SuSA and Mean-Field based models: Summary 2019 Ral Gonzlez Jimnez - - PowerPoint PPT Presentation

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SuSA and Mean-Field based models: Summary 2019 Ral Gonzlez Jimnez - - PowerPoint PPT Presentation

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SuSA and Mean-Field based models: Summary 2019 Ral Gonzlez Jimnez Ral Gonzlez Jimnez Grupo de Fsica Nuclear, IPARCOS, Universidad Complutense de Madrid NuSTEC meeting, December 12, 2019 In collaboration with... SuSA and RMF

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Raúl González Jiménez Raúl González Jiménez

Grupo de Física Nuclear, IPARCOS, Universidad Complutense de Madrid

NuSTEC meeting, December 12, 2019

SuSA and Mean-Field based models: Summary 2019

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In collaboration with...

SuSA and RMF Juan A. Caballero (Sevilla) Guillermo D. Megias (Sevilla/Saclay/Tokyo)

  • Maria. B. Barbaro (Torino)
  • A. De Pace (Torino)
  • T. William Donnelly (MIT)

Martin V. Ivanov (Sofia) Anton Antonov (Sofia) J.E. Amaro (Granada)

  • I. Ruiz-Simo (Granada)

Jose M. Udías (Madrid) SuSA and RMF Juan A. Caballero (Sevilla) Guillermo D. Megias (Sevilla/Saclay/Tokyo)

  • Maria. B. Barbaro (Torino)
  • A. De Pace (Torino)
  • T. William Donnelly (MIT)

Martin V. Ivanov (Sofia) Anton Antonov (Sofia) J.E. Amaro (Granada)

  • I. Ruiz-Simo (Granada)

Jose M. Udías (Madrid) Ghent University Natalie Jachowicz Alexis Nikolakopoulos Nils Van Dessel Kajetan Niewczas (Ghent/Wroclaw) Ghent University Natalie Jachowicz Alexis Nikolakopoulos Nils Van Dessel Kajetan Niewczas (Ghent/Wroclaw) CEA Saclay Stephen Dolan Sara Bolognesi CEA Saclay Stephen Dolan Sara Bolognesi Vishvas Pandey (Virginia Tech) Vishvas Pandey (Virginia Tech)

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Plane waves Distorted waves Inclusive electron scattering at low q:

  • Phys. Rev. C 100 045501 (2019)
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Plane waves Distorted waves Inclusive electron scattering at low q:

  • Phys. Rev. C 100 045501 (2019)
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Plane waves Distorted waves Inclusive electron scattering at low q:

  • Phys. Rev. C 100 045501 (2019)

Orthogonalization

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Plane waves Distorted waves Inclusive electron scattering at low q:

  • Phys. Rev. C 100 045501 (2019)
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Plane waves Distorted waves Inclusive electron scattering at low q:

  • Phys. Rev. C 100 045501 (2019)

When the outgoing nucleon has small momentum its wavelength is comparable to the distance between nucleons: Quantum Mechanics is important !!

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Distortion of the outgoing nucleon (= FSI in a Quantum Mechanical way) Important at intermediate energies too !!!

  • Phys. Rev. C 100 045501 (2019)
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???

ne QE cross section

  • ----------------------------------------- = 1

nm QE cross section

For a given neutrino energy and scattering angle of the final lepton:

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??? ???

ne QE cross section

  • ----------------------------------------- = 1

nm QE cross section ne QE cross section

  • ----------------------------------------- > 1

nm QE cross section

For a given neutrino energy and scattering angle of the final lepton:

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??? ???

ne QE cross section

  • ----------------------------------------- = 1

nm QE cross section ne QE cross section

  • ----------------------------------------- > 1

nm QE cross section ne QE cross section

  • ----------------------------------------- < 1

nm QE cross section

For a given neutrino energy and scattering angle of the final lepton:

???

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SuSAv2 SuSAv2-MEC

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SuSAv2-MEC versus MINERvA nub 0pions

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Full propagator vs real propagator in the delta current.

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The 2p2h response scales very differently from the quasielastic one, in full accord with what is predicted by the model.

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The 2p2h response scales very differently from the quasielastic one, in full accord with what is predicted by the model. QE: MEC:

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Comparison with recent JLab data. Ei = 2222 MeV, qe= 15.541 deg

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The SuSAv2 QE response is very similar to that from a model that solves the wave equation in presence of a real energy-dependent optical potential. The coincidence between these two completely independent approaches, which satisfactorily agree with the inclusive data, reinforces the reliability of our predictions and sets constraints for the modeling of the QE response.

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Carbon Argon Titanium

Recent JLab data. Ei = 2222 MeV qe= 15.541 deg

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What do we need?

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nucleus neutrino muon

X

Inclusive cross section?

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Inclusive cross section?

Many models are good for the inclusive xs (at typical QE kinematics).

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Inclusive cross section?

Many models are good for the inclusive xs (at typical QE kinematics). SuSAv2+MEC is the state of the art among the inclusive models: + Extensively tested against electron and neutrino scattering data: systematically on the data. + Fully relativistic. + Extremely efficient from computational point of view. + For neutrino interactions, it needs to be extended to the DIS region. + Not suppose to work at very low q, but a few things could be done.

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Information about the hadrons? What do we need?

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1 2 nucleus neutrino muon/neutrino nucleus*

Elastic scattering (difficult) Initial State Final State

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1 2 3 nucleus neutrino muon nucleus*

Quasielastic scattering (difficult)

nucleon

Initial State Final State

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1 2 3 nucleus neutrino muon nucleus*

2N knockout (extremely difficult)

nucleon 4 nucleon

Initial State Final State

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1 2 3 4 nucleus neutrino muon nucleus* nucleon pion

Single-pion production (extremely difficult) Initial State Final State

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1 2 3 4 nucleus neutrino muon nucleus* pion

Two-pion production (impossible?)

5 pion nucleon

Initial State Final State

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. . .

1 2 3 nucleus neutrino muon nucleus*

Impossible

N nucleon

Initial State Final State

4 5

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Problem:

We are not able to model with accuracy any of the non-inclusive cross sections.

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Problem:

We are not able to model with accuracy any of the non-inclusive cross sections. One exception: Exclusive A(e,e’p)A-1 in a narrow missing energy window (= one nucleon knock out from the

  • uter shells)
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Exclusive A(e,e’p)A-1 in a narrow missing energy window (outer shells)

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Conclusions and Outlook:

+ Modeling all reaction channels with high precision is (and will be) impossible. + Actually, we can describe very well only one channel: QE scattering with only one nucleon in the final state and small missing energy left in the residual nucleus, Em<20 MeV. ++ For such events, the neutrino energy could be reconstructed with few percent accuracy. (Van Orden and Donnelly, arXiv:1908.00932) + We are working on this.

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Back up slides

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We have presented a real energy-dependent potential that can be used in a large energy range: + For low energies of the outgoing nucleons it is identical to RMF potential, thus:

  • rthogonality, current conservation and dispersion relations are fulfilled.

+ The phenomenology suggests that for high energies of the outgoing nucleon the potential should become softer. New energy-dependent potential = RMF potential x f(TN)

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Superscaling Approach Scaling phenomenon - definition

It happens when the inclusive cross section can be written as the product

  • f a single-nucleon cross section times a specific function (scaling

function) that depends on only one variable (scaling variable) Most of the models based on IA present scaling at some level. The scaling function incorporates itself all nuclear information.

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Scaling phenomenon

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