Modified Yukawa Potential Research Articles

Lorentz-violating Yukawa theory at finite temperature

This paper addresses Yukawa theory, focusing on the scattering between two identical fermions mediated by an intermediate scalar boson, considering the effects of thermal contributions and Lorentz symmetry breaking. Temperature is introduced into the theory through the thermofield dynamics formalism, while Lorentz violation arises from a background tensor coupled to the kinetic part of the Klein-Gordon Lagrangian. Two important quantities are calculated: the cross section for the scattering process and the modified Yukawa potential. The main results obtained in this work demonstrate that considering Lorentz symmetry breaking has several implications for changes in symmetries and physical states, while the presence of temperature is strongly related to the strength of the interaction. This interplay between symmetry breaking and temperature effects provides deeper insights into the behavior of the Yukawa theory under different conditions. Published by the American Physical Society 2024

A new study of relativistic and nonrelativistic for new modified Yukawa potential via the BSM in the framework of noncommutative quantum mechanics symmetries: An application to heavy-light mesons systems

In this article, the deformed Dirac equation was solved with a new modified Yukawa potential within three tensor interactions (Coulomb-like, Yukawa-like, and Hulthén-type potentials) (NMYTTIs). This study is scrutinized by taking into consideration the noncommutative space-space effect within the relativistic and nonrelativistic regimes using the parametric of Bopp’s shift method and standard perturbation theory with the help of an approximation to the centrifugal term. In the framework of the spin and pseudospin (p-spin) symmetry, we obtain the global new energy eigenvalue which equals the energy eigenvalue in usual relativistic QM under the new modified Yukawa potential plus the corrected of energy induced with three infinitesimal additive parts of the relativistic Hamiltonian corresponds to the spin-orbit interaction, the new modified Zeeman and the rotational Fermi term. The new values that we get appeared sensitive to the quantum numbers (j,k,l,lps,s,sps,m,mps) and (j,l,s,m) (within the relativistic and nonrelativistic regimes, respectively), the potential depths (A,B,C), the range of the potential α, and noncommutativity parameters (η,σ,χ). The present results are applied for calculating the mass spectra of heavy mesons such as heavy-light mesons HLM such as cc¯, bb¯, bc¯, bs¯, cs¯ and bq¯, q=(u,d). Our results excellent agree perfectly with the ones in works of literature.

Study of galaxy clustering (thermodynamics) through different approaches using modified Yukawa potential

In this paper, our focus is to discuss galaxy clustering in an accelerated universe through different approaches, viz., the extended structure of galaxies, the halo approximation, in which we evaluate the configurational integral between two finite limits and the most recent technique known as mean-field theory or approximation. Through these approximations, we were able to eliminate the divergence of the involved configurational integral. These approximations have been employed to develop a gravitational partition function, which has been used to evaluate the thermodynamics of galaxy clustering and the distribution function that goes with it. Throughout this paper, we will use the concept of Maxwell–Boltzmann’s statistics to study the galaxy clustering under the modified Yukawa potential. These thermodynamical quantities, such as Helmholtz free energy, entropy internal energy, and so on, were later plotted.

Quarkonium spectroscopy of the linear plus modified Yukawa potential

In this article, the linear plus modified Yukawa potential (LIMYP) is used as the quark-antiquark interaction potential for the approximate analytical bound state solution of the Klein-Gordon equation in three-dimensional space. The energy eigenvalues and associated wavefunction are obtained by solving the Klein-Gordon equation analytically using the Nikiforov-Uvarov (NU) method. The mass spectra of heavy mesons such as charmonium , bottomonium , and for various quantum states are obtained using the energy spectra expression. In comparison to experimental data, graphical modification of acquired mass spectra of heavy mesons with the parameter employed in the energy equation and the current potential provides good results.

Dynamics of two-dimensional binary dusty plasma in liquid-like state

Using a driven-dissipative Langevin dynamics simulation, the dynamics of two-dimensional binary dusty plasma in the liquid-like state has been investigated. The system consists of charge-asymmetric microparticles with an identical charge-mass ratio. To include the effect of particle size on the dynamics of the system, a modified Yukawa potential with consideration of the particle radius is employed to account for the electrostatic interaction between the charged particles. It is found that the mean squared displacement (MSD) of the system changes little when the ratio of particle radius to interparticle spacing is up to the order of magnitude of one tenth. By analyzing MSD at different time scales, coexistence of the distinct self-diffusion regimes for the two species is observed. The compositions of the two species together with the effective coupling strength of the system are responsible for the motion separation of the two species.

