We study structures of the $0^{+}$ states of ${}_{\mathrm{\Lambda }}{}^{13}\mathrm{C}$ within the framework of the $\alpha +\alpha +\alpha +\mathrm{\Lambda }$ four-body orthogonality condition model with the Gaussian expansion method. We obtain five $0^{+}$ states of ${}_{\mathrm{\Lambda }}{}^{13}\mathrm{C}$ and compare them with the low-lying four $0^{+}$ states of ${}^{12}\mathrm{C}$. We find that the $0_1^{+}$, $0_2^{+}$, and $0_4^{+}$ states correspond to the $0_1^{+}$, $0_2^{+}$, and $0_4^{+}$ states of ${}^{12}\mathrm{C}$, respectively. We also find that both the $0_3^{+}$ and $0_5^{+}$ states have analogous nature to the $0_3^{+}$ state of ${}^{12}\mathrm{C}$, where the additional $\mathrm{\Lambda }$ particle couples with the ${}^8\mathrm{Be}$ cluster and one $\alpha$ cluster, in the $0_3^{+}$ state of ${}^{12}\mathrm{C}$, respectively. The former is then shown to have an elongated ${}_{\mathrm{\Lambda }}^9\mathrm{Be}\left(0_1^{+}\right)+\alpha$ cluster structure with a higher nodal behavior for its relative wave function, and the latter has a dilute three-body gas consisting of $2\alpha {+}_{\mathrm{\Lambda }}^5\mathrm{He}$ clusters.

We investigate the Gamow-Teller (GT) and spin-dipole (SD) transitions in the direction of ${\beta }^{+}$ decay for neutron-rich $N=50$ nucleus ${}^{80}\mathrm{Zn}$ and $N=82$ nucleus ${}^{126}\mathrm{Ru}$, which are important for deleptonization phase in core-collapse supernova, at $T=0,1,2$ MeV with finite-temperature proton-neutron relativistic (quasiparticle) random-phase approximation. At zero temperature, the ${\mathrm{GT}}^{+}$ transitions for ${}^{80}\mathrm{Zn}$ and ${}^{126}\mathrm{Ru}$ are almost completely Pauli blocked because one more extra shell is occupied for neutrons than that for protons. With increasing temperature to even 2 MeV, the thermal excitation still cannot open up ${\mathrm{GT}}^{+}$ transitions with strong strength. The ${\mathrm{SD}}^{+}$ transitions in ${}^{80}\mathrm{Zn}$ are mildly affected by temperature, which means the experimental data measured at the laboratory can provide useful information for transitions in an astrophysical environment. However, for ${\mathrm{SD}}^{+}$ transitions in ${}^{126}\mathrm{Ru}$, the transition energies have a decrease of about 2 MeV from zero temperature to $T=1$ MeV due to the collapse of pairing gap of transition orbitals. The total strength in $T^{+}$ channel decreases with increasing temperature for both GT and SD transitions, due to the suppression of their transition strength induced by temperature effects.

A comparison of light hypernuclei production, from Ultra-relativistic Quantum Molecular Dynamics (UrQMD)$+\text{coalescence}$ and the thermal model, in heavy ion collisions over a wide range of beam energies and system sizes is presented. We find that both approaches provide generally similar results, with differences in specific details. Especially the ratios of hypertriton to $\mathrm{\Lambda }$ are affected by both the source radius $\mathrm{\Delta }r$ of the coalescence procedure as well as canonical effects. On the other hand, the double ratio $S_3$ is almost independent of canonical effects, which is in contrast to coalescence. Thus, both the beam energy dependence and centrality dependence of $S_3$ can be used to constrain the hypertriton source radius. To do so the currently available data are not yet sufficient. Elliptic flow is shown to be unaffected by the source size of the nuclei and an almost perfect mass scaling of the elliptic flow is observed. Our predictions further suggest that the existence of the H-dibaryon ($\mathrm{\Lambda }\mathrm{\Lambda }$) seems ruled out by ALICE data.

