The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions

Abstract

The LIT method has allowed ab initio calculations of electroweak cross sections in light nuclear systems. This review presents a description of the method from both a general and a more technical point of view, as well as a summary of the results obtained by its application. The remarkable features of the LIT approach, which make it particularly efficient in dealing with a general reaction involving continuum states, are underlined. Emphasis is given on the results obtained for electroweak cross sections of few--nucleon systems. Their implications for the present understanding of microscopic nuclear dynamics are discussed.

83 pages, 31 figures. Topical review. Corrected typos

References in corpus (60)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Correlated Electrons in High Temperature Superconductors
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Evolution of Nuclear Spectra with Nuclear Forces
• Response Functions from Integral Transforms with a Lorentz Kernel
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• State Dependent Effective Interaction for the Hyperspherical Formalism
• The alpha-particle based on modern nuclear forces
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• alpha-particle photoabsorption with a realistic nuclear force
• Weak proton capture on 3He
• Large-space shell-model calculations for light nuclei
• Simultaneous measurement of the photodisintegration of 4He in the giant dipole resonance region
• Novel NN interaction and the spectroscopy of light nuclei
• Total Photoabsorption Cross Sections of A=6 Nuclei with Complete Final State Interaction
• Photo- and Electro-Disintegration of 3He at Threshold and pd Radiative Capture
• New inversion methods for the Lorentz Integral Transform
• Neutrino Breakup of A=3 Nuclei in Supernovae
• Neutron-3H and Proton-3He Zero Energy Scattering
• Photodisintegration of Three-Body Nuclei with Realistic 2N and 3N Forces
• Two-body Photodisintegration of ${}^4$He with Full Final State Interaction
• Lorentz Integral Transform for Inclusive and Exclusive Cross Sections with the Lanczos Method
• Benchmark Calculation of the Three-Nucleon Photodisintegration
• Is there a Pronounced Giant Dipole Resonance in ^4He?
• Longitudinal response functions of 3H and 3He
• Ground State Wave Functions in the Hyperspherical Formalism for Nuclei with A > 4
• Accurate Four-Body Response Function with Full Final State Interaction: Application to Electron Scattering off 4He
• Effect of P-wave interaction in 6He and 6Li photoabsorption
• Low-Energy Inelastic Neutrino Reactions on 4He
• Improved (e,e') response functions at intermediate momentum transfers: the 3He case
• Inclusive electron scattering off 4He
• Complex Energy Method in 4-Body Faddeev-Yakubovsky Equations
• Near-threshold measurement of the 4He(g,n) reaction
• Complex Energy Method for Scattering Processes
• Exact 4He Spectral Function in a Semirealistic NN Potential Model
• Photonuclear sum rules and the tetrahedral configuration of ${}^4$He
• The Piecewise Moments Method: A Generalized Lanczos Technique for Nuclear Response Surfaces
• Photodisintegration of the Three-Nucleon Systems and their Polarizabilities
• Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
• Neutrino neutral reaction on 4He, effects of final state interaction and realistic NN force
• Total 4He Photoabsorption Cross Section Revisited: Correlated HH versus Effective Interaction HH
• Calculation of Exclusive Cross Sections with the Lorentz Integral Transform Method
• Test of J-matrix inverse scattering potentials on electromagnetic reactions of few-nucleon systems
• Photodisintegration of light nuclei for testing a correlated realistic interaction in the continuum
• The ${}^4$He$(e,e^{\prime }p{)}^3$H Reaction with Full Final--State Interaction
• Construction of Consistent Meson Exchange Currents by Laplace Transform
• The Axial-Vector Current in Nuclear Many-Body Physics
• Ab initio calculation of the 4He(e,e'd)d reaction
• Application of the Lorentz-Transform Technique to Meson Photoproduction
• Convergence properties of the effective interaction
• On the Accuracy of Hyperspherical Harmonics Approaches to Photonuclear Reactions
• ${\pi }^0$-Photoproduction on the deuteron via $\Delta$-excitation using the Lorentz Integral Transform
• Electromagnetic reactions of few-body systems with the Lorentz integral transform method
• Elimination of Rotational Degrees of Freedom in Expansion Methods for Three Nucleons
• Electromagnetic response functions of few-nucleon systems

Cited by in corpus (93)

