Nuclear Theory·nucl-th

Friday·May 15, 2026

10 papers—5 primary·5 cross-listed

01
Taming nuclear size and shape effects in superallowed beta-decay
Bingcheng He🇺🇸 · Mikhail Gorchtein🇩🇪 · Matthias Heinz🇺🇸 · Ben Ohayon🇮🇱 · Lucas Platter🇺🇸 · Chien-Yeah Seng🇺🇸
We present the first combined analysis of the statistical rate function f in superallowed beta decays with ab initio calculations and data. We focus on C10 to 10B, 14O to 14N and 26mAl to 26Mg, all of which are important channels for the precise determination of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element Vud. Nuclear charge form factors are obtained by combining experimental data on nuclear charge radii and theory calculations of ratios of moments with the in-medium similarity renormalization group, while the beta decay form factors are derived from exact isospin relations. This enables a rigorous study of the nuclear shape dependence in the statistical rate function f and the quantification of its uncertainties from both experiment and theory. The calculation leads to a more precise test for the first-row CKM unitarity with reduced theoretical uncertainties. This work demonstrates a reliable strategy for combining nuclear many-body calculations with high-precision nuclear data to describe beta decays at tree level for precision tests of the Standard Model.
nucl-thhep-phnucl-ex3 citations
02
Quantum Monte Carlo calculation of $δ_{C}$ in the superallowed beta decay of $^{10}$ C
Maria Piarulli · R. B. Wiringa · Alessandro Lovato · Garrett B. King · Saori Pastore
We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction $δ_{C}$ to the superallowed $β$ decay of $^{10} C$ . Using both phenomenological and chiral nuclear interactions, we evaluate the Fermi matrix element and quantify its deviation from the canonical $2$ value. The resulting $δ_{C}$ values lie in the range $\approx 0.15$ -- $0.25%$ and are consistent, within sizable uncertainties (approximately $34%$ -- $65%$ relative), across Hamiltonians, indicating no statistically significant dependence on the choice of nuclear interaction. The extracted values of $V_{u d}$ are also found to be compatible with current determinations within these uncertainties.
nucl-thPRC(2026)·4 citations
03
Bayesian analysis of density profile of light dark matter elucidating the properties of dark matter admixed neutron stars in the presence of hyperons
Debashree Sen🇰🇷 · Atanu Guha🇰🇷 · Chang Ho Hyun🇰🇷
We study the impact of symmetry energy ( $S$ ), hyperons, and dark matter (DM) on structural and oscillatory properties of neutron stars (NSs). Uncertainty from hadronic equation of state for NSs is considered with 15 relativistic mean field models having slope parameter ( $L_{0}$ ) of $S$ in range $40 - 120$ MeV. DM admixed NSs (DMANSs) are described with feeble interaction between light DM fermions ( $χ$ ) with hadronic matter in the presence of hyperons via scalar ( $η$ ) and vector ( $ξ$ ) dark mediators. The masses $m_{χ}$ , $m_{η}$ and $m_{ξ}$ are related by self-interaction constraints from bullet cluster. DM self-interaction couplings are related to $m_{χ}$ by relic density constraint. The DM density is taken as an exponential function of baryon density with a free parameter $α$ . Uncertainty from DM model is incorporated by exploring the dependence on $m_{χ}$ and $α$ . Several DM search experiments have almost ruled out the existence of massive DM ( $≳$ GeV). Lately, pursuit for sub-GeV DM has attracted significant attention. Therefore, we consider $m_{χ} <$ 1 GeV and $α \leq$ 0.1 such that the contribution of DM to the total mass of the DMANSs is $< 10%$ . Comparing our results with various astrophysical constraints, we find that the HESS J1731-347 and GW170817 data are very important in determining the presence of light DM in NSs in moderate amount, relevant in the range $L_{0} ≲$ 58 MeV. Employing models of DMANSs that satisfy several observational data, we infer with Bayesian analysis, the likely ranges of $m_{χ}$ and $α$ are almost independent of the underlying hadronic model within 40 MeV $≲$ $L_{0}$ $<$ 58 MeV. In the absence of DM and with the most probable values of $m_{χ}$ and $α$ obtained from the Bayesian inference, we calculate the frequencies of non-radial $f$ - and $p_{1}$ -modes oscillation of NSs/DMANSs.
nucl-thhep-phhep-th0 citations
04
Fourth order correlation of baryon number and electric charge as a better magnetometer of QCD
Shijun Mao🇨🇳 · Shuai Yang🇨🇳 · Sicheng Lin🇨🇳 · Xinran Yang🇨🇳 · Guoyun Shao🇨🇳 · Wen-Chao Zhang🇨🇳