In this study, we try to extract $\omega n$, $\omega p$, and $\varphi N$ scattering lengths from the differential cross-section data of near-threshold $\omega$ and $\varphi$ photoproductions at threshold $t_{\mathrm{thr}}$. The incoherent data of $\omega$ and $\varphi$ photoproductions on deuterium target for scattering length extractions are provided by the CBELSA/TAPS Collaboration and LEPS Collaboration, respectively, where the deuteron is usually approximated as a weakly bound state of a quasifree neutron plus a quasifree proton. Under the vector meson dominance model and the assumption of energy independence of the differential cross section, we obtained the $|{\alpha }_{\omega n^{*}}|$ and $|{\alpha }_{\omega p^{*}}|$ of loosely bound neutron and proton in the deuteron to be 0.709 $\pm$ 0.078 fm and 0.621 $\pm$ 0.022 fm, respectively, at threshold $t_{\mathrm{thr}}$ for the first time by fitting the near-threshold data of $\gamma d$ $\to$ $\omega n\left(p\right)$ and $\gamma d$ $\to$ $\omega p\left(n\right)$. For a comparison study, we also extracted the scattering length $|{\alpha }_{\omega p}|$ of the free proton from the $\omega$ photoproduction on the hydrogen target by the CBELSA/TAPS Collaboration. With the near-threshold and incoherent $\varphi$ photoproduction data of $\gamma d$ $\to$ $\varphi pn$ by the LEPS Collaboration, we obtained scattering length $|{\alpha }_{\varphi N}|$ of the bound nucleon inside the deuteron to be 0.109 $\pm$ 0.008 fm at threshold $t_{\mathrm{thr}}$. The obtained $|{\alpha }_{\omega p}|$ and $|{\alpha }_{\varphi N}|$ are basically in agreement with the experimental indications and the theoretical predictions within the current uncertainties.

The precision of correlation measurements in neutron and nuclear $\beta$ decay has now reached the level of about 1% and better. At this level of precision, higher-order corrections such as recoil-order corrections induced by the strong interaction and radiative corrections cannot necessarily be neglected anymore. We provide here an update of the $\mathcal{F}t$ values of the isospin $T=1/2$ mirror $\beta$ decays including the neutron, of interest to determine the $V_{\mathrm{ud}}$ quark-mixing matrix element. We also provide an overview of current experimental and theoretical knowledge of the most important recoil term, weak magnetism, for both these mirror $\beta$ decays and a large set of $\beta$ decays in higher isospin multiplets. The matrix elements determining weak magnetism were calculated in the nuclear shell model and cross-checked against experimental data, showing overall good agreement. We show that the neutron and the mirror nuclei now effectively contribute to the value of $V_{\mathrm{ud}}$, but we also stress the need for further work on the radiative correction ${\mathrm{\Delta }}_R^V$. Our results provide new insight into the size of weak magnetism, extending the available information to nuclei with masses up to $A=$ 75. This provides important guidance for planning and improved sensitivity for interpreting correlation measurements in searches for new physics or to extract $V_{\mathrm{ud}}$ in mirror $\beta$ decays. It can also be of interest for further theoretical work related to the reactor neutrino problem.

We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density function (PDF) for the low-energy constants (LECs) up to next-to-next-to-next-to-leading order (N3LO) in a chiral effective field theory ($\chi \mathrm{EFT}$) description of the nucleon-nucleon interaction. In a first step, we condition the inference on neutron-proton and proton-proton scattering data and account for uncorrelated $\chi \mathrm{EFT}$ truncation errors. We demonstrate how to successfully sample the 31-dimensional space of LECs at N3LO using a revised HMC inference protocol. In a second step we extend the analysis by means of importance sampling and an empirical determination of the neutron-neutron scattering length to infer the posterior PDF for the leading charge-dependent contact LEC in the ${}^{1}S_0$ neutron-neutron interaction channel. While doing so we account for the $\chi \mathrm{EFT}$ truncation error via a conjugate prior. We use the resulting posterior PDF to sample the posterior predictive distributions for the effective range parameters in the ${}^{1}S_0$ wave as well as the strengths of charge-symmetry breaking and charge-independence breaking. We conclude that empirical point-estimate results of isospin breaking in the ${}^{1}S_0$ channel are consistent with the PDFs obtained in our Bayesian analysis and that, when accounting for $\chi \mathrm{EFT}$ truncation errors, one must go to next-to-next-to-leading order to confidently detect isospin breaking effects.

