We discuss the production of <math altimg='si10.svg'><mrow><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow></math> pairs in <math altimg='si2.svg'><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>&#8722;</mo></msup></mrow></math> collisions, where <italic>D</italic> refers to either <italic>D</italic> 0 or <math altimg='si30.svg'><msup><mi>D</mi><mo>+</mo></msup></math>. The continuum mechanism with the <italic>t</italic>/ <italic>u</italic>-channel vector-meson <italic>D</italic>* exchanges are considered. The results of the calculation depend on the parameter of the off-shell form-factor for the virtual <italic>D</italic>* mesons. The <italic>D</italic>* <italic>D&#947;</italic> coupling constants are found from the <italic>D</italic>*&#8239;&#8594;&#8239; <italic>D&#947;</italic> decays. We find relatively large contribution for the <math altimg='si4.svg'><mrow><msup><mi>D</mi><mn>0</mn></msup><msup><mrow><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow><mn>0</mn></msup></mrow></math> channel and much smaller contribution in the <math altimg='si1.svg'><mrow><msup><mi>D</mi><mo>+</mo></msup><msup><mi>D</mi><mo>&#8722;</mo></msup></mrow></math> channel. In the second case we consider also the <italic>D</italic> &#8239;&#177;&#8239; exchanges. We conclude that the bump at <math altimg='si31.svg'><mrow><msub><mi>M</mi><mrow><msup><mi>D</mi><mn>0</mn></msup><msup><mrow><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow><mn>0</mn></msup></mrow></msub><mo linebreak='goodbreak'>=</mo><mn>3.8</mn></mrow></math> GeV observed by the Belle and BaBar Collaborations has rather continuum origin than it corresponds to the broad resonance <italic>&#967;</italic> <inf><italic>c</italic>0</inf>(3860). We discuss also production of the <italic>&#967;</italic> <inf><italic>c</italic>2</inf>(3930) resonance which is a candidate for the <italic>&#967;</italic> <inf><italic>c</italic>2</inf>(2 <italic>P</italic>) state. This state can decay into both <math altimg='si10.svg'><mrow><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow></math> channels, however the branching fractions are not well known at present. From a comparison of our model results to the BaBar data we find <math altimg='si32.svg'><mrow><mi>B</mi><mo>(</mo><msub><mi>&#967;</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mrow><mo>(</mo><mn>3930</mn><mo>)</mo></mrow><mo>&#8594;</mo><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover><mo>)</mo><mo>=</mo><mn>0.58</mn><mo>&#177;</mo><mn>0.13</mn></mrow></math> using the two-photon width <math altimg='si33.svg'><mrow><msub><mstyle mathvariant='normal'><mi>&#915;</mi></mstyle><mrow><mi>&#947;</mi><mi>&#947;</mi></mrow></msub><mo linebreak='goodbreak'>=</mo><mn>0.544</mn></mrow></math> keV (obtained for the Buchm&#252;ller-Tye potential) evaluated within the light-front approach (NRQCD limit). Our finding of <math altimg='si34.svg'><mrow><msub><mstyle mathvariant='normal'><mi>&#915;</mi></mstyle><mrow><mi>&#947;</mi><mi>&#947;</mi></mrow></msub><mo linebreak='goodbreak'>&#215;</mo><mi>B</mi><mrow><mo>(</mo><msub><mi>&#967;</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mrow><mo>(</mo><mn>3930</mn><mo>)</mo></mrow><mo>&#8594;</mo><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mn>0.32</mn><mo>&#177;</mo><mn>0.07</mn></mrow></math> keV is close to the Belle and BaBar results. Realistic predictions of the differential distributions in several variables and integrated cross-sections are given for the Belle II kinematics.

