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Single-particle overlap functions and spectroscopic factors are calculated on the basis of Jastrow-type one-body density matrices of open-shell nuclei constructed by using a factor cluster expansion. The calculations use the relationship…

Studies of one-body density matrices (ODM) are performed in various correlation methods, such as the Jastrow method, the correlated basis function method, the Green's function method and the generator coordinate method aiming to extract the…

Nuclear Theory · Physics 2007-05-23 A. N. Antonov , M. K. Gaidarov , M. V. Ivanov , K. A. Pavlova , C. Giusti

Single-particle overlap functions and spectroscopic factors are calculated on the basis of the one-body density matrices (ODM) obtained for the nucleus $^{16}O$ employing different approaches to account for the effects of correlations. The…

Three different cluster expansions for the evaluation of correlated one-body properties of s-p and s-d shell nuclei are compared. Harmonic oscillator wave functions and Jastrow type correlations are used, while analytical expressions are…

Nuclear Theory · Physics 2009-11-06 Ch. C. Moustakidis , S. E. Massen , C. P. Panos , M. E. Grypeos , A. N. Antonov

Background: Spectroscopic factors, overlaps, and isospin symmetry are often used in conjunction with single-particle wave functions for the phenomenological analysis of nuclear structure and reactions. Many differing prescriptions for…

Nuclear Theory · Physics 2020-10-07 Carl R. Brune

We use simple analytic considerations and a Monte Carlo calculation of nucleons in a box to argue that the use of Jastrow functions as short-range correlators in the commonly employed two-body-cluster approximation causes significant errors…

Nuclear Theory · Physics 2011-03-22 J. Engel , J. Carlson , R. B. Wiringa

It is known from the scattering theory that the phase-shift of elastic collision does not provide a unique potential to describe the bound state of the two-particle system. The bound state wave function is the most crucial input for various…

Nuclear Theory · Physics 2019-11-05 B. F. Irgaziev , Jameel-Un Nabi , Abdul Kabir

A study of the effects of short-range correlations over the (e,e'p) reaction for low missing energy in closed shell nuclei is presented. We use correlated, quasi-hole overlap functions extracted from the asymptotic behavior of the one-body…

Nuclear Theory · Physics 2008-11-26 M. Mazziotta , J. E. Amaro , F. Arias de Saavedra

One-nucleon overlap functions, needed for nucleon-removal reaction calculations, are solutions of an inhomogeneous equation with the source term defined by the wave functions of the initial and final nuclear states and interaction between…

Nuclear Theory · Physics 2020-12-30 N. K. Timofeyuk

Relationships are obtained connecting the two-nucleon overlap function of the eigenstates in the (A-2) particle system with the asymptotic behavior of the two-body density matrix for the ground state of the A-particle system.This makes it…

Nuclear Theory · Physics 2009-10-31 A. N. Antonov , S. S. Dimitrova , M. V. Stoitsov , D. Van Neck , P. Jeleva

We present a calculation of spectroscopic factors within coupled-cluster theory. Our derivation of algebraic equations for the one-body overlap functions are based on coupled-cluster equation-of-motion solutions for the ground and excited…

Nuclear Theory · Physics 2014-11-20 Ø. Jensen , G. Hagen , T. Papenbrock , D. J. Dean , J. S. Vaagen

The radial overlap correction, $\delta_{RO}$ is re-examined for 30 superallowed $\beta$ decays using the shell model with Hartree-Fock (HF) radial wave functions. Our calculation is based on the Skyrme interaction including Coulomb,…

Nuclear Theory · Physics 2022-04-20 Latsamy Xayavong , Nadezda Smirnova

Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing important role in nuclear reactions, nuclear structure and nuclear astrophysics. In this paper the physical reasons of the Coulomb renormalization of the…

Nuclear Theory · Physics 2015-06-11 A. M. Mukhamedzhanov

Using the relationship between the two-particle overlap functions (TOF's) and the two-body density matrix (TDM), the TOF's for $^{16}$O$(e,e^{\prime}pp)^{14}$C reaction are calculated on the basis of TDM obtained with a Jastrow-type…

Nuclear Theory · Physics 2007-05-23 D. N. Kadrev , M. V. Ivanov , A. N. Antonov , C. Giusti , F. D. Pacati

Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing important role in nuclear reactions, nuclear structure and nuclear astrophysics. In this paper a connection between ANCs and resonance widths of the…

Nuclear Theory · Physics 2019-02-27 Akram Mukhamedzhanov

The RPA long range correlations are known to play a significant role in understanding the depletion of single particle-hole states observed in (e, e') and (e, e'p) measurements. Here the Random Phase Approximation (RPA) theory, implemented…

Nuclear Theory · Physics 2009-11-11 M. Dupuis , S. Karataglidis , E. Bauge , J. P. Delaroche , D. Gogny

The two-body density matrix for $^{4}He,^{16}O$ and $^{40}Ca$ within the Low-order approximation of the Jastrow correlation method is considered. Closed analytical expressions for the two-body density matrix, the center of mass and relative…

Nuclear Theory · Physics 2009-10-31 S. S. Dimitrova , D. N. Kadrev , A. N. Antonov , M. V. Stoitsov

Analytical expressions of the one- and two- body terms in the cluster expansion of the one-body density matrix and momentum distribution of the s-p and s-d shell nuclei with N=Z are derived. They depend on the harmonic oscillator parameter…

Nuclear Theory · Physics 2009-11-06 Ch. C. Moustakidis , S. E. Massen

Background: An asymptotic normalization coefficient (ANC) characterizes the asymptotic form of a one-nucleon overlap integral required for description of nucleon-removal reactions. Purpose: We investigate the impact of the particle…

Nuclear Theory · Physics 2015-06-04 J. Okołowicz , N. Michel , W. Nazarewicz , M. Płoszajczak

It is extremely important to devise a reliable method to extract spectroscopic factors from transfer cross sections. We analyse the standard DWBA procedure and combine it with the asymptotic normalisation coefficient, extracted from an…

Nuclear Theory · Physics 2008-11-26 D. Y. Pang , F. M. Nunes , A. M. Mukhamedzhanov
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