The deuteron-radius puzzle is alive: A new analysis of nuclear - - PowerPoint PPT Presentation

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The deuteron-radius puzzle is alive: A new analysis of nuclear - - PowerPoint PPT Presentation

Sep 04, 2023 141 likes •830 views

Presented By: Oscar Javier Hernandez The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties In collaboration with: Andreas Ekstrm Nir Nevo Dinur Chen Ji Sonia Bacca Nir Barnea Phys. Lett. B 778, 377-383,

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In collaboration with: Andreas Ekström Nir Nevo Dinur Chen Ji Sonia Bacca Nir Barnea

The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties

  • Phys. Lett. B 778, 377-383, (2018)

Presented By: Oscar Javier Hernandez

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The growing proton radius puzzle

1

[Chen et al. 2018, commissioned JPG review arXiv:1806.03101]

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There is a discrepancy between eD and μD data

2

[Chen et al. 2018, commissioned JPG review arXiv:1806.03101]

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There is a discrepancy between eD and μD data 5.6 σ

2

[Chen et al. 2018, commissioned JPG review arXiv:1806.03101]

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There is a discrepancy between eD and μD data 3.5σ

2

5.6 σ

[Chen et al. 2018, commissioned JPG review arXiv:1806.03101]

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SLIDE 6

There is a discrepancy between eD and μD data 3.5σ

Parthey, et al., PRL (2010)

2

5.6 σ

[Chen et al. 2018, commissioned JPG review arXiv:1806.03101]

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SLIDE 7

There is a discrepancy between eD and μD data

2.6 σ

3

fm

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There is a discrepancy between eD and μD data

2.6 σ

3 [2014] [2015]

fm

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SLIDE 9

There is a discrepancy between eD and μD data

2.6 σ

3 [2014] [2015] [2016]

fm

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SLIDE 10

There is a discrepancy between eD and μD data

2.6 σ

[Pohl et. al. Science, Vol 353, 6300, 2016]

3 [2014] [2015] [2016]

fm

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SLIDE 11

There is a discrepancy between eD and μD data

2.6 σ

[Pohl et. al. Science, Vol 353, 6300, 2016]

Theoretical TPE is 6 times larger than experimental uncertainty A thorough analysis may shed light on difference and the deuteron puzzle

3 [2014] [2015] [2016]

fm

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The two-photon exchange

Nuclear Nucleonic

μ A

4

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The two-photon exchange

Nuclear Nucleonic

  • C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).
  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

R.J. Hill, G. Paz Phys. Rev. D, 95 (2017)

μ A

4

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The two-photon exchange

Nuclear Nucleonic

  • C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).
  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

R.J. Hill, G. Paz Phys. Rev. D, 95 (2017)

μ A

4

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The two-photon exchange

Nuclear Nucleonic

  • C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).
  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

R.J. Hill, G. Paz Phys. Rev. D, 95 (2017)

μ A

4

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μ A

The evaluation of the nuclear polarizabilty

5

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The evaluation of the nuclear polarizabilty

μ A

5

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μ A

The evaluation of the nuclear polarizabilty

5

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The expansion of the matrix element

Expand the matrix element in terms of scale parameter

6

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The expansion of the matrix element

Expand the matrix element in terms of scale parameter The scale parameter of the expansion is

6

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The expansion of the matrix element

Expand the matrix element in terms of scale parameter The scale parameter of the expansion is Perform a multipole expansion of η , leading term

6

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The expansion of the matrix element

Expand the matrix element in terms of scale parameter The scale parameter of the expansion is Perform a multipole expansion of η , leading term

6

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The expansion of the matrix element

Sub-sub leading terms are given by

7

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The expansion of the matrix element

Sub-sub leading terms are given by

7

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μ A

Finite size corrections

Insertion of form factors into the nuclear vertices

8

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μ A

Finite size corrections

Insertion of form factors into the nuclear vertices

8

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μ A

Additional corrections

Addition of coulomb distortion term

9

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μ A

Additional corrections

Addition of coulomb distortion term

9

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μ A

Additional corrections

Addition of coulomb distortion term Relativistic corrections

9

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Results for μD

10

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Results for μD

10

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

11

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: 11

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: 11

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: 11

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: Single Nucleon: 11

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: Single Nucleon: Higher Order Corrections: 11

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Statistical uncertainties

Propagate uncertainty using standard techniques

12

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Correlation analysis

Serves as a check of the error propagation formalism (N2LOsim)

13

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Correlation analysis

Serves as a check of the error propagation formalism We observe expected correlations between (N2LOsim)

13

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Statistical uncertainties

N2LOsim 14

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Statistical uncertainties

N2LOsim Statistical uncert. Correction % Uncert. Statistical 0.06 14

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Sytematic Tlab uncertainties

N2LOsim Systematic Tlab uncert. Correction % Uncert. Statistical 0.06 Tlab Sys. 0.2 14

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Chiral truncation uncertainties

Expand observable in the same Chiral EFT pattern, LO NLO

...

