Possible interpretation of the complex expectation values associated with resonances

• URL: http://arxiv.org/abs/2301.05355v1
• Date: Fri, 13 Jan 2023 01:34:10 GMT
• Title: Possible interpretation of the complex expectation values associated with resonances
• Authors: Takayuki Myo, Kiyoshi Kato
• Abstract summary: We propose a possible scheme to interpret the complex expectation values associated with resonances having the complex eigenenergies. We apply the present scheme to the several nuclear resonances of $12$C including the Hoyle state, and neutron/proton-rich nuclei of $6$He, $6$Be, $8$He, and $8$C.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a possible scheme to interpret the complex expectation values associated with resonances having the complex eigenenergies. Using the Green's function for resonances, the expectation value is basically described by the Breit-Wigner distribution as a function of the real excitation energy. In the expression of the complex expectation values for resonances, the real part brings the integral value of the distribution, while the imaginary part produces the deviation from the Breit-Wigner distribution,which explains a shift of the peak in the strength from the resonance energy. We apply the present scheme to the several nuclear resonances of $^{12}$C including the Hoyle state, and neutron/proton-rich nuclei of $^6$He, $^6$Be, $^8$He, and $^8$C. In these nuclei, many-body resonances are obtained as the complex-energy eigenstates under the correct boundary condition using the complex scaling method, and their nuclear radii are uniquely evaluated. We discuss the peculiar energy dependence of the strength function of the square radius for the resonances in these nuclei.

Related papers

• Density of reflection resonances in one-dimensional disordered Schrödinger operators [0.0]
  We develop an analytic approach to evaluating the density $(cal E,)$ of complex resonance poles with real energies.<n>We show that leveraging this link allows for a detailed analysis of the resonance density in the weak disorder limit.<n>Our approach yields a limiting formula for $(cal E,)$ in the opposite case of a short disordered sample.
  arXiv  Detail & Related papers  (2025-11-17T16:39:48Z)
• Construction of the Jaynes-Cummings interaction over the finite two-dimensional oscillator [51.56484100374058]
  The construction of the coupling between the degenerate energy states of the finite oscillator and the two levels of the atom allows the identification of excitation-conserved eigenbasis.<n>A dynamical approach to the evolution of mean values of the fields mediated by the atom is shown in the interaction picture.
  arXiv  Detail & Related papers  (2025-09-08T20:49:16Z)
• Fully Collective Superradiant Lasing with Vanishing Sensitivity to Cavity Length Vibrations [0.0]
  A continuous-wave active atomic clock has been elusive due to parasitic heating from spontaneous emission while repumping the atoms.<n>We propose a solution by replacing the random emission with coupling to an auxiliary cavity, making repumping a fully collective process.<n>We find this system is capable of producing an $mathcalO$(100 $mu$Hz)-linewidth continuous-wave superradiant laser.
  arXiv  Detail & Related papers  (2025-06-13T22:40:27Z)
• Accurate Analytic Model for the Energy Spectrum of the Anharmonic Oscillator [0.0]
  In this work, we extend our results to the calculation of the full energy spectrum. The energy levels found are accurate for all couplings and principal quantum numbers considered here.
  arXiv  Detail & Related papers  (2024-08-02T09:54:27Z)
• Cooperative decay of an ensemble of atoms in a one-dimensional chain with a single excitation [0.0]
  Superradiance and subradiance arise naturally without the eigenvalue problem of the atom-atom interaction Green function. The cooperative decay rate can be interpreted as the imaginary part of the expectation value of the effective non-Hermitian Hamiltonian of the system. A simple approximated expression for the cooperative decay rate is obtained as a function of the lattice constant d and the atomic number N.
  arXiv  Detail & Related papers  (2024-06-13T06:41:43Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
  We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
  arXiv  Detail & Related papers  (2022-09-12T08:21:12Z)
• Radiative Properties of an Artificial Atom coupled to a Josephson Junction Array [0.0]
  We study the radiative properties of an artificial atom coupled to a multimode cavity formed by an array of Josephson junctions. Introducing a tunable coupling element between the atom and the array, we demonstrate that such a system can exhibit a crossover from a perturbative to non-perturbative regime of light-matter interaction.
  arXiv  Detail & Related papers  (2022-05-27T17:40:37Z)
• Spectral density reconstruction with Chebyshev polynomials [77.34726150561087]
  We show how to perform controllable reconstructions of a finite energy resolution with rigorous error estimates. This paves the way for future applications in nuclear and condensed matter physics.
  arXiv  Detail & Related papers  (2021-10-05T15:16:13Z)
• Nuclei with up to $\boldsymbol{A=6}$ nucleons with artificial neural network wave functions [52.77024349608834]
  We use artificial neural networks to compactly represent the wave functions of nuclei. We benchmark their binding energies, point-nucleon densities, and radii with the highly accurate hyperspherical harmonics method.
  arXiv  Detail & Related papers  (2021-08-15T23:02:39Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Complex scaling spectrum using multiple avoided crossings at stabilization graph [0.0]
  I demonstrate that resonance width is generally influenced by several neighboring quasi-discrete continuum states. I propose a new method to calculate the complex resonance energy together with several states of complex rotated continuum.
  arXiv  Detail & Related papers  (2020-04-14T09:14:51Z)
• Resonant high-energy bremsstrahlung of ultrarelativistic electrons in the field of a nucleus and a pulsed light wave [68.8204255655161]
  Research investigates the resonant high-energy spontaneous bremsstrahlung of ultrarelativistic electrons with considerable energies in the field of a nucleus and a quasimonochromatic laser wave.
  arXiv  Detail & Related papers  (2020-04-05T16:27:11Z)
• Hermite function solutions of the Schr\"odinger equation for the sextic oscillator [0.0]
  We find that this is possible for an infinite hierarchy of potentials discriminated by the parameter setting the strength of the centrifugal barrier. For a particular member of the hierarchy, there exist infinitely many bound states with square integrable wave functions, written in terms of the Hermite functions.
  arXiv  Detail & Related papers  (2020-03-14T18:29:45Z)

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.