Poland

Izabela Babiarz

Piotr Lebiedowicz

Wolfgang Schäfer

Antoni Szczurek

Competition of <italic>&#967;<inf>c</inf></italic>(2 <italic>P</italic>) quarkonia and continuum in <math altimg='si9.svg'><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>&#8722;</mo></msup><mo>&#8594;</mo><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>&#8722;</mo></msup><mi>D</mi><mover accent='true'><mi>D</mi><mo>&#175;</mo></mover></mrow></math>

We study a system made from <math altimg='si6.svg'><mrow><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> with charge 3, isospin <math altimg='si7.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>3</mn><mo linebreak='goodbreak'>/</mo><mn>2</mn></mrow></math>, spin <math altimg='si8.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>3</mn></mrow></math>, and a quark content of <math altimg='si9.svg'><mrow><mi>c</mi><mover accent='true'><mi>d</mi><mo>&#175;</mo></mover><mover accent='true'><mi>s</mi><mo>&#175;</mo></mover><mi>u</mi><mover accent='true'><mi>s</mi><mo>&#175;</mo></mover><mi>u</mi></mrow></math>, which make it highly exotic relative to the standard <math altimg='si10.svg'><mrow><mi>q</mi><mover accent='true'><mi>q</mi><mo>&#175;</mo></mover></mrow></math> structure of mesons. The interaction of the three body system is obtained starting from a cluster of <math altimg='si11.svg'><mrow><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> in <math altimg='si12.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>1</mn></mrow></math> and <math altimg='si13.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>2</mn></mrow></math>, that in different works has been found bound, and adding to it an extra <math altimg='si14.svg'><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></math> with spin aligned with those of the vectors of the cluster. We find that the <italic>K</italic>* <italic>K</italic>* interaction in <math altimg='si12.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>1</mn></mrow></math> and <math altimg='si13.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>2</mn></mrow></math> is repulsive, but its strength is small compared to that of <math altimg='si11.svg'><mrow><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> in <math altimg='si12.svg'><mrow><mi>I</mi><mo linebreak='goodbreak'>=</mo><mn>1</mn></mrow></math> and <math altimg='si13.svg'><mrow><mi>J</mi><mo linebreak='goodbreak'>=</mo><mn>2</mn></mrow></math>, such that we find a three body state bound by about 100&#8201;MeV with respect to the mass of a <math altimg='si14.svg'><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></math> and the <math altimg='si11.svg'><mrow><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> cluster. The width of the state, of about 10&#8201;MeV, is much smaller than the binding, which facilitates its observation. We suggest to find that state by measuring the invariant mass of <italic>KDK</italic>*, something feasible in present experimental facilities.

China

Wen-Hao Jia

Pei-Shen Su

Wei-Hong Liang

Spain

Raquel Molina

Eulogio Oset

Superexotic <math altimg='si6.svg'><mrow><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>K</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup></mrow></math> bound state

We propose a novel concept of astrophysical mirroring in the Schwarzschild framework, which emerges as a direct consequence of gravitational lensing effects occurring in the immediate vicinity of extremely dense massive objects within spacetime. Through rigorous theoretical calculations and numerical ray-tracing analysis, we demonstrate that sufficiently compact astrophysical objects possess the capability to induce such extreme curvature in spacetime that the resulting gravitational field can bend light rays to extraordinary degrees, creating what we term a “reflection image” or mirror-like appearance of the source in distant regions of space. We discuss the theoretical framework as well as the observational consequences of this phenomenon.

