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Three-nucleon interaction dynamics studied via the deuteron-proton breakup PowerPoint Presentation

Three-nucleon interaction dynamics studied via the deuteron-proton breakup

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### Three-nucleon interaction dynamics studied via the deuteron-proton breakup

Elżbieta Stephan

Institute of Physics, University of Silesia

Studies deuteron-proton breakup ofthe1H(d,pp)nBreakup

University of Silesia, Katowice, Poland

PhDtheses: A. Micherdzińska, A. Biegun

Jagiellonian University, Kraków, Poland

PhDtheses: R.Sworst, I. Ciepał

KVI, Groningen, TheNetherlands

Institute of NuclearPhysics PAN, Kraków, Poland

ForschungszentrumJuelich, Germany

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVMotivation

- Faddeev framework provides exact treatment for the 3N system
- Various approaches to construct the interaction (2N and 3N):
- Realistic potentials + phenomenological 3NF models
- Chiral Perturbation Theory
- Coupled-Channels formalism with explicit Δ

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVMotivation

- Three-nucleon system is the simplest non-trivial environment to test predictions of the NN and 3N potential models
- Elastic scattering data demonstrate both success and problems of modern calculations
- Very few breakup data at medium energies (earlier PSI experiments provided only 14 kinematical configurations)
- In order to reach meaningfulconclusions about the interaction models needed experimental coverage of large phase space regions

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurementsat 130 and 100 MeVDetection systems at KVI

SALAD

BINA

- Wall - verysimilar to SALAD
- Ball - system of phoswitchdetectors
- angularacceptance: nearly 4π

- 140 ΔE-E telescopes
- 3 plane MWPC
- angularacceptance:
- θ= (12º, 38º), φ = (0º, 360º)

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVCross Section Results – Summary

- Nearly 1800 cross section data points
- θ1, θ2 = 15o – 30o; grid5o ; Δθ = ±1o
- an additional set forθ1, θ2 = 13o
- φ12 = 40o – 180o; grid 10o-20o ; Δφ = ±5o
- S [MeV] = 40 – 160; grid 4; ΔS = ±2
- Statistical accuracy 0.01 – 0.05
- Data very clean – accidentals below 2%
- Systematic errors – 3% – 5%

- Global comparisons with theory (χ2 testfor all points,χ2 = f(φ12), χ2 = f(Erel), tests of normalization)

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVCross Section Results – Example

Coupled channels calculations

CD Bonn (modif.) + Δ

EFT/ChPT calculations

NNLO – 2N only

NNLO – 2N + 3 N

Faddeev calculations

Realistic NN potentials:(CD Bonn, NijmI, NijmII, Av18)

3NF model: TM99, UIX

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeV

Cross Section Results – Exploring Phase Space

Relative χ2 as a fun-ction of the relative azimuthal angle φ12 between the two proton trajectories

For large Erel3NF’s improve description of the data when combined with the NN potentials

In general:

Including 3NF’s reduces global χ2 by about 30%

[Phys. Rev. C 72 (2005) 044006]

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVCross Section Results – Discrepancies

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVCross Section Results – Discrepancies Cured

Coupled Channel

calculations

Coupled Channel

calculations with

Coulomb effects

Predictions with Coulomb reproduce data much better !

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeV Discrepancies at low Erel cured

Coupled Channel

calculations

Elżbieta Stephan, University of Silesia, MESON 2010

[email protected] deuteron-proton breakup

Ed = 130 MeV

Very forward-angle region

θ = 5º - 15º

1H(d,pp)n Measurement at 130 MeVCoulomb effects – dedicated experimentP R E L I M I N A R Y

Averaging important !