The application bispherical coordinate in Schrödinger equation for Mobius square plus modified Yukawa potential using Nikiforov Uvarov Functional Analysis (NUFA) method

<p class="Abstract">The application bispherical coordinates in Schrödinger equation for the Mobius square plus modified Yukawa potential have been obtained. The Schrödinger equation in bispherical coordinates for the separable Mobius square plus modified Yukawa potential consisting of the radial part and the angular part for the Mobius square plus modified Yukawa potential is solved using the variable separation method to reduce it to the radial part and angular part Schrödinger equation. The aim of this study was to solve the Schrödinger's equation of radial in bispherical coordinates for the Mobius square plus modified Yukawa potential using the Nikiforov Uvarov Functional Analysis (NUFA) method. Nikiforov Uvarov Functional Analysis (NUFA) method used to obtained energy spectrum equation and wave function for the Mobius square plus modified Yukawa potential. The result of energy spectrum equation for Mobius square plus modified Yukawa potential can be shown in Equation (50). The result of un-normalized wave function equation for Mobius square plus modified Yukawa potential can be shown in Table 1.</p>

Thermodynamic Properties of the Modified Yukawa Potential

Within the framework of the modified factorization method, we solve the Schrodinger equation with the modified Yukawa potential. The energy spectrum is obtained using the Pekeris approximation scheme for the centrifugal term. The thermodynamic properties, including the vibrational partition function, vibrational mean energy, vibrational mean free energy, vibrational specific heat capacity and vibrational entropy, are calculated. As a special case, we compare our result with that work of Dong [Int. J. Quant. Chem. 107, 366 (2007)] and find good agreement.

Description of small-angle neutron scattering data for nickel–chromium–aluminum alloy within quantum mechanics and classic polydisperse sphere model

The modified Yukawa potential is used to fit the nucleus model parameters to the data on small-angle neutron scattering on nickel—chromium—aluminum alloy for the product of the transferred momentum Q and the effective nucleus radius R, satisfying the condition QR ≤ ħ. The analytical polydisperse sphere model is used to calculate the neutron scattering intensity and to determine the most probable macroscopic sphere radius R 0 at QR 0 ≥ 3ħ.

Roles of magnetized background ions in determining dynamics of 2D magnetized complex plasmas

Dynamics of 2D magnetized complex plasmas is investigated based on the driven-dissipative dynamics simulation. Besides the usual Yukawa potential, a modified Yukawa potential which includes the effects of external magnetic field B on the shielding distance of the charged dust particles is used to account for the electrostatic interaction of the charged dust particles. It is found that shielding distance of the charged dust particles is greatly increased due to the magnetization of background ions, and the resulting equilibrium diffusion of the system differs from that of usual Yukawa system. Collective oscillation of the system is discussed in terms of Fourier analysis of velocity-auto-correlation function.

Investigations on the Relativistic Interactions in One-Electron Atoms with Modified Yukawa Potential for Spin 1/2 Particles

Energy levels of one electron atoms have been re-examined by applying an alternative perturbative scheme in solving the modified Dirac equation (m.d.e.) for the modified Yukawa potential model with a arbitrary spin-orbit quantum number (see equation in the paper) by means Bopp’s shift method instead to solving (m.d.e.) with star product, in the framework of noncommutativity three dimensional real space (NC: 3D-RS). It is observed that the obtained corrections of energies are depended on the new discrete atomic quantum numbers (see equation in the paper) under spin-symmetry and pseudospin symmetry and two infinitesimal parameters (see equation in the paper) which induced by position-position noncommutativity. Furthermore, in limit of parameters (see equation in the paper), the new energy equations for modified Yukawa potential are consistent with the results of ordinary relativistic quantum mechanics for ordinary Yukawa potential. Keywords: Yukawa potential, noncommutative space, star product, Bopp’s shift method and Dirac equation.

Study on two-dimensional equilibrium structure of magnetized complex plasmas based on a Langevin dynamics simulation

A Langevin dynamics simulation method is used to study the two-dimensional (2D) equilibrium structure of complex plasmas while considering an external magnetic field. The traditional Yukawa potential and a modified Yukawa potential according to Shukla et al. [Phys. Lett. A 291, 413 (2001); Shukla and Mendonca, Phys. Scr. T113 82 (2004)] and Salimullah et al. [Phys. Plasmas 10, 3047 (2003)] respectively, are employed to account for the interaction of the charged dust particles. It is found that the collisions between neutral gas and charged dust particles have minor effects on the 2D equilibrium structure of the system. Based on the modified Yukawa potential, studies on the 2D equilibrium structure show that the traditional Yukawa potential is still suitable for describing the magnetized complex plasmas, even if the shielding distance of charged dust particles is affected by the strong external magnetic field.