India

Bikramarka S. Choudhury

Aritra Sanyal

Md Khalid Hossain

Farook Rahaman

Revisiting the gravitational mirroring in presence of compact objects

We propose <italic>Scalar&#8211;Tensor Baryogenesis</italic> (STB), in which the <italic>CP</italic>-violating bias needed for baryogenesis is sourced by the <italic>gravitational</italic> scalars that appear in scalar&#8211;tensor representations of modified gravity. Derivative couplings <math altimg='si12.svg'><mrow><msubsup><mi>M</mi><mo>*</mo><mrow><mo>&#8722;</mo><mi>d</mi></mrow></msubsup><msub><mi>&#8711;</mi><mi>&#956;</mi></msub><mi>f</mi><mrow><mo>(</mo><msub><mi>&#981;</mi><mi>i</mi></msub><mo>)</mo></mrow><mspace width='0.16em' /><msubsup><mi>J</mi><mrow><mi>B</mi><mo>&#8722;</mo><mi>L</mi></mrow><mi>&#956;</mi></msubsup></mrow></math> act as an effective chemical potential <math altimg='si13.svg'><mrow><msub><mi>&#956;</mi><mrow><mi>B</mi><mo>&#8722;</mo><mi>L</mi></mrow></msub><mo>&#8733;</mo><mover accent='true'><mi>f</mi><mo>&#729;</mo></mover></mrow></math> in an FRW background, driving the plasma to a nonzero equilibrium <math altimg='si14.svg'><mrow><mi>B</mi><mspace width='-0.16em' /><mo linebreak='goodbreak'>&#8722;</mo><mspace width='-0.16em' /><mi>L</mi></mrow></math> density while <math altimg='si14.svg'><mrow><mi>B</mi><mspace width='-0.16em' /><mo linebreak='goodbreak'>&#8722;</mo><mspace width='-0.16em' /><mi>L</mi></mrow></math>-violating reactions are active. The asymmetry freezes in at the dynamically determined decoupling temperature <italic>T<inf>D</inf></italic> fixed by <math altimg='si15.svg'><mrow><msub><mstyle mathvariant='normal'><mi>&#915;</mi></mstyle><mrow><mi>B</mi><mo>&#8722;</mo><mi>L</mi></mrow></msub><mrow><mo>(</mo><msub><mi>T</mi><mi>D</mi></msub><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mi>H</mi><mrow><mo>(</mo><msub><mi>T</mi><mi>D</mi></msub><mo>)</mo></mrow></mrow></math>, giving <math altimg='si16.svg'><mrow><msub><mi>n</mi><mi>b</mi></msub><mo linebreak='goodbreak'>/</mo><mi>s</mi><mo>&#8733;</mo><msub><mrow><mo>[</mo><mover accent='true'><mi>f</mi><mo>&#729;</mo></mover><mo>/</mo><mrow><mo>(</mo><msubsup><mi>M</mi><mo>*</mo><mi>d</mi></msubsup><mi>T</mi><mo>)</mo></mrow><mo>]</mo></mrow><msub><mi>T</mi><mi>D</mi></msub></msub></mrow></math> up to sphaleron conversion. A key structural result is an explicit <italic>on-shell/background</italic> map&#8212;through the Legendre relations defining the scalar potential&#8212;between curvature-based geometric Gravitational baryogenesis operators and their scalar&#8211;tensor counterparts, together with a canonical Einstein-frame description closely paralleling spontaneous/quintessential baryogenesis, but with a gravitational (not ad hoc matter) biasing field. The map is not a mere change of variables: it imposes consistency conditions (existence of the scalar&#8211;tensor branch, local invertibility of the Legendre map, and validity of the spectator regime), thereby restricting the admissible operator space and tying <math altimg='si13.svg'><mrow><msub><mi>&#956;</mi><mrow><mi>B</mi><mo>&#8722;</mo><mi>L</mi></mrow></msub><mo>&#8733;</mo><mover accent='true'><mi>f</mi><mo>&#729;</mo></mover></mrow></math> to the modified-gravity dynamics once <italic>F</italic> is specified. As an illustration, we implement STB in <math altimg='si1.svg'><mrow><mi>F</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><msup><mi>R</mi><mrow><mn>1</mn><mo>+</mo><mrow><mi>&#949;</mi></mrow></mrow></msup></mrow></math> with <math altimg='si14.svg'><mrow><mi>B</mi><mspace width='-0.16em' /><mo linebreak='goodbreak'>&#8722;</mo><mspace width='-0.16em' /><mi>L</mi></mrow></math> violation from the dimension-five Weinberg operator, and reproduce the observed baryon asymmetry for <math altimg='si17.svg'><mrow><mrow><mi>&#949;</mi></mrow><mo linebreak='goodbreak'>=</mo><mi mathvariant='script'>O</mi><mo>(</mo><msup><mn>10</mn><mrow><mo>&#8722;</mo><mn>6</mn></mrow></msup><mo>)</mo></mrow></math> with <italic>T<inf>D</inf></italic>&#8239;&#8771;&#8239;8.5&#8239;&#215;&#8239;10 13&#8201;GeV and negligible backreaction, while satisfying nucleosynthesis bounds and keeping the expansion arbitrarily close to the GR radiation solution.

