Few-Body Systems最新文献

This paper reviews our work on the measurements of absolute production cross sections of (gamma )-rays from the (p,p(^{prime }gamma )) reactions on (^{12})C and (^{16})O. The measurements cover a range of 8–16 MeV for the incident proton beam. The angular distributions of the (gamma )-rays have been measured. A detailed phenomenological analysis within the framework of optical model formalism has been carried out to reproduce the experimental data. The existing global set of elastic, polarization and total reaction data for protons and neutrons have been used to generate the optical model potential. The nuclear structure effects have been included in the calculations by considering the roles of coupling of the low-lying states, the presence of resonances and nuclear deformations. The potentials so generated have been used to calculate the differential and total cross sections for both (p,p(^prime )) and (p,p(^prime gamma )) reactions. The results of the analysis are in good agreement with the measured data for the observed (gamma )-rays. However, discrepancies still exist in reproducing the finer details of the cross sections. The existing discrepancies between our phenomenological analysis and the experimental data demonstrate the rather complex roles of channel couplings, resonances in the compound nuclear system and target deformation. The significant contribution of nuclear structure effects in light mass nucleus like (^{12})C and (^{16})O, leads to an apparent loss of predictive power of the theoretical calculation for low-energy region (less than 10 MeV) of the projectile energy.

We examine the results on the determination of the Coulomb-free ¹(S_0) proton–proton (p–p) scattering length by analyzing the cross section of the quasi-free p + d (rightarrow ) p + p + n reaction at center-of-mass energies below 1 MeV. This was achieved using a Bayesian data-fitting approach, yielding a p–p scattering length (a_{pp} = -18.17^{+0.52}_{-0.58}|_{stat}pm 0.01_{syst}) fm and effective range (r_0 = 2.80pm 0.05_{stat}pm 0.001_{syst}) fm. We test the stability of the results against the upper energy cutoff and fitting data sets separately. A model based on the Eckart potential is introduced for an effective description in the universal window. In this model, the short-range interaction is considered as a whole, similar to how the s-wave phase-shift (delta ) functions in describing low-energy nucleon–nucleon scattering data. Based on our analysis, we confirm that the obtained parameters accurately represent the characteristics of the short-range physics and the influence of the up-down quark mass difference on the charge symmetry breaking is less significant as initially anticipated. Additionally, we suggest evaluating the charge symmetry breaking of the short-range interaction rather than solely focusing on the nuclear interaction.

The coupling constants of (rho ) meson-nucleon and (omega ) meson-nucleon are connected through the isospin relation. Using the soft-wall model of holographic QCD, the current work aims to examine the violation (if any) of isospin symmetry of the (omega )-meson as well as the temperature dependency of the (omega )-meson-(Delta ) and (omega )-meson-nucleon-(Delta ) baryon coupling constants. Applying the temperature-dependent profile functions of the vector and fermion fields to the expression of the coupling constants in the model yields the temperature dependence of the coupling constants. The minimum and magnetic type interactions between vector and fermion fields in 5-dimensional AdS space-time are included in the written interaction Lagrangian terms. The temperature dependence of the coupling constants (g_{omega N N}(T)), (g_{omega Delta Delta }(T)), and (g_{omega N Delta }(T)) has been investigated. Comparing (g_{omega NN}(T)) with the coupling constant (g_{rho NN}(T)), it is found that the isospin symmetry of the (omega ) and (rho ) mesons is not violated at the finite temperature. It is also observed that the coupling constant of the (omega ) meson with baryons decreases as the temperature increases, and this coupling constant becomes zero near the confinement-deconfinement phase transition temperature.

The three-electron atomic-orbital close-coupling method is applied to H–He collision. The cross sections are calculated for projectile excitations to H(2 s) and H(2p), ionizations of projectile H, single ionization of target He, and electron capture for incident energy of 0.5–30 keV. Some basis sets are adopted to see the convergence behavior of the cross section for each process. The electron-exchange effect is essential to obtain reasonable results. Although the results have not yet reached convergence, the agreement with the experimental data is as good as previous calculations or better.

