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Theoretical Study of the 4 He(γ,n) 3 He and 4 He(γ,p) 3 H reactions 12.09.2013 The 22 nd European Conference on Few-Body Problems in Physics Krakow Nir.

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Presentation on theme: "Theoretical Study of the 4 He(γ,n) 3 He and 4 He(γ,p) 3 H reactions 12.09.2013 The 22 nd European Conference on Few-Body Problems in Physics Krakow Nir."— Presentation transcript:

1 Theoretical Study of the 4 He(γ,n) 3 He and 4 He(γ,p) 3 H reactions 12.09.2013 The 22 nd European Conference on Few-Body Problems in Physics Krakow Nir Nevo Dinur, W. Liedemann and N. Barnea Hebrew University, Jerusalem, Israel

2 Outline Introduction Motivation Methods Results Summary 12/09/20132Ab-initio Exclusive 4He photodisintegration

3 Nuclear Ab initio Calculation Ab initio - treat the dynamics of all D.o.F Nuclear physics: A = no. of nucleons D.o.F - spatial, spin, isospin State-of-the-art nuclear force models limited to small no. of particles Current few-body methods enable A ≤ 12 (4) 12/09/20133Ab-initio Exclusive 4He photodisintegration

4 Why Inelastic Reactions? 1.Calculate accurately inaccessible observables for: Astrophysics; Supernovae; Unstable isotopes; Fusion reactions; etc. 2.Provide a laboratory for Testing the Nuclear Force Models Why (EM) reactions? 12/09/20134Ab-initio Exclusive 4He photodisintegration

5 EM probe the nuclear system structure dynamics QED 4 He Test NN+3NF in 4-body system Mimics heavy nuclei (nuclear matter) J π = 0 + 4 He photodisintegration (and electron scattering) EM reactions: 4 He photodisintegration 12/09/20135Ab-initio Exclusive 4He photodisintegration

6 Theoretical & experimental status 12/09/20136Ab-initio Exclusive 4He photodisintegration n + 3 He p + 3 H R. Raut et al., PRL 108, 042502 (2012)W. Tornow et al., Phys. Rev. C 85, 061001(R) (2012) Theory: New Calculation with AV8’ using MRM/CSM does not coincide with the realistic inclusive CS W. Horiuchi et al., Phys. Rev. C 85, 054002 (2012)

7 Hints from inclusive CS χEFT (NCSM) agree with AV18+UIX (LIT) Theory vs. experiments: 2007 good, 2012 not? 12/09/20137Ab-initio Exclusive 4He photodisintegration

8 Hints from inclusive CS MT overestimates the peak 10 − 15% and strongly underestimates tail 3NF leads to a 5-6% peak damping and 35% tail enhancement 12/09/20138Ab-initio Exclusive 4He photodisintegration

9 12/09/20139Ab-initio Exclusive 4He photodisintegration Methods

10 Few-Body Method Hyperspherical Harmonics N = A-1 Jacobi vectors Hyper-radius + (3N-1) angles HH O N S A K N L N λ Γ A (Perm. Symm. irrep.) Effective Interaction (EIHH) Improved convergence 12/09/201310Ab-initio Exclusive 4He photodisintegration N. Barnea and A. Novoselsky, Ann. Phys. 256, 192 (1997) N. Barnea et al., Phys. Rev. C 61, 054001 (2000)

11 12/09/2013Ab-initio Exclusive 4He photodisintegration11

12 Calculating Reactions – Problem 1 Continuum wave function – conflicting asymptotic 4He A=3 – Faddeev 3 coupled equations A=4 – FY 18 coupled equations A>4 – No ab initio calculation above 3-body threshold 12/09/201312Ab-initio Exclusive 4He photodisintegration 3 H+p 3 He+n 2 H+p+np+n+p+n

13 Calculating Reactions – Problem 2 Two fragments: Rel. motion is a plane wave / Coulomb function Three fragments: no analytic solution! numerical - very complicated! 12/09/201313Ab-initio Exclusive 4He photodisintegration

14 Calculating Reactions – Solution The LIT method 12/09/201314Ab-initio Exclusive 4He photodisintegration V. Efros, W. Leidemann, and G.Orlandini, PLB 238, 130 (1994) V. Efros, W. Leidemann, G.Orlandini and N. Barnea, JPG 34, R459 (2007) No solution for the homogeneous equation Local boundary condition

15 The LIT Equations Inclusive: Exclusive: Hadron scattering: Invert the LIT – solve an integral equation: 12/09/201315Ab-initio Exclusive 4He photodisintegration Exclusive: A. La Piana and W. Leidemann, Nucl. Phys. A 677, 423 (