We present a systematic study of the ${}^{10–14}\mathrm{C}$ isotopes within the ab initio no-core shell-model theory. We apply four different realistic nucleon-nucleon $\left(NN\right)$ interactions: (i) the charge-dependent Bonn 2000 (CDB2K) potential; (ii) the inside nonlocal outside Yukawa (INOY) potential; (iii) the next-to-next-to-next-to-leading order $\left({\mathrm{N}}^3\mathrm{LO}\right)$ potential; and (iv) the optimized next-to-next-to-leading order $\left({\mathrm{N}}^2{\mathrm{LO}}_{\mathrm{opt}}\right)$ potential. We report the low-lying energy spectra of both positive- and negative-parity states for ${}^{10–14}\mathrm{C}$ isotopes and investigate the level structures. We also calculate electromagnetic properties such as transition strengths, quadrupole moments, and magnetic moments. The dependence of point-proton radii on the harmonic-oscillator frequency and basis space is shown. We present calculations of the translation invariant one-body density matrix in the no-core shell-model and discuss isotopic trends in the density distribution. The maximum basis space reached is $10\hslash \mathrm{\Omega }$ for ${}^{10}\mathrm{C}$ and $8\hslash \mathrm{\Omega }$ for ${}^{11–14}\mathrm{C}$, with a maximum M-scheme dimension of $1.3\times {10}^9$ for ${}^{10}\mathrm{C}$. We found that, while the INOY interaction gives the best description of the ground-state energies, the ${\mathrm{N}}^3\mathrm{LO}$ interaction best reproduces the point-proton radii.

To exploit the potential of deep learning (DL) in $\alpha$-decay studies, we refocus on the essence of DL, which is a nonlinear input-output mapping with a hierarchical learning process. Here, instead of using the residual between experimental data and the calculation, the idea of training DL directly by experimental $\alpha$-decay half-life is used. The Levenberg-Marquardt backpropagation algorithm is utilized for fixing free parameters of the mapping. A $\mathcal{K}$-fold cross-validation method is introduced to avoid overfitting and improve the generalization performance of DL, as well as to determine hyperparameters effectively. We find that DL results with both three-dimensional $\{Z,A,Q_{\alpha }\}$ and four-dimensional $\{Z,A,Q_{\alpha },l\}$ input vectors achieve an impressive accuracy that matches or even exceeds the traditional models. Especially, DL realizes an efficient extraction of the pertinent shell and odd-even staggering effects of half-life solely from the characteristics of $Q_{\alpha }$ values. On the other hand, the universal decay law (UDL) describes the classical relationship between $\{Z,A,Q_{\alpha }\}$ and a-decay half-life, which is homologous with DL. Heuristically, we add the contributions of the angular momentum and blocking effect of unpaired nucleons in the UDL and develop an improved UDL formula.

The $\beta$ decay of ${}^{142}\mathrm{Te}_{90}$ to ${}^{142}\mathrm{I}_{89}$ was investigated for the first time. The parent nucleus was produced by the in-flight fission of a ${}^{238}\mathrm{U}$ beam with an energy of 345 MeV per nucleon, impinging on a ${}^9\mathrm{Be}$ target at the Radioactive Isotope Beam Factory of RIKEN. Excited states in ${}^{142}\mathrm{I}$ were established by $\beta$-delayed $\gamma$-ray spectroscopy. The observed $\left(1^{+}\right)$ states in ${}^{142}\mathrm{I}$ could be interpreted to be predominantly the $\nu 0h_{9/2}\otimes \pi 0h_{11/2}$ configuration formed by a Gamow-Teller transition between a neutron in the $0h_{9/2}$ orbital and a proton in the $0h_{11/2}$ orbital. Additional features of the $\left(1^{+}\right)$ states are discussed by comparing with neighboring heavier isotones, such as ${}^{144}\mathrm{Cs}$ and ${}^{146}\mathrm{La}$. In the context of deformed shell-model calculations, the $\left(1_1^{+}\right)$ state is closely related to the $\nu [5,3,2]3/2\otimes \pi [5,5,0]1/2$ configuration, which may be related to the weak Gamow-Teller transition strength.

I investigate three-body spectroscopic amplitudes in a microscopic three-cluster model. The total wave functions are described in the resonating group method (RGM) formalism based on cluster wave functions and on relative functions defined in the hyperspherical method. Core excitations are included. I develop a method aimed to determine three-body spectroscopic amplitudes and spectroscopic factors. This technique also provides three-body wave functions where the antisymmetrization is treated approximately. In this way, the various channels are orthogonal to each other and can be used without the antisymmetrization operator. This method is well known in two-cluster systems, and is based on the eigenvalues and the eigenvectors of the antisymmetrization operator. I illustrate the formalism with the ${}^6\mathrm{He}$, ${}^{11}\mathrm{Li}$, and ${}^{14}\mathrm{Be}$ nuclei where ${}^9\mathrm{Li}$ and ${}^{12}\mathrm{Be}$ excited states are taken into account.