Using the folding procedure, we investigate the bound state of the (Omega )+(alpha ) system. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong (Omega )-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, we performed numerical calculations for the folding (Omega )-(alpha ) potential. Our results show that the (V_{Omega alpha }(r)) potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter (R = 1.1A^{1/3} approx 1.74) fm ((A=4)) in the asymptotic region where (2< r < 3) fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the (Omega )+(alpha ) system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the (Xi )-(alpha ) folding potential based on a simulation of the ESC08c Y-N Nijmegen model. A comprehensive comparison between the (Xi )-(alpha ) folding and (Xi )-( alpha ) phenomenological potentials is presented and discussed.

We present the experimental apparatus enabling the observation of the heteronuclear Efimov effect in an optically trapped ultracold mixture of (^6)Li-(^{133})Cs with high-resolution control of the interactions. A compact double-species Zeeman slower consisting of four interleaving helical coils allows for a fast-switching between two optimized configurations for either Li or Cs and provides an efficient sequential loading into their respective MOTs. By means of a bichromatic optical trapping scheme based on species-selective trapping we prepare mixtures down to 100 nK of ({1times 10^{4}}) Cs atoms and ({7times 10^{3}}) Li atoms. Highly stable magnetic fields allow high-resolution atom-loss spectroscopy and enable to resolve splitting in the loss feature of a few tens of milligauss. These features allowed for a detailed study of the Efimov effect.

Quantum few-body systems are deceptively simple. Indeed, with the notable exception of a few special cases, their associated Schrödinger equation cannot be solved analytically for more than two particles. One has to resort to approximation methods to tackle quantum few-body problems. In particular, variational methods have been proposed to ease numerical calculations and obtain precise solutions. One such method is the Stochastic Variational Method, which employs a stochastic search to determine the number and parameters of correlated Gaussian basis functions used to construct an ansatz of the wave function. Stochastic methods, however, face numerical and optimization challenges as the number of particles increases.We introduce a family of gradient variational methods that replace stochastic search with gradient optimization. We comparatively and empirically evaluate the performance of the baseline Stochastic Variational Method, several instances of the gradient variational method family, and some hybrid methods for selected few-body problems. We show that gradient and hybrid methods can be more efficient and effective than the Stochastic Variational Method. We discuss the role of singularities, oscillations, and gradient optimization strategies in the performance of the respective methods.

In this paper, we investigate the quantum dynamics of scalar and oscillator fields in a topological defect space-time background under the influence of rainbow gravity’s. The rainbow gravity’s are introduced into the considered cosmological space-time geometry by replacing the temporal part (dt rightarrow frac{dt}{mathcal {F}(chi )}) and the spatial part (dx^i rightarrow frac{dx^i}{mathcal {H} (chi )}), where (mathcal {F}, mathcal {H}) are the rainbow functions and (0 le chi =|E|/E_p <1) is the dimensionless parameter. We derived the radial equation of the Klein–Gordon equation and its oscillator equation under rainbow gravity’s in topological space-time. To obtain eigenvalue of the quantum systems under investigations, we set the rainbow functions (mathcal {F}(chi )=1) and (mathcal {H}(chi )=sqrt{1-beta ,chi ^p}), where (p=1,2). We solve the radial equations through special functions using these rainbow functions and analyze the results. In fact, it is shown that the presence of cosmological constant, the topological defect parameter (alpha ), and the rainbow parameter (beta ) modified the energy spectrum of scalar and oscillator fields in comparison to the results obtained in flat space.

We study the influence of a symmetrically spherical potential on the harmonic oscillator. The symmetrically spherical potential consists of a repulsive short-range potential inspired by the power-exponential potential. By dealing with s-wave in the region where the repulsive short-range potential is significant, we show how the energy levels of the three-dimensional harmonic oscillator are modified by the short-range potential influence. Furthermore, we show that a non-null revival time with regard to the s-state exists.

We investigate the mass spectra and decay properties of pions and all light tetraquarks using both semi-relativistic and non-relativistic frameworks. By applying a Cornell-like potential and a spin-dependent potential, we generate the mass spectra. The decay properties of tetraquarks are evaluated using the annihilation model and the spectator model. Potential tetraquark candidates are interpreted for quantum numbers (J^{PC} = 0^{{+}{+}}, 0^{{-}{+}}, 1^{{-}{+}}, 1^{{+}{-}}, 1^{{-}{-}}, 2^{{+}{-}}, 2^{{-}{+}},) and (2^{{-}{-}}). Additionally, we compare our results with existing experimental data and theoretical predictions to validate our findings. This study aims to enhance the understanding of tetraquarks in the light-light sector.