This work focuses on the fourth order correlations $χ_{31}^{B Q}$ , $χ_{31}^{QB}$ , $χ_{22}^{B Q}$ , $χ_{31}^{B S}$ , $χ_{31}^{S B}$ , $χ_{22}^{B S}$ , $χ_{31}^{QS}$ , $χ_{31}^{S Q}$ , $χ_{22}^{QS}$ , $χ_{211}^{B QS}$ , $χ_{211}^{QB S}$ , $χ_{211}^{S B Q}$ of baryon number $B$ , electric charge $Q$ and strangeness $S$ at finite temperature, magnetic field and vanishing quark chemical potential. The study is carried out in the framework of a three-flavor PNJL model, considering both cases with and without inverse magnetic catalysis effect. We find that, fourth order correlations $χ_{31}^{B Q}$ at chiral restoration phase transition is more sensitive to the magnetic field than other second order and fourth order correlations and fluctuations, and can be served as a more effective magnetometer of QCD.
nucl-th1 citation
05
Skyrme SV density-functional analysis of the $2 ν β β$ decay in $^{76}$ Ge
Jan Miśkiewicz🇵🇱 · Jakub Wysocki🇵🇱 · Wojciech Satuła🇵🇱
We present a theoretical study of the two-neutrino $0^{+} \to 0^{+}$ double beta decay of $^{76}$ Ge within the No-Core Configuration-Interaction framework based on the Skyrme SV density functional. We analyze three allowed decay scenarios distinguished by the $[n, m] \equiv [(ν g_{9/2})^{n}, (π g_{9/2})^{m}]$ occupancy of the $0 g_{9/2}$ intruder orbital, which remains conserved to high precision, as well as by the triaxiality of the daughter nucleus. The resulting $2 ν β β$ nuclear matrix element is found to depend strongly on the scenario. For the energetically favored $[4, 2]$ occupancy, we obtain $∣ M^{2 ν} ∣ = 0.069 (7)$ ~MeV $^{- 1}$ . For the $[6, 0]$ occupancy, the matrix element further depends on the triaxiality parameter $γ$ of the two coexisting, closely lying minima in $^{76}$ Se, yielding $∣ M^{2 ν} ∣ = 0.040 (4)$ ~MeV $^{- 1}$ at $γ = 17. 7^{\circ}$ and $∣ M^{2 ν} ∣ = 0.22 (2)$ ~MeV $^{- 1}$ at $γ = 41. 9^{\circ}$ . The latter result is consistent with the empirical value reported by A. S. Barabash, $∣ M^{2 ν} ∣ = 0.204 (14)$ ~MeV $^{- 1}$ , while the two former results are comparable to existing calculations based on energy-density-functional frameworks. Our calculations reveal challenges in the precise determination of the $∣ M^{2 ν} ∣$ for the $^{76}$ Ge decay. The structural complexity, triaxiality, and shape coexistence identified in the analyzed nuclei imply a strong sensitivity to fine details of the interaction and configuration mixing. This, in turn, explains the difficulties in theoretical modeling of the $∣ M^{2 ν} ∣$ matrix elements for the $^{76}$ Ge decay, which vary by almost an order of magnitude in the available literature.
nucl-th0 citations
06
Radiative decays of the 1 $P$ , 1 $D$ , 2 $S$ , and 2 $P$ $Λ_{c}$ and 1 $D$ , 2 $S$ , and 2 $P$ $Ξ_{c}$ charmed baryons
R. Gamboa-Goni🇲🇽 · Ailier Rivero-Acosta🇲🇽 · H. García-Tecocoatzi🇲🇽 · A. Gutierrez-Rodriguez🇲🇽 · A. Ramirez-Morales🇲🇽 · E. Santopinto🇮🇹 · Carlos Alberto Vaquera-Araujo🇲🇽
We analyze the radiative decays of the the 1 $P$ , 1 $D$ , 2 $S$ , and 2 $P$ $Λ_{c}$ and 1 $D$ , 2 $S$ , and 2 $P$ $Ξ_{c}$ charmed baryons, which belong to the flavor anti-triplet ( $3 ˉ_{F}$ ), using the constituent quark model. We compute electromagnetic transitions from ground and $P$ -wave states to ground states, as well as from second-shell states to both ground and $P$ -wave final states. Electromagnetic decay widths are especially valuable for identifying resonances when multiple states share the same mass and total decay width. We give branching ratios which can confirm the assignment of the $Ξ_{c} (3055)$ reported by LHCb. We also give branching ratios that can support the assignment of the $Ξ_{c} (3080)$ , and discuss the possibilities for the $Ξ_{c} (3080)$ to be the 1 $D$ state with $J^{P} = 5/ 2^{+}$ or the 2 $S$ with $J^{P} = 1/ 2^{+}$ . For the first time, this work provides calculations of electromagnetic decays for $D_{ρ}$ -wave states, $ρ - λ$ mixed configurations, and $ρ$ -mode radially excited states in singly charmed baryons of the flavor anti-triplet. Both experimental and model-dependent uncertainties are taken into account throughout our analysis.
↳ hep-phnucl-thPRD(2026)·0 citations
07
Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field
Ugo Mire🇩🇪 · Bernd-Jochen Schaefer🇩🇪
A comprehensive study of the phase structure of the two-flavor quark-meson-diquark model is presented within the nonperturbative functional renormalization group framework. The influence of mesonic fluctuations beyond the mean-field approximation is investigated, and two-point functions of the diquark fields are computed at finite real-time frequencies. Renormalization group consistency of the effective potential is ensured in order to avoid cutoff artifacts. Substantial modifications of the phase structure are found once mesonic fluctuations are included, and for sufficiently strong diquark couplings the dynamics become dominated by diquark condensation. These effects are elucidated through an analysis of the diquark pole mass and the Silver-Blaze property.