Background: Deuteron-induced nuclear reactions are an essential tool for probing the structure of nuclei as well as astrophysical information such as $(n,\gamma )$ cross sections. The deuteron-nucleus system is typically described within a Faddeev three-body model consisting of a neutron ($n$), a proton ($p$), and the target nucleus ($A$) interacting through pairwise phenomenological potentials. While Faddeev techniques enable the exact description of the three-body dynamics, their predictive power is limited in part by the omission of irreducible neutron-proton-nucleus three-body force ($n\text{−}p\text{−}A$ 3BF).

Purpose: Our goal is to quantify systematic uncertainties stemming from the reduction of deuteron-nucleus ($d+A$) dynamics to a picture of three pointlike nuclear clusters interacting via pairwise nucleon-nucleus forces, using as testing grounds $d+\alpha$ scattering and the ${}^6\mathrm{Li}$ ground state. We particularly focus on quantifying uncertainties arising from the full antisymmetrization of the ($A+2$)-body system with the target nucleus fixed in its ground state.

Methods: We adopt the ab initio no-core shell model coupled with the resonating group method (NCSM/RGM) to compute microscopic $n\text{−}\alpha$ and $p\text{−}\alpha$ interactions, and use them in a three-body description of the $d+\alpha$ system by means of momentum-space Faddeev-type equations. Simultaneously, we also carry out ab initio calculations of $d+\alpha$ scattering and ${}^6\mathrm{Li}$ ground state by means of six-body NCSM/RGM calculations to serve as a benchmark for the three-body model predictions given by the Faddeev calculations.

Results: By comparing the Faddeev and NCSM/RGM results, we show that the irreducible $n\text{−}p\text{−}\alpha$ 3BF has a non-negligible effect on bound state and scattering observables alike. Specifically, the Faddeev approach yields a ${}^6\mathrm{Li}$ ground state that is approximately 600 keV shallower than the one obtained with the NCSM/RGM. Additionally, the Faddeev calculations for $d+\alpha$ scattering yield a $3^{+}$ resonance that is located approximately 400 keV higher in energy compared to the NCSM/RGM result. The shape of the $d+\alpha$ angular distributions computed using the two approaches also differ, owing to the discrepancy in the predictions of the $3^{+}$ resonance energy.

Conclusions: The Faddeev three-body model predictions for $d+\alpha$ scattering and ${}^6\mathrm{Li}$ using microscopic $n\text{−}\alpha$ and $p\text{−}\alpha$ potentials differ from those computed microscopically with the NCSM/RGM. These discrepancies are due to the $n\text{−}p\text{−}\alpha$ 3BF, which arises from two-nucleon exchange terms in the microscopic $d\text{−}\alpha$ interaction and are not accounted for in the three-body model Faddeev calculations. This study lays the foundation for future parametrizations of the 3BF due to Pauli exclusion principle effects in improved three-body calculations of deuteron-induced reactions.

We study $\gamma$-ray emission following ${}^{239}\mathrm{Pu}(n,f)$ over an incident neutron energy range of $2<E_i<40$ MeV. We present the first experimental evidence for positive correlations between the total angular momentum generated in fission and the excitation energy of the compound nucleus prior to fission. The $\gamma$-ray multiplicity increases linearly with incident energy below the second-chance fission threshold with a slope of $0.085\pm 0.010{\mathrm{MeV}}^{-1}$. This linear trend appears to hold for the average excitation energy of the compound nucleus between $9<\langle E_x\rangle <19$ MeV. Most of the multiplicity increase comes from an enhancement around a $\gamma$-ray energy of 0.7 MeV, which we interpret as stretched quadrupole $\gamma$ rays that indicate an increase in total fission-fragment angular momentum with excitation energy.