Portugal

David S. Pereira

Scalar–tensor baryogenesis: a scalar–tensor completion of gravitational baryogenesis

Motivated by the successful application of Heavy Quark Effective Field Theory in describing decays from heavy to light mesons, this work explores its applicability to the semileptonic decays of charmed mesons. So in this paper we investigate the <math altimg='si38.svg'><mrow><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mrow><mo>(</mo><mo>&#8242;</mo><mo>)</mo></mrow></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub></mrow></math> transition form factors using the light-cone sum rules approach within the framework of heavy-quark effective field theory. To address the large uncertainties arsing from the <italic>&#951;</italic> (&#8242;)-meson twist-3 distribution amplitudes, we employ the right-handed chiral correlation function. By applying the converging simplified series expansion method, we extrapolate the form factors to the entire physical <italic>q</italic> 2-region. Our analysis yields the branching fractions precise predictions for semi-leptonic decays <math altimg='si38.svg'><mrow><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mrow><mo>(</mo><mo>&#8242;</mo><mo>)</mo></mrow></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub></mrow></math> with : <math altimg='si49.svg'><mrow><mi mathvariant='script'>B</mi><mrow><mo>(</mo><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><mi>&#951;</mi><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mn>2</mn><mo>.</mo><msubsup><mn>300</mn><mrow><mo>&#8722;</mo><mn>0.227</mn></mrow><mrow><mo>+</mo><mn>0.230</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si39.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>e</mi></mrow></math>) and <math altimg='si50.svg'><mrow><mn>2</mn><mo>.</mo><msubsup><mn>249</mn><mrow><mo>&#8722;</mo><mn>0.206</mn></mrow><mrow><mo>+</mo><mn>0.209</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si51.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>&#956;</mi></mrow></math>); <math altimg='si52.svg'><mrow><mi mathvariant='script'>B</mi><mrow><mo>(</mo><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mo>&#8242;</mo></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub><mo>)</mo></mrow><mo linebreak='goodbreak'>=</mo><mn>0</mn><mo>.</mo><msubsup><mn>861</mn><mrow><mo>&#8722;</mo><mn>0.093</mn></mrow><mrow><mo>+</mo><mn>0.095</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si39.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>e</mi></mrow></math>) and <math altimg='si53.svg'><mrow><mn>0</mn><mo>.</mo><msubsup><mn>821</mn><mrow><mo>&#8722;</mo><mn>0.080</mn></mrow><mrow><mo>+</mo><mn>0.082</mn></mrow></msubsup><mo>%</mo></mrow></math> ( <math altimg='si51.svg'><mrow><mi>&#8467;</mi><mo linebreak='goodbreak'>=</mo><mi>&#956;</mi></mrow></math>). The derived lepton flavor universality ratios <math altimg='si54.svg'><mrow><msubsup><mi>R</mi><mrow><mi>&#956;</mi><mo>,</mo><mi>e</mi></mrow><mi>&#951;</mi></msubsup><mo linebreak='goodbreak'>=</mo><mn>0</mn><mo>.</mo><msubsup><mn>977</mn><mrow><mo>&#8722;</mo><mn>0.006</mn></mrow><mrow><mo>+</mo><mn>0.008</mn></mrow></msubsup></mrow></math> and <math altimg='si55.svg'><mrow><msubsup><mi>R</mi><mrow><mi>&#956;</mi><mo>,</mo><mi>e</mi></mrow><msup><mi>&#951;</mi><mo>&#8242;</mo></msup></msubsup><mo linebreak='goodbreak'>=</mo><mn>0</mn><mo>.</mo><msubsup><mn>953</mn><mrow><mo>&#8722;</mo><mn>0.009</mn></mrow><mrow><mo>+</mo><mn>0.011</mn></mrow></msubsup></mrow></math> are consistent with lasted BESIII experimental measurements. Additionally, the forward-backward asymmetry parameters <math altimg='si56.svg'><mrow><mrow><mo>&#9001;</mo><msubsup><mi mathvariant='script'>A</mi><mrow><mrow><mi mathvariant='normal'>F</mi></mrow><mi>B</mi></mrow><mi>&#951;</mi></msubsup><mo>&#9002;</mo></mrow><mo linebreak='goodbreak'>=</mo><mo>&#8722;</mo><mn>0</mn><mo>.</mo><msubsup><mn>034</mn><mrow><mo>&#8722;</mo><mn>0.003</mn></mrow><mrow><mo>+</mo><mn>0.003</mn></mrow></msubsup></mrow></math> and <math altimg='si57.svg'><mrow><mrow><mo>&#9001;</mo><msubsup><mi mathvariant='script'>A</mi><mrow><mrow><mi mathvariant='normal'>F</mi></mrow><mi>B</mi></mrow><msup><mi>&#951;</mi><mo>&#8242;</mo></msup></msubsup><mo>&#9002;</mo></mrow><mo linebreak='goodbreak'>=</mo><mo>&#8722;</mo><mn>0</mn><mo>.</mo><msubsup><mn>073</mn><mrow><mo>&#8722;</mo><mn>0.008</mn></mrow><mrow><mo>+</mo><mn>0.007</mn></mrow></msubsup></mrow></math> suggest that no significant violation of lepton flavor universality in this decay process.

