<i>Ab Initio</i>
 Computation of the Longitudinal Response Function in 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Ca</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>40</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>

Sobczyk, J. E.; Acharya, Bijaya; Bacca, Sonia; Hagen, G.

doi:10.1103/physrevlett.127.072501

Cited by 21 publications

(14 citation statements)

References 46 publications

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“…In many cases, this is sufficient to allow detailed calculations or at least realistic modeling of the contribution from SRCs in other reactions. Where ab initio calculations are not available, or where their input is not directly used in scattering calculations, momentum distributions or spectral functions can be constructed based on a combination of mean-field and SRC contributions (18,67), although there has been progress recently on extracting structure functions directly from ab initio calculations (26,68,69). The Generalized Contact Formalism (GCF) discussed in Sec.…”

Section: Impact Of Srcs On Other Fields Of Physicsmentioning

confidence: 99%

Progress in understanding short-range structure in nuclei: an experimental perspective

Arrington,

Fomin,

Schmidt

2022

Preprint

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High-energy electron scattering is a clean and precise probe for measurements of hadronic and nuclear structure, with a key role in understanding the role of high-momentum nucleons (and quarks) in nuclei. Jefferson Lab has dramatically expanded our understanding of the high-momentum nucleons generated by short-range correlations, providing sufficient insight to model much of their impact on nuclear structure in neutron stars, and in low-to medium-energy scattering observables including neutrino oscillation measurements. These short-range correlations also appear to be related to the modification of the quark distributions in nuclei, and efforts to improve our understanding of the internal structure of these short-distance and high-momentum configurations in nuclei will provide important input on a wide range of high-energy observables.

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Section: Impact Of Srcs On Other Fields Of Physicsmentioning

confidence: 99%

Progress in understanding short-range structure in nuclei: an experimental perspective

Arrington,

Fomin,

Schmidt

2022

Preprint

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“…Our results are an important step which will directly allow us to perform a full ab-initio calculation of dynamical response functions in many-body systems. In particular, they pave the way to extend the LIT-CC calculations [18][19][20] to compute observables for which the inversion procedure may be numerically unstable. The approach presented in this work can also be beneficial as an extension of KPM in applications using Tensor Networks [47,48] and the new error bounds on the histogram discretization will provide additional guidance for the design of quantum algorithms for the estimation of the spectral density [39,43],…”

Section: Discussionmentioning

confidence: 99%

“…The choice of integral kernel is typically dictated by the possibility of evaluating the ensuing integral transform with a powerful many-body technique. Two of the most popular examples are the Lorentz Integral Transform (LIT) widely used in conjunction with diagonalization techniques [16,17] and, more recently, with the coupled cluster method (LIT-CC) [18][19][20] and the Laplace transform applied with Monte Carlo methods thanks to its relationship with imaginary-time correlation functions [21][22][23]. A crucial component of these approaches consists in inverting the integral transform, a process that for the Laplace transform can be seen as analytical continuation from imaginary-time to the real time axis [24].…”

Section: Introductionmentioning

confidence: 99%

Spectral density reconstruction with Chebyshev polynomials

Sobczyk,

Roggero

2021

Preprint

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Accurate calculations of the spectral density in a strongly correlated quantum many-body system are of fundamental importance to study its dynamics in the linear response regime. Typical examples are the calculation of inclusive and semi-exclusive scattering cross sections in atomic nuclei and transport properties of nuclear and neutron star matter. Integral transform techniques play an important role in accessing the spectral density in a variety of nuclear systems. However, their accuracy is in practice limited by the need to perform a numerical inversion which is often ill-conditioned. In the present work we extend a recently proposed quantum algorithm which circumvents this problem. We show how to perform controllable reconstructions of the spectral density over a finite energy resolution with rigorous error estimates. An appropriate expansion in Chebyshev polynomials allows for efficient simulations also on classical computers. We apply our idea to reconstruct a simple model -response function as a proof of principle. This paves the way for future applications in nuclear and condensed matter physics.

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“…Here n(p) represents the proton momentum distribution calculated from coupled-cluster theory using the NNLO sat interaction, where CoM corrections are found to be negligible [48]. Unlike the LIT-CC results, the PWIA curves shown in Fig.…”

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confidence: 93%

Ab initio computation of the longitudinal response function in $^{40}$Ca

Sobczyk,

Acharya,

Bacca

et al. 2021

Preprint

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We present a consistent ab initio computation of the longitudinal response function RL in 40 Ca using the coupled-cluster and Lorentz integral transform methods starting from chiral nucleonnucleon and three-nucleon interactions. We validate our approach by comparing our results for RL in 4 He and the Coulomb sum rule in 40 Ca against experimental data and other calculations. For RL in 40 Ca we obtain a very good agreement with experiment in the quasi-elastic peak up to intermediate momentum transfers, and we find that final state interactions are essential for an accurate description of the data. This work presents a milestone towards ab initio computations of neutrino-nucleus cross sections relevant for experimental long-baseline neutrino programs.

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Ab Initio Computation of the Longitudinal Response Function in Ca40

Cited by 21 publications

References 46 publications

Progress in understanding short-range structure in nuclei: an experimental perspective

Progress in understanding short-range structure in nuclei: an experimental perspective

Spectral density reconstruction with Chebyshev polynomials

Ab initio computation of the longitudinal response function in $^{40}$Ca

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