Universality of many-body two-nucleon momentum distributions: the correlated nucleon spectral function of complex nuclei revisited

Abstract

Realistic NN interactions and many-body approaches have been used to calculate ground-state properties of nuclei with A=3, 4, 12, 16, 40, with particular emphasis on various kinds of momentum distributions. It is shown that at proper values of the relative (rel) and center-of-mass (c.m.) momenta, the two-nucleon momentum distribution n_A^{N_1N_2} (k_{rel}, K_{c.m.}, θ) exhibits the property of factorization, namely n_A^{N_1N_2} (k_{rel}, K_{c.m.}, θ) \simeq n_{rel}(k_{rel}) n_(c.m.)( K{c.m.}). The factorization of the momentum distributions , bearing a universal character, results from a general property of realistic nuclear wave functions, namely their factorization at short inter-nucleon separations. The factorization of the two-nucleon momentum distribution allows one to develop the correlated part of the nucleon spectral function P(k,E) in terms of a convolution integral involving the product of the many-body, parameter-free relative and c.m. momentum distributions of a given nucleus. It is shown that: (i) the obtained spectral function perfectly satisfies the momentum sum rule, i.e. when it is integrated over the removal energy E, it fully reproduces the momentum distributions obtained from realistic many-body wave functions , (ii) in order to saturate the momentum sum rule at high values of the momentum (k \simeq 5 fm^{-1}) the spectral function has to be integrate up to E \simeq 400 MeV. To sum up a realistic, parameter-free many-body Spectral function has been developed such that : i) a phenomenological convolution spectral function developed in the past is fully justified from a many-body point of view , and (ii) the model dependence which might be present in calculations of inclusive electroweak processes could be reduced by the use of the convolution spectral function developed here.

arXiv comment42 pages, 15 figures

References in corpus (25)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Momentum sharing in imbalanced Fermi systems
• Realistic Model of the Nucleon Spectral Function in Few- and Many- Nucleon Systems
• Tensor Forces and the Ground-State Structure of Nuclei
• Global Study of Nuclear Structure Functions
• Electron- and neutrino-nucleus scattering in the impulse approximation regime
• Nucleon and nucleon-pair momentum distributions in A <= 12 nuclei
• The EMC Effect and High Momentum Nucleons in Nuclei
• Generalized nuclear contacts and the nucleon's momentum distributions
• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• Neutron electromagnetic form factors and inclusive scattering of polarized electrons by polarized ${}^3$He and ${}^3$H targets
• Nucleon momentum distributions, their spin-isospin dependence and short-range correlations
• Experimental evaluation of the nuclear neutron-proton contact
• Calculations of the Exclusive Processes 2H(e,e'p)n, 3He(e,e'p)2H and 3He(e,e'p)(pn) within a Generalized Glauber Approach
• On the dependence of the wave function of a bound nucleon on its momentum and the EMC effect
• Renormalized Fermi hypernetted chain approach in medium-heavy nuclei
• Universality of nucleon-nucleon short-range correlations: the factorization property of the nuclear wave function, the relative and center-of-mass momentum distributions, and the nuclear contacts
• Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions
• Universality of nucleon-nucleon short-range correlations: two-nucleon momentum distributions in few-body systems
• The Generalized Nuclear Contact and its Application to the Photoabsorption Cross-Section
• Multi-Nucleon Short-Range Correlation Model for Nuclear Spectral Functions: I. Theoretical Framework
• A microscopic nucleon spectral function for finite nuclei featuring two- and trhee-nucleon short-range correlations: I. The model vs. ab-initio calculations for the three-nucleon systems
• Short range correlations and wave function factorization in light and finite nuclei

Cited by in corpus (7)

• Probing the core of the strong nuclear interaction
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Revealing the short-range structure of the "mirror nuclei" ${}^3$H and ${}^3$He
• Generalized Contact Formalism Analysis of the ${}^4$He$(e,e^{\prime }pN)$ Reaction
• Densities and momentum distributions in A <=12 nuclei from chiral effective field theory interactions
• Short-range correlations and the charge density
• Nucleon-Nucleon Short-Ranged Correlations, $\beta$ Decay and the Unitarity of the CKM Matrix