• Solar fusion cross sections II: the pp chain and CNO cycles
• Coupled-cluster computations of atomic nuclei
• Electric dipole polarizability of ${}^{48}$Ca and implications for the neutron skin
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Optical potential from first principles
• First principles description of the giant dipole resonance in 16O
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• From bound states to the continuum
• On a redundancy in the parity-violating 2-nucleon contact Lagrangian
• Electric dipole polarizability from first principles calculations
• Bound state techniques to solve the multiparticle scattering problem
• The isoscalar monopole resonance of the alpha particle: a prism to nuclear Hamiltonians
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Microscopic optical potentials for calcium isotopes
• Complex scaling : physics of unbound light nuclei and perspective
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Radiative capture reactions in lattice effective field theory
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Ab initio study of the photoabsorption of ${}^4$He
• Spectral density estimation with the Gaussian Integral Transform
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Computing the dipole polarizability of 48Ca with increased precision
• An efficient method for evaluating energy-dependent sum rules
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics
• Spectral density reconstruction with Chebyshev polynomials
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Search for three-nucleon force effects on the longitudinal response function of 4He
• Testing semi-local chiral two-nucleon interaction in selected electroweak processes
• Bound state equation for the Nakanishi weight function
• A Bayesian analysis of the nucleon QCD sum rules
• The Lorentz Integral Transform and its Inversion
• Is the first excited state of the $\alpha$-particle a breathing mode?
• Relativistic effects in ab-initio electron-nucleus scattering
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• Improved transverse (e,e') response function of 3He at intermediate momentum transfers
• The Transverse Electron Scattering Response Function of 3He
• Uncertainty quantification in electromagnetic observables of nuclei
• Quantum error mitigation for Fourier moment computation
• Scattering phase shifts from a quantum computer
• Case study: calculation of a narrow resonance with the LIT method
• Energy Resolution with the Lorentz integral transform
• Emergence of nuclear clustering in electric-dipole excitations of ${}^6$Li
• Coupling the Lorentz Integral Transform (LIT) and the Coupled Cluster (CC) Methods: A way towards continuum spectra of "not-so-few-body" systems
• Euclidean to Minkowski Bethe-Salpeter amplitude and observables
• Transverse electron scattering response function of ${}^3$He with $\Delta$-isobar degrees of freedom
• Threshold 3He and 3H Transverse Electron Scattering Response Functions
• Frame dependence of 3He transverse (e,e') response functions at intermediate momentum transfers
• Electric dipole polarizability of ${}^{58}$Ni
• On the ill-posed character of the Lorentz integral transform
• Transverse electron scattering response function of 3He in the quasi-elastic peak region and beyond with Delta isobar degrees of freedom
• Photon Scattering with the Lorentz Integral Transform Method
• 16O electroweak response functions from first principles
• Faster spectral density calculation using energy moments
• Spectral function for ${}^4$He using the Chebyshev expansion in coupled-cluster theory
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Calculating reactions with use of no-core shell-model states
• Method to solve integral equations of the first kind with an approximate input
• Electromagnetic reactions from coupled-cluster theory
• On calculating response functions via their Lorentz integral transforms
• Integral transform methods: a critical review of various kernels
• The Lorentz integral transform (LIT) method
• The effective interaction hyperspherical harmonics method for non-local potentials
• Calculation of the astrophysical S-factor S_12 with the Lorentz integral transform
• Non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: Detailed description
• Non-Hermitian Quantum Mechanics Approach for Extracting and Emulating Continuum Physics Based on Bound-State-Like Calculations
• Final-state interactions and spin structure in $E1$ breakup of ${}^{1}1$Li in Halo EFT
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Low-energy dipole strength in 8He
• Theoretical study of the ${}^4\mathrm{He}(\gamma ,\mathrm{p}{)}^3\mathrm{H}$ and ${}^4\mathrm{He}(\gamma ,\mathrm{n}{)}^3\mathrm{He}$ reactions
• A Time Dependent Multi-Determinant approach to nuclear dynamics
• Ab initio calculations of monopole sum rules: From finite nuclei to infinite nuclear matter
• Determination of S-factors with the LIT method
• Semiclassical approximations of photoabsorption cross sections beyond the continuum threshold
• Derivation of transition density from the observed 4He(e,e')4He(0^+_2) form factor raising the alpha-particle monopole puzzle
• How to increase the applicability of integral transform approaches in physics?
• Calculation of Dynamical Response Functions Using a Bound-state Method
• Direct ab initio calculation of the ${}^4$He nuclear electric dipole polarizability
• Equation for the Nakanishi weight function using the inverse Stieltjes transform
• Optimized binning for response function reconstruction via Chebyshev expansions
• Electromagnetic Excitations and Responses in Nuclei from First Principles
• Some relativistic aspects of nuclear dynamics at the electrodisintegration of nuclei
• The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory
• Neutrino Induced 4He Break-up Reaction -- Application of the Maximum Entropy Method in Calculating Nuclear Strength Function
• Electromagnetic sum rules for 22O from coupled-cluster theory
• Nuclear two point correlation functions on a quantum-computer
• A small parameter approach for few-body problems
• Is the isoscalar monopole resonance of the $\alpha$-particle a collective mode?