=

15

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Chiral truncation uncertainties

Expand observable in the same Chiral EFT pattern, Truncation uncertainty can then be calculated according to LO NLO

...

=

15

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Tlab variation Chiral truncation estimate

N2LOsim

Chiral truncation uncertainties

16

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Tlab variation Chiral truncation estimate Estimate momentum scale of TPE

N2LOsim

Chiral truncation uncertainties

16

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Tlab variation Chiral truncation estimate

Correction % Uncert. Chiral Trunc. 0.4

Estimate momentum scale of TPE

N2LOsim

Chiral truncation uncertainties

16

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μ A

17

η-expansion uncertainty

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μ A

η-expansion uncertainty

17

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μ A

[ insert intermediate nuclear states ]

η-expansion uncertainty

17

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μ A

[ insert intermediate nuclear states ]

η-expansion uncertainty

[ leading to the non-relativistic result ]

17

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μ A

[ insert intermediate nuclear states ] Full treatment

η-expansion uncertainty

[ leading to the non-relativistic result ]

17

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η-less expansion: Integrated response functions

18

Longitudinal Transverse

N3LO(EM) N3LO(EM)

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η-less expansion: Results

18 N3LO(EM)

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η-less expansion: Results

18 N3LO(EM)

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η-less expansion: Results

18 N3LO(EM) Correction % Uncert. η Exp. 0.3

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Additional uncertainties

Two body currents + relativistic corr.

Seagull Pion-in-flight

Correction % Uncert. NLO MEC 0.05

  • Rel. Corr.

0.05 19

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Additional uncertainties

Two body currents + relativistic corr.

Seagull Pion-in-flight

Correction % Uncert. NLO MEC 0.05

  • Rel. Corr.

0.05 Nucleon* 0.6 1.2

Single Nucleon Physics

* C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).

  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

R.J. Hill, G. Paz Phys. Rev. D, 95 (2017)

19

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Additional uncertainties

Two body currents + relativistic corr.

Seagull Pion-in-flight

Correction % Uncert. NLO MEC 0.05

  • Rel. Corr.

0.05 Nucleon* 0.6 1.2 Atomic Phys. 1.0

Single Nucleon Physics Atomic Physics uncert.

* C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).

  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

R.J. Hill, G. Paz Phys. Rev. D, 95 (2017)

19

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Uncertainty comparisons

[Pohl et. al. Science] [Krauth et. al.]

20

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Final uncertainty budget meV

+0.008 +0.001 +0.005 +0.0102 +0.172 +0.22 +0.0198 +0.28 21

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Summary

Krauth et. al. [2016] Previous Value [2014,2016]

Krauth et. al

  • Prev. Value

New Values

Experimental

Exp 22

Carlson et. al. [2016]

New Values + 3PE

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Summary

Krauth et. al. [2016] Previous Value [2014,2016]

Krauth et. al

  • Prev. Value

New Values

Experimental

Exp

Carlson et. al. [2016]

New Values + 3PE

New values [2018]

22

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Summary

Krauth et. al. [2016] Previous Value [2014,2016]

Krauth et. al

  • Prev. Value

New Values

Experimental

Exp

Carlson et. al. [2016]

New Values + 3PE [Pachucki et. al 2018]

New values+3PE (Pachucki) [2018]

22

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Outlook

Results: Experimental vs theory difference improved by thorough analysis of nuclear TPE uncertainty. Uncertainty in TPE cannot solve the 5.6 σ discrepancy.

23

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Outlook

Uncertainty Analysis: Etaless Expansion: Reduce atomic physics uncert. Apply formalism to A=3 systems Extend formalism for HFS Results: Experimental vs theory difference improved by thorough analysis of nuclear TPE uncertainty. Uncertainty in TPE cannot solve the 5.6 σ discrepancy.

Correction μH μ3H μ3He μ4He Higher (Zα) 0.7 0.7 1.5 1.5 η Exp. 0.3 0.9 0.3 0.2 23

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Thank you!

Presented By: Oscar Javier Hernandez