} He}$ and to provide significant constraints on its real and imaginary components. By contrast, meaningful constraints on the polarized CFF $H ~_{^{3} He}$ require substantially larger integrated luminosities. The kinematics of the recoil $^{3}$ He nucleus are also examined, and the far-forward detector capabilities at the EIC required to tag the intact nucleus and perform fully exclusive measurements of coherent nuclear DVCS are discussed.
Subjects:
Nuclear Experiment (nucl-ex); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2606.11491 [pdf]
0 citations
08
[Submitted on 10 Jun 2026] (cross-list from quant-ph)
Bound State Solutions of the Relativistic Finite-difference Equation for the Ring-shaped Quesne Oscillator Potential
Sh.M.Nagiyev · Narmin Nasibova · V. A. Tarverdiyeva · G. H. Guliyeva
We solve exactly the relativistic finite-difference equation for the quantum three-dimensional ring-shaped Quesne oscillator potential. Our investigation is based on a finite-difference version of relativistic quantum mechanics. So-called relativistic configurational r-space is a key concept here. We show that the radial wavefunctions and angular wavefunctions are expressed through the continuous dual Hahn polynomials and Jacobi polynomials, respectively. A discrete energy spectrum has been found. The radial wave functions and energy spectrum have the correct nonrelativistic limit. We also build a dynamical symmetry group SU (1, 1) for the radial part of the equation of motion, which allows us to find the energy spectrum purely algebraically.
Comments:
19 pages, 9 figures
Subjects:
Quantum Physics (quant-ph); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
arXiv:
2606.12082 [pdf]
0 citations
09
[Submitted on 10 Jun 2026] (cross-list from hep-ph)
Factorizing quarkonium LDMEs and TMDSTFs using effective field theory
Marston Copeland
We use effective field theory to factorize production matrix elements that appear in the NRQCD framework for quarkonium cross sections. By applying a Hubbard-Stratonovich transformation and appropriate field redefinitions, we show that the soft and ultrasoft sectors of NRQCD can be decoupled from the heavy quark and antiquark fields in a hybrid vNRQCD/pNRQCD Lagrangian at leading order in the velocity power-counting. This enables us to re-factorize quarkonium production matrix elements in terms of matrix elements of color-singlet composite fields, which we can write as the wave-function at the origin, and state independent vacuum correlators of chromo-electric and chromo-magnetic gluon fields. This approach verifies powerful relationships between the LDMEs of different S-wave quarkonia originally derived using pNRQCD. Additionally, it allows us to derive new relationships for the production matrix elements used in the transverse momentum dependent factorization (TMD) framework, known as TMD soft transition functions, providing a much stronger set of constraints on these nonperturbative operators. This work significantly advances our understanding of quarkonium production, particularly in the TMD framework.
Comments:
Proceedings for the 33rd International Workshop on Deep Inelastic Scattering and Related Subjects (DIS2026). 7 pages, 3 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2606.12175 [pdf]
0 citations

Affiliations

first authorsco-authorsvia INSPIRE