Ruiyu Zhou

Hai-Bing Fu

Yi Zhang

Wei Cheng

Probing <math altimg='si38.svg'><mrow><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>&#8594;</mo><msup><mi>&#951;</mi><mrow><mo>(</mo><mo>&#8242;</mo><mo>)</mo></mrow></msup><msup><mi>&#8467;</mi><mo>+</mo></msup><msub><mi>&#957;</mi><mi>&#8467;</mi></msub></mrow></math> semileptonic decay within LCSR under chiral heavy quark effective field theory

The aim of this letter is to study the universal thermodynamics and criticality of charged AdS black holes with string cloud in the bulk and in the boundary conformal field theory. For this system, we determined the critical quantities and noticed that the free energy in the bulk exhibits swallow tail behavior. The divergence of the heat capacity at criticality reflects a second-order phase transition in the bulk black hole system, which is holographically dual to a critical phenomenon in the strongly coupled boundary conformal field theory involving its effective degrees of freedom. Furthermore, we tried to determine the nature of interactions between black hole molecules in the boundary CFT and in the bulk, which is novel for charged AdS black holes with string clouds.

Aditya Singh

Sandip Mahish

Criticality of charged AdS black holes with string clouds in boundary conformal field theory

The Higgs boson is often compared to a small ripple on a vast, calm ocean. This “ocean” is the universal Higgs vacuum expectation value, ≈ 246 GeV, permeating all space and generating particle masses. Its remarkable uniformity reflects the large-scale nature of the universe. Here I argue that the Higgs field plays a far deeper role. In regions of extreme gravity near singularities, it becomes a non-perturbative, space-time–dependent field that creates new space-time domains beyond gravitational singularities—new regions governed by antigravity. This mechanism produces dramatic dynamics inside black holes and in the earliest universe, including restoration of the electroweak symmetry SU(2) × U(1) at singularities. The adjoining gravity and antigravity regions form a geodesically complete space-time bridged by traversable singularities—absent in the Standard Model coupled to general relativity or its extensions such as string theory. In such a framework, the black hole information paradox admits a new, manifestly unitary resolution. Details of computations are developed in the companion paper [1]; here, only a brief outline is given.