Comparison

● KVI ; ● FZJ

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVVector and Tensor Analyzing Powers

- A few times more additional data points (supplementing cross sections)
- Potentially stronger sensitivity to small ingredients(sums of interfering amplitudes)
- Small Coulomb effects - it can be easier to trace 3NF

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVAnalyzing Power Results – Summary

- Vector (Ax, Ay) and tensor analyzingpowers (Axx, Ayy, Axy) determinedinthelarge part of thephasespace
- Nearly 800 data points per observable
- θ1, θ2 = 15o – 30o; grid 5o ; Δθ =±2o
- φ12 = 40o – 180o; grid 20o ; Δφ =±10o
- S [MeV] = 40 – 160; grid 4; ΔS = ±4
- Statisticalaccuracy 0.01 – 0.05
- Systematicerrors – analysis under way

- Global comparisonswiththeory (χ2 test)

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVVector Analyzing Power Results

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVTensor Analyzing Power Results

Problem with TM99!

Elżbieta Stephan, University of Silesia, MESON 2010

1 deuteron-proton breakup H(d,pp)n Measurement at 130 MeVTensor Analyzing Power Results

problem atlowenergies of relativemotion of pppair

Elżbieta Stephan, University of Silesia, MESON 2010

Tensor deuteron-proton breakup Analyzing Power Resultsconfigurationswithpredictedstrong 3NF effects

100 MeV

Elżbieta Stephan, University of Silesia, MESON 2010

θ deuteron-proton breakup 1=28º, θ2=24º

Measurements of 2H(p,pp)n with BINA Cross sectionsEp = 135 MeV

= 14º - 30º

Relativistic

effects !

M. Eslami-Kalantari et al.

P deuteron-proton breakup

P

Measurements of 2H(p,pp)n with BINA Vector (proton) analyzingpowers190 MeV, H. Mardanpour et al.

135 MeV, M. Eslami-Kalantari et al.

Elżbieta Stephan, University of Silesia, MESON 2010

Investigations deuteron-proton breakup of 3N continuumSummary

- Rich set of high precision cross sections and analyzing powers data:
- Data atEd = 130 MeV(SALAD) supplemented with results for forward proton angles ([email protected])
- Complete set for Ed = 100 MeV (BINA)
- Measurements for pd systems at190 and 135 MeV (BINA)

- Developments in theoretical calculations for 3N system
- 3N force, Coulomb interaction, relativistic effects, higher order in ChPT…

Elżbieta Stephan, University of Silesia, MESON 2010

Conclusions deuteron-proton breakup :

- Significant3NF effectsobservedindpbreakup cross sectionat130 MeV
- For thisobservable, foundlargeinfluence of Coulomb force, especiallyatlow energy of relativemotionof twoprotons
- Vector (deuteron) analyzingpowersat130 and 100 MeVrevealverylowsensitivity to 3NF and Coulomb interaction
- Tensor analyzingpowers:
- at130MeVsensitiveto 3NF, but...currentmodels of 3NF do not provideprecisedescriptionof Axy –problemswith spin
part of 3NF?

- at100MeV much less sensitive to 3NF

- at130MeVsensitiveto 3NF, but...currentmodels of 3NF do not provideprecisedescriptionof Axy –problemswith spin
- Relativisticeffectsconfirmedinpdbreakup cross sectionat190 and 135 MeV
- Strong3NF effectspredictedinpdbreakupvectoranalyzingpowersat190 and 135 MeV - not confirmed by the data

Elżbieta Stephan, University of Silesia, MESON 2010

Thank you for your attention! deuteron-proton breakup

Elżbieta Stephan, University of Silesia, MESON 2010

Kinema deuteron-proton breakup tics of breakupreaction

- Threenukleonsinfinal state - 9variables
- Conservation of energy and momentum– 4 equations
- Five independent kinematicalvariables
- Exclusiveexperiment– measurement of ≥ 5parameters
- Inclusive experiment– measurement of≤ 4 parameters

Arc-lengthS

1H(d,pp)n

protons:

θ1,φ1,E1

θ2,φ2,E2

Elżbieta Stephan, ZFJiJZ

Elżbieta Stephan, ZFJiJZ deuteron-proton breakup

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