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for quark-gluon plasma (QGP) and the QCD critical point. These fluctuation studies all make use of particle variances which can be shown to originate with a two-particle correlation function. Momentum correlations and covariances of momentum fluctuations, which arise from the same correlation function, have also been used to extract properties of the nuclear collision medium such as the shear viscosity to entropy density ratio, the shear relaxation time, and temperature fluctuations. Searches for critical fluctuations are also done with these correlation observables. We derive a mathematical relationship between several number and momentum density correlation observables and outline the different physics mechanisms often ascribed to each. This set of observables also contains a new multiplicity-momentum correlation. Our mathematical relation can be used as a validation tool for measurements, as a method for interpreting the relative contributions of different physics mechanisms on correlation observables, and as a test for theoretical and phenomenological models to simultaneously explain all observables. We compare an independent source model to simulated events from pythia for all observables in the set.

In this work, a hadron resonance gas under van der Waals interactions has been studied. Both attractive and repulsive interactions between the meson-meson and (anti)baryon-(anti)baryon have been taken into consideration. Various transport properties such as electrical conductivity (${\sigma }_{\mathrm{el}}$) and thermal conductivity (${\kappa }_{\mathrm{th}}$) have been estimated by solving the Boltzmann transport equation under the relaxation time approximation. The effect of baryochemical potential (${\mu }_{\mathrm{B}}$) and temperature is also explicitly explored for the mentioned observables. Comparisons have been made with the results obtained from other existing theoretical models. We observe the violation of Wiedemann-Franz law in a hadron resonance gas at a high-temperature regime. The corresponding diffusivities have also been estimated, which can help us to understand the systems better.

Momentum correlation functions of light (anti)nuclei formed by the coalescence mechanism of (anti)nucleons are calculated for several central heavy-ion collision systems, namely ${}_5^{10}\text{B}+{}_5^{10}\text{B}$, ${}_8^{16}\text{O}+{}_8^{16}\text{O}$, ${}_{20}^{40}\text{Ca}+{}_{20}^{40}\text{Ca}$, as well as ${}_{79}^{197}\text{Au}+{}_{79}^{197}\text{Au}$ in different centralities at center-of-mass energy $\sqrt{s_{NN}}$ = 39 GeV within the framework of a multiphase transport (AMPT) model complemented by the Lednický and Lyuboshitz analytical method. Momentum correlation functions for identical or nonidentical light (anti)nuclei are constructed and analyzed for the above collision systems. The Au+Au results demonstrate that emission of light (anti)nuclei occurs from a source with smaller space extent in more peripheral collisions. The effect of system size on the momentum correlation functions of identical or nonidentical light (anti)nuclei is also explored by several collision system in central collisions. The results indicate that the emission source size of light (anti)nuclei pairs deduced from their momentum correlation functions and system size is self-consistent. Momentum correlation functions of nonidentical light nuclei pairs gated on velocity are applied to infer the average emission sequence of them. The results illustrate that protons are emitted on average on a timescale similar to neutrons but earlier than deuterons or tritons in the small relative momentum region. In addition, a larger interval of the average emission order among them is exhibited for smaller collision systems or at more peripheral collisions.

We report on a study of the $\alpha$-decay fine structure and the associated $E_{\alpha }-E_{\gamma }$ correlations in the decays of ${}^{171,172}\mathrm{Os}$ and ${}^{171,172,174}\mathrm{Ir}$. In total, 13 new $\alpha$-decay energy lines have been resolved, and three new $\gamma$-ray transitions have been observed following the new decay branches to ${}^{168}\mathrm{Re}$ and ${}^{167}\mathrm{W}$. The weak $\alpha$-decay branch from the bandhead of the $\nu i_{13/2}$ band in ${}^{171}\mathrm{Os}$ observed in this work highlights an unusual competition between $\alpha , \beta$, and electromagnetic decays from this isomeric state. The nucleus ${}^{171}\mathrm{Os}$ is therefore one of few nuclei observed to exhibit three different decay modes from the same excited state. The nuclei of interest were produced in ${}^{92}\mathrm{Mo}({}^{83}\mathrm{Kr},xpyn$) fusion-evaporation reactions at the Accelerator Laboratory of the University of Jyväskylä, Finland. The fusion products were selected using the gas-filled ion separator RITU and their decays were characterized using an array of detectors for charged particles and electromagnetic radiation known as GREAT. Prompt $\gamma$-ray transitions were detected and correlated with the decays using the JUROGAM II germanium detector array surrounding the target position. Results obtained from total Routhian surface (TRS) calculations suggest that $\alpha$-decay fine structure and the associated hindrance factors may be a sensitive probe of even relatively small shape changes between the final states in the daughter nucleus.

