Unitary correlation in nuclear reaction theory

Abstract

We prove that the amplitudes for the (d,p), (d,pn) and (e,e'p) reactions determining the asymptotic behavior of the exact scattering wave functions in the corresponding channels are invariant under unitary correlation operators while the spectroscopic factors are not. Moreover, the exact reaction amplitudes are not parametrized in terms of the spectroscopic factors and cannot provide a tool to determine the spectroscopic factors.

5 pages

References in corpus (11)

• From low-momentum interactions to nuclear structure
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• A unitary correlation operator method
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• Reduced neutron spectroscopic factors when using potential geometries constrained by Hartree-Fock calculations
• Charge-dependent calculations of single-particle energies in nuclei around ^{16}O with modern nucleon-nucleon interactions
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• The unitary-model-operator approach to nuclear many-body problems

Cited by in corpus (18)

• Quantum Monte Carlo calculations of spectroscopic overlaps in $A\le 7$ nuclei
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Asymptotic normalization coefficients from ab initio calculations
• Quenching of spectroscopic factors for proton removal in oxygen isotopes
• Theory of deuteron stripping. From surface integrals to generalized $R$-matrix approach
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Scale dependence of deuteron electrodisintegration
• Validity of the distorted-wave impulse-approximation description of ${}^{40}$Ca$(e,e^{\prime }p{)}^{39}$K data using only ingredients from a nonlocal dispersive optical model
• Astrophysical $S$ factor for the ${}^{15}\mathrm{N}(p,\gamma ){}^{16}\mathrm{O}$ reaction from $R$-matrix analysis and asymptotic normalization coefficient for ${}^{16}\mathrm{O}\to {}^{15}\mathrm{N}+p$. Is any fit acceptable?
• Coulomb renormalization and ratio of proton and neutron asymptotic normalization coefficients for mirror nuclei
• Elastic nucleon-nucleus scattering as a direct probe of correlations beyond the independent-particle model
• Closed-shell properties of ${}^{24}$O with {\em ab initio} coupled-cluster theory
• What densities can be effectively probed in quasifree single-nucleon knockout reactions?
• Merging ab initio theory and few-body approach for $(d,p)$ reactions
• Spectroscopic factors, overlaps, and isospin symmetry from an $R$-matrix point of view
• Surface-integral formalism of deuteron stripping
• Study of nonlocality effects in direct capture reactions with Lagrange-mesh $R$-matrix method
• Combining nuclear reactions and structure with the dispersive optical model