Calculation of energy spectrum of 12C isotope with modified Yukawa potential by cluster models

In this paper, we have calculated the energy spectrum of 12C isotope in two-cluster models, 3 α cluster model and 8Be + α cluster model. We use the modified Yukawa potential for interaction between the clusters and solve the Schrodinger equation using Nikiforov–Uvarov method to calculate the energy spectrum. Then, we increase the accuracy by adding spin-orbit coupling and tensor force and solve them by perturbation theory in both models. Finally, the calculated results for both models are compared with each other and with the experimental data. The results show that the isotope 12C should be considered as a three- α cluster and the modified Yukawa potential is adaptable for cluster interactions.

Self-diffusion as a criterion for melting of dust crystal in the presence of magnetic field

The self-diffusion coefficient of a complex plasma in the presence of a magnetic field has been calculated. The presence of a magnetic field breaks the symmetry of the complex plasma system and modifies the dielectric property of the plasma medium. The effect of the magnetic field on the self-diffusion coefficient is investigated through the modified Yukawa potential. The dependence of the self-diffusion coefficient has been studied for both strongly coupled and weakly coupled regimes and for different values of the magnetic field. The self-diffusion coefficient is found to exhibit a distinct behaviour in strongly and weakly coupled regimes and the possibility of using this as a criterion for phase transition has been explored.

Bound and scattering states of modified Yukawa potential under relativistic spin and pseudospin symmetries with three tensor interactions

Within the framework of the spin and pseudospin symmetry limit, we approximately present the analytical solutions of bound and scattering states of the Dirac equation with modified Yukawa potential including three-tensor interactions comprising Coulomb-like, Yukawa-like and Hulthen-type potentials. The energy equation, phase shifts and normalized constant are obtained in a closed form. We also calculated the numerical results of the energy eigenvalues in the presence of tensor interactions. We discuss in detail the effect of the tensor interactions and the degeneracies removing role in the energy splitting of the pseudospin and spin doublets. Finally, special cases of the potential are also discussed.

Supersymmetry quantum mechanics to Dirac equation with a modified Yukawa potential and a Yukawa tensor term

Relativistic symmetries of Dirac equation, i.e. spin and pseudospin symmetries are investigated for a modified Yukawa potential including a Yukawa tensor interaction. Using supersymmetry quantum mechanics and a proper approximation to the inverse square centrifugal term, arbitrary-state solutions are reported in an analytical approach. We have included some useful numerical data and illustrative figures to represent a better understanding of the solutions.

Study of Deuteron with Modified Screen Coulomb (Yakawa) Potential

In this paper the Schrodinger equation was solved with modified screen coulomb (yukawa) potential and the one pion exchange potential. A mathematical method has been presented. Analytical solution of the Schrödinger equation with modified yukawa potential has been calculated. Then the ground state energy of deuteron was determined. We have used the second potential as a perturbation potential and found the energy shift of grand state energy of deuteron. Then we have used numerical method and solving the Schrödinger equation numerically. Finally, the results were compared with Bonn group and the HQCD.

Construction of analytical muffin-tin potentials by using experimental data: modified Yukawa potential

A method for the construction of the muffin-tin potential for many-atom systems by experimental characteristics of shape resonances is proposed. It is found that a model reproduces the experimental data correctly if the potentials of separate atoms reproduce both energies and mean radii of valent states of the atoms. It follows that if in an atom there are m different valent states, in the general case 2m variable parameters are required to simulate the potential of this atom. An analytical muffin-tin potential variant containing the Yukawa potential and a power-series expansion is considered. In the case of the and molecules it is sufficient to retain for this potential only two parameters per atom to reproduce the basic characteristics of resonances to a high precision.

On Analytic Continuability of Wave Functions

AbstractIn this paper we discuss the general form of a wave equation which in particular may be a SCHRÖDINGER, DIRAC, KLEIN‐GORDON equation. Under certain assumptions we obtain the necessary and sufficient condition for analytic continuability of its solutions considered as meromorphic functions. Next, we obtain some general formulae in the scattering theory for a potential of arbitrary symmetry. The values of scattering matrix elements are determined by the wave functions for the discrete energy spectrum and by their analytic continuations. Our theoretical results are applied to the deuteron disintegration problem and the phase shift calculation for a modified YUKAWA potential.