Differential and total cross sections for the reactions ${}^2\mathrm{H}(\gamma ,K^0\mathrm{\Lambda }){}^1\mathrm{H}$, ${}^2\mathrm{H}(\gamma ,K^{+}\mathrm{\Lambda })n$, ${}^2\mathrm{H}(\gamma ,K^{+}{\mathrm{\Sigma }}^0)n$, ${}^2\mathrm{H}(\gamma ,K^{+}{\mathrm{\Sigma }}^{-}){}^1\mathrm{H}$, ${}^3\mathrm{He}{({\gamma }_V,K^{+})}_{\mathrm{\Lambda }}^3\mathrm{H}$, and ${}^3\mathrm{He}({\gamma }_V,K^{+}\mathrm{\Lambda })X$ taking into account the effects of $KN$, $K\mathrm{\Lambda }$, and $N\mathrm{\Lambda }$ interactions in the final state are presented. A comparison with the few experimental data on kaon photoproduction on the deuteron and on kaon electroproduction on ${}^2\mathrm{H}$ and ${}^3\mathrm{He}$ at $W_N=1.91$ GeV, $Q^2=0.35{\mathrm{GeV}}^2$ is made. It is shown that the presented model correctly reproduces the dependence of the cross sections on energies and angles, especially in the region of small kaon emission angles. The eigenfunctions of the nuclei ${}^3\mathrm{He}$ and ${}_{\mathrm{\Lambda }}^3\mathrm{H}$ are directly obtained in this work by solving coupled homogeneous Faddeev equations with respect to the components of a three-body $T$ matrix. The cross sections of ${}^3\mathrm{He}{({\gamma }_V,K^{+})}_{\mathrm{\Lambda }}^3\mathrm{H}$ and ${}^3\mathrm{He}({\gamma }_V,K^{+}\mathrm{\Lambda })X$ with these functions are calculated, and results also turned out to be in good agreement with the available experimental data. An analysis of the calculated cross sections for kaon photo- and electroproduction on the ${}^3\mathrm{He}$ nucleus showed that the magnitude of the final state interaction effects in the considered processes is negligible, noticeable only in the region of large kaon emission angles.

In this work we study the consequences of a longitudinal Bjorken expansion and a Hubble-like temperature cooling scenario on a $1+1$ dimensional nonlinear model of the diffusive dynamics of fluctuations in the net-baryon density. The equilibrium behavior of the fluctuations is fully encoded in the temperature dependence of the susceptibilities on the crossover side both in the vicinity of the assumed location of the critical point and at vanishing baryochemical potential in line with lattice quantum chromodynamics calculations. We demonstrate the great sensitivity of the fluctuation observables on the dynamics, in particular on the diffusion length and the freeze-out conditions. While the critical signals are visible and the critical region is broadened by the expansion, a too small diffusion length can strongly reduce the amplitude of the signals. We propose to search for significant anticorrelations of baryons at intermediate rapidity experimentally and to map out the rapidity dependence of the fourth-order cumulant, which, in the presence of a critical point (and only in its presence), has a pronounced minimum at intermediate rapidities.

We have evaluated pseudoscalar and scalar neutral pion photoproduction in $\vec{\gamma }p\to {\pi }^{0}p$ and $a_0^{0}p$ above the resonance region and within Regge phenomenology. Our fit, including GlueX $\mathrm{\Sigma }$ pseudoscalar photoproduction data, shows that previous Stanford Linear Accelerator Center (SLAC) $\mathrm{\Sigma }$ measurements for $\vec{\gamma }p\to {\pi }^{0}p$ above $E_{\gamma }=4\mathrm{GeV}$ vary substantially from SLAC data with more recent measurements made by GlueX in the vicinity of $E_{\gamma }=9\mathrm{GeV}$. The Regge model predicts that the beam polarization asymmetry $\mathrm{\Sigma }$ of the scalar meson is opposite to that of pseudoscalar meson photoproduction; however, the cross sections are similar. While the natural parity vector meson exchange is dominant in both cases, the contribution of the unnatural parity pseudovector meson exchange is very small. Using Regge phenomenology, we predicted high-energy behavior for double polarized observables $\mathbb{E}$, $\mathbb{F}$, $\mathbb{G}$, and $\mathbb{H}$ for the reactions $\gamma p\to {\pi }^{0}p$ and $a_0^{0}p$.