The DKP Equation in Presence of a Woods-Saxon Potential: Transmission Resonances and Bound States

• URL: http://arxiv.org/abs/2504.16123v1
• Date: Sat, 19 Apr 2025 21:42:38 GMT
• Title: The DKP Equation in Presence of a Woods-Saxon Potential: Transmission Resonances and Bound States
• Authors: Alexis Garzón, Ricardo Fernández, Vicente A. Arévalo, David Laroze, Laura M. Pérez, Benjamín de Zayas, Clara Rojas,
• Abstract summary: We solve the Duffin-Kemmer-Petiau equation in the presence of the Woods-Saxon potential barrier and well for spin-one particles.<n>Our results are compared with those obtained for the square potential barrier and the cusp potential barrier, which represent limiting cases of the Woods-Saxon potential barrier.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we solve the Duffin-Kemmer-Petiau (DKP) equation in the presence of the Woods-Saxon potential barrier and well for spin-one particles. We derive the scattering solution in terms of the Gaussian hypergeometric function ${}_2F_1(a, b; c; z)$, the regularized Gaussian hypergeometric function ${}_2\tilde{F}_1(a, b; c; z)$, and the Gamma function $\Gamma(x)$. Our analysis reveals the presence of transmission resonances. To observe these resonances, we calculate and plot the transmission $T$ and reflection $R$ coefficients for various parameters of the Woods-Saxon potential barrier. Our results are compared with those obtained for the square potential barrier and the cusp potential barrier, which represent limiting cases of the Woods-Saxon potential barrier. Furthermore, we investigate the bound state solutions, determining the critical turning point $V_{cr}$ to study particle-antiparticle creation and compute the norm $N$. Finally, we also compare our results with those obtained for the square potential well and the cusp potential well, confirming that pair creation occurs in both potential wells.

Related papers

• Tripartite entanglement from experimental data: $B^0\to K^{*0}μ^+μ^-$ as a case study [49.1574468325115]
  We develop an angular analysis based on the reconstruction of the helicity amplitudes from dedicated experimental data corresponding to the tripartite state composed by one qutrit and two qubits. As an application of our analysis, we performed a full quantum tomography of the final state in the $B0to K*0mu+mu-$ decays using data recorded by LHCb collaboration.
  arXiv  Detail & Related papers  (2024-09-19T18:10:14Z)
• Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles [44.99833362998488]
  We discuss conserving and the violation of the entanglementMP inequality in a system of two vector bosons produced in the decay of a spin-0 particle. As an exemplary process of this kind we use the decay $Hto ZZ$ with anomalous coupling.
  arXiv  Detail & Related papers  (2024-05-26T11:21:06Z)
• The quantum beam splitter with many partially indistinguishable photons: multiphotonic interference and asymptotic classical correspondence [44.99833362998488]
  We present the analysis of the quantum two-port interferometer in the $n rightarrow infty$ limit of $n$ partially indistinguishable photons. Our main result is that the output distribution is dominated by the $O(sqrtn)$ channels around a certain $j*$ that depends on the degree of indistinguishability. The form is essentially the doubly-humped semi-classical envelope of the distribution that would arise from $2 j*$ indistinguishable photons, and which reproduces the corresponding classical intensity distribution.
  arXiv  Detail & Related papers  (2023-12-28T01:48:26Z)
• Dynamically Assisted Tunneling in the Floquet Picture [0.0]
  We study how tunneling through a potential barrier can be enhanced by an additional harmonically electric field. We find distinct signatures of resonances when the incident energy $E$ equals the driving frequency. We consider the truncated Coulomb potential relevant for nuclear fusion.
  arXiv  Detail & Related papers  (2023-09-21T16:09:17Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• One-dimensional pseudoharmonic oscillator: classical remarks and quantum-information theory [0.0]
  Motion of a potential that is a combination of positive quadratic and inverse quadratic functions of the position is considered. The dependence on the particle energy and the factor $mathfraka$ describing a relative strength of its constituents is described.
  arXiv  Detail & Related papers  (2023-04-13T11:50:51Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• The superradiance phenomenon in spin-one particles [0.0]
  We show that the Duffin--Kemmer--Petiau (DKP) equation is equivalent to the Klein--Gordon equation formalism. The results show the presence of the superradiance phenomenon when $R$ for a specific region in the potential becomes greater than one.
  arXiv  Detail & Related papers  (2023-02-03T13:46:01Z)
• Analytical bound state solutions of the Dirac equation with the Hulth\'en plus a class of Yukawa potential including a Coulomb-like tensor interaction [0.0]
  We analytically develop the relativistic energy eigenvalues and associated Dirac spinor components of wave functions. We find that both methods give entirely the same results. Modifiable of our results into some particular potential cases, useful for other physical systems, are also discussed.
  arXiv  Detail & Related papers  (2021-01-04T16:15:07Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• The $\eta$-pseudo-hermitic generator in the deformed Woods Saxons potential [0.0]
  This generator applies to the Dirac equation which consists of two spinor wave functions and non-hermetic potentials. We show the correlation between the potential parameters with transmission probabilities that $eta$-pseudo-hermetic using the change of focal points on Hamiltonian can be formalized.
  arXiv  Detail & Related papers  (2020-07-29T04:59:30Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.