United States

Itzhak Bars

Higgs field as architect of a geodesically complete universe and agent for new physics in interiors of black holes

We develop an efficient method to represent nuclear densities using basis functions extracted via Principal Component Analysis (PCA). Applying PCA to densities of 75 nuclei calculated with the relativistic continuum Hartree-Bogoliubov (RCHB) theory yields an orthogonal set of components that efficiently capture the dominant features of nuclear density distributions, which can be used as basis functions for nuclear density representation. The first five basis functions account for more than 99.999% of the total variance, demonstrating the efficiency of these PCA basis functions. The PCA basis achieves significantly higher accuracy and faster convergence than the Fourier-Bessel and Sum-of-Gaussians methods for reconstructing both theoretical and experimental densities. This approach provides an efficient and robust representation of nuclear densities, offering a practical tool for experimental density representation and for theories where densities play a central role, such as the orbital-free density functional theory, or the double folding model for nuclear reactions.

Chen-Jun Lv

Tian-Yu Wu

Xin-Hui Wu

Italy

Gianluca Colò

Japan

Kouichi Hagino

Basis representation for nuclear densities from principal component analysis

A thorough description of baryonic system beyond first-generation quark sector is indispensable for the maturation of nuclear <italic>ab initio</italic> methods. This study pioneers the application of neural-network quantum states to hypernuclei, with trainable parameters determined by variational Monte Carlo approach (VMC-NQS). In order to reduce the numerical uncertainty and treat the nucleons and hyperons in a unified manner, spinor grouping (SG) method is proposed to analytically integrate out isospin degrees of freedom. With SG method and spin symmetry enforcement, the &#923; separation energies of <italic>s</italic>-shell hypernuclei are computed with one-thousandth level accuracy and benchmarked against existing results from stochastic variational method, showing superior performance. By comparing two different sets of Hamiltonian based on pionless effective field theory ( <math altimg='si11.svg'><mrow><mi>&#960;</mi><mi>&#824;</mi></mrow></math>EFT), we choose an optimal model and further carry out calculations of selected <italic>p</italic>-shell charge-symmetric hypernuclei with mass number up to 13, exhibiting satisfactory consistency with experimental results. Our work underscores the potential of the VMC-NQS family for the in-depth probing of hypernuclear systems.

Zi-Xiao Zhang

Yi-Long Yang

Wan-Bing He

Peng-Wei Zhao

Bing-Nan Lu

Yu-Gang Ma

Machine learning the single-Λ hypernuclei with neural-network quantum states

Renormalization group (RG) invariance implies that the predictions of effective field theory are independent of the momentum cutoffs introduced during regularization. Here we report the first systematic verification of RG invariance for realistic nuclear few-body systems within nuclear lattice effective field theory. To restore broken continuum rotational and Galilean symmetries, we employ Galilean-invariance-restoration counterterms and use a soft momentum regulator. We calibrate the two- and three-body next-to-next-to leading order (N 2LO) chiral forces using <italic>A</italic>&#8239;&#8804;&#8239;3 observables and perform precision quantum Monte Carlo calculations to compute the 4He binding energy. The predicted energy remains constant across cutoffs from 250 MeV to 400 MeV and agrees well with the experimental value, with discrepancies of order 100 keV. Our results demonstrate the capability of extracting accurate, cutoff-independent predictions within lattice-regulated ab initio nuclear theory.

Jia-Ai Shi

Chen-Can Wang

Observation of renormalization group invariance in symmetry-restored nuclear lattice effective field theory