↳ hep-phhep-thnucl-th2 citations
08
Matching collinear factorization with color-glass condensate for inclusive and exclusive deep inelastic scattering
Shohini Bhattacharya🇺🇸 · Chuan-Qi He🇨🇳 · Zhong-Bo Kang🇺🇸 · Diego Padilla🇺🇸 · Jani Penttala🇺🇸
Collinear factorization and color-glass condensate (CGC) effective field theory are generally treated as separate approaches for calculating scattering amplitudes, valid in different kinematic regimes. For deep inelastic scattering at high photon virtuality and high center-of-mass energy, however, both of these approaches should be applicable. By expressing collinear parton distributions and generalized parton distributions in the shockwave approximation, we show that the resulting collinear-factorization amplitudes exactly reproduce the large- $Q^{2}$ expansion of CGC amplitudes for inclusive deep inelastic scattering, deeply virtual Compton scattering, and deeply virtual meson production. The matching holds directly at the amplitude level and includes both logarithmically enhanced and finite contributions. Our results establish the consistency between collinear factorization and the CGC in their common region of validity, clarify the origin of large momentum logarithms within the CGC framework, and provide a path toward combining high-energy and collinear evolution in a unified description of hadronic structure at small $x$ and large momentum scales.
↳ hep-phnucl-th1 citation
09
NA61/SHINE results on search for critical point
Nikolaos Davis🇵🇱
The NA61/SHINE experiment at the CERN SPS is a multipurpose fixed-target spectrometer for charged and neutral hadron measurements. Its research program includes studies of strong interactions as well as reference measurements for neutrino and cosmic-ray physics. One major goal of its strong interaction program is to determine the existence and pinpoint the location of the QCD critical point, an object of both experimental and theoretical studies. This contribution will summarize the current status of NA61/SHINE critical point searches in nucleus-nucleus collisions, in the collision energy range $s_{N N} = 5 - 17$ ~GeV. The review includes studies of fluctuations of net-electric charge, femtoscopy analysis of $π - π$ pairs, as well as intermittency of protons and negatively charged hadrons. No clear indication of the critical point has been observed so far. Finally, we report on the development of novel methods aimed at solving the long-standing problem of bin-by-bin correlations in experimental intermittency analysis, and for a more accurate handling of systematics and uncertainties.
↳ nucl-exhep-exnucl-th0 citations
10
Deforming the Trail: Baseline Quantum Circuitry for $SU(2)_{k}$ Lattice Gauge Theory
Zoë Webb-Mack🇺🇸 · Natalie Klco🇺🇸
Quantifying quantum resources for simulating the fundamental forces of Nature is sensitive to the mapping of gauge fields onto finite quantum computational architectures. When locally truncating lattice gauge theories in the irreducible representation basis, it has been proposed to further deform the theory via quantum groups. The purpose of this deformation is (1) to provide an infinite tower of finite-dimensional ( $d = k + 1$ ) groups systematically approximating the infinite-dimensional gauge links and (2) to restore the physical unitarity of a plaquette operator diagonalization procedure analytically derived from the field continuum by recontracting vertex pairs. For the SU(2) $_{k}$ Yang-Mills pure-gauge theory, we provide a constructive strategy of gauge-variant completions to extend this unitarity to the entire computational Hilbert space, leading to well-defined time evolution unitaries as targets for optimized circuit synthesis. Leveraging basic circuit decompositions and symmetries of the diagonalized plaquette operator, we report resource upper-bounds on the generalized-controlled-X two-qudit gates for arbitrary local truncation $d$ , reducing estimates and scaling relative to the non-deformed theory by three polynomial powers from $O (d^{8})$ to $O (d^{5})$ . Examining the stronger q-deformed gauge constraint, which softens the total flux at vertices, we show that the physical Hilbert space dimension of the deformed plaquette operator scales equivalently to its non-deformed counterpart with a constant factor $0.2563 (5)$ . Thus, despite affecting interactions at all scales as exemplified by the observed flux hierarchy inversion symmetry, q-deformation continues to pass scrutiny as a reliable truncation offering advantages in quantum circuit synthesis.
↳ quant-phhep-latnucl-th3 citations

Affiliations

first authorsco-authorsvia INSPIRE