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Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions

Jan Ryckebusch (UGent) , Wim Cosyn (UGent) , Tom Vieijra (UGent) and Corneel Casert (UGent)
(2019) PHYSICAL REVIEW C. 100(5).
Author
Organization
Abstract
Background: High-momentum nucleons in a nuclear environment can be associated with short-range correlations (SRC) that primarily occur between nucleon pairs. Observations and theoretical developments have indicated that the SRC properties can be captured by general quantitative principles that are subject to model dependence upon quantification. The variations in the aggregated effect of SRC across nuclei, however, can be quantified in an approximately model-independent fashion in terms of the so-called SRC scaling factors that capture the aggregated effect of SRC for a specific nucleus A relative to the deuteron (A-to-d). Purpose: We aim to provide predictions for the SRC scaling factors across the nuclear periodic table and determine the relative contribution of the different nucleon pair combinations to this quantity. We will also determine the SRC scaling factors for both bound protons and bound neutrons and study how these quantities evolve with the neutron-to-proton (N/Z) ratio in asymmetric nuclei. Methods: We employ the low-order correlation operator approximation (LCA) to compute the SRC contribution to the single-nucleon momentum distribution and ratios of A-to-d momentum distributions. We do this for a sample of fifteen nuclei from He to Pb, thereby gaining access to the evolution of the SRC scaling factor with the nuclear mass 4 <= A <= 208 and the neutron-to-proton ratio 1.0 <= N/Z <= 1.54. Results: We provide evidence for approximate A-to-d scaling of the single-nucleon momentum distribution at nucleon momenta exceeding about 4 fm(-1). For the studied sample of fifteen nuclei, the total SRC scaling factor is in the range 4.05-5.14, of which roughly 3 can be attributed to proton-neutron (pn) correlations. The SRC scaling factors receive sizable contributions from pp and nn correlations. They depend on the (N/Z) ratio reflecting the fact that the minority species (protons) becomes increasingly more short-range correlated with increasing (N/Z). We compare the computed SRC scaling factors in the LCA with those of ab initio calculations and with measured quantities from SRC-sensitive inclusive electron-scattering data. Conclusions: It is shown that the LCA provides predictions for the SRC scaling factors across the nuclear table that are in line with measured values. In asymmetric nuclei there are sizable differences between the SRC scaling factors for protons and neutrons. It is suggested that this phenomenon may impact the variations of the magnitude of the European Muon Collaboration (EMC) effect across nuclei. Our results corroborate the finding that SRC physics can be qualitatively understood by universal principles that build on local modifications of mean-field wave functions of nucleon pairs.
Keywords
SHORT-RANGE CORRELATIONS, GROUND-STATE, DEPENDENCE, KNOCKOUT

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MLA
Ryckebusch, Jan, et al. “Isospin Composition of the High-Momentum Fluctuations in Nuclei from Asymptotic Momentum Distributions.” PHYSICAL REVIEW C, vol. 100, no. 5, 2019, doi:10.1103/PhysRevC.100.054620.
APA
Ryckebusch, J., Cosyn, W., Vieijra, T., & Casert, C. (2019). Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions. PHYSICAL REVIEW C, 100(5). https://doi.org/10.1103/PhysRevC.100.054620
Chicago author-date
Ryckebusch, Jan, Wim Cosyn, Tom Vieijra, and Corneel Casert. 2019. “Isospin Composition of the High-Momentum Fluctuations in Nuclei from Asymptotic Momentum Distributions.” PHYSICAL REVIEW C 100 (5). https://doi.org/10.1103/PhysRevC.100.054620.
Chicago author-date (all authors)
Ryckebusch, Jan, Wim Cosyn, Tom Vieijra, and Corneel Casert. 2019. “Isospin Composition of the High-Momentum Fluctuations in Nuclei from Asymptotic Momentum Distributions.” PHYSICAL REVIEW C 100 (5). doi:10.1103/PhysRevC.100.054620.
Vancouver
1.
Ryckebusch J, Cosyn W, Vieijra T, Casert C. Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions. PHYSICAL REVIEW C. 2019;100(5).
IEEE
[1]
J. Ryckebusch, W. Cosyn, T. Vieijra, and C. Casert, “Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions,” PHYSICAL REVIEW C, vol. 100, no. 5, 2019.
@article{8636548,
  abstract     = {{Background: High-momentum nucleons in a nuclear environment can be associated with short-range correlations (SRC) that primarily occur between nucleon pairs. Observations and theoretical developments have indicated that the SRC properties can be captured by general quantitative principles that are subject to model dependence upon quantification. The variations in the aggregated effect of SRC across nuclei, however, can be quantified in an approximately model-independent fashion in terms of the so-called SRC scaling factors that capture the aggregated effect of SRC for a specific nucleus A relative to the deuteron (A-to-d). 
Purpose: We aim to provide predictions for the SRC scaling factors across the nuclear periodic table and determine the relative contribution of the different nucleon pair combinations to this quantity. We will also determine the SRC scaling factors for both bound protons and bound neutrons and study how these quantities evolve with the neutron-to-proton (N/Z) ratio in asymmetric nuclei. 
Methods: We employ the low-order correlation operator approximation (LCA) to compute the SRC contribution to the single-nucleon momentum distribution and ratios of A-to-d momentum distributions. We do this for a sample of fifteen nuclei from He to Pb, thereby gaining access to the evolution of the SRC scaling factor with the nuclear mass 4 <= A <= 208 and the neutron-to-proton ratio 1.0 <= N/Z <= 1.54. 
Results: We provide evidence for approximate A-to-d scaling of the single-nucleon momentum distribution at nucleon momenta exceeding about 4 fm(-1). For the studied sample of fifteen nuclei, the total SRC scaling factor is in the range 4.05-5.14, of which roughly 3 can be attributed to proton-neutron (pn) correlations. The SRC scaling factors receive sizable contributions from pp and nn correlations. They depend on the (N/Z) ratio reflecting the fact that the minority species (protons) becomes increasingly more short-range correlated with increasing (N/Z). We compare the computed SRC scaling factors in the LCA with those of ab initio calculations and with measured quantities from SRC-sensitive inclusive electron-scattering data. 
Conclusions: It is shown that the LCA provides predictions for the SRC scaling factors across the nuclear table that are in line with measured values. In asymmetric nuclei there are sizable differences between the SRC scaling factors for protons and neutrons. It is suggested that this phenomenon may impact the variations of the magnitude of the European Muon Collaboration (EMC) effect across nuclei. Our results corroborate the finding that SRC physics can be qualitatively understood by universal principles that build on local modifications of mean-field wave functions of nucleon pairs.}},
  articleno    = {{054620}},
  author       = {{Ryckebusch, Jan and Cosyn, Wim and Vieijra, Tom and Casert, Corneel}},
  issn         = {{2469-9985}},
  journal      = {{PHYSICAL REVIEW C}},
  keywords     = {{SHORT-RANGE CORRELATIONS,GROUND-STATE,DEPENDENCE,KNOCKOUT}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{13}},
  title        = {{Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions}},
  url          = {{http://dx.doi.org/10.1103/PhysRevC.100.054620}},
  volume       = {{100}},
  year         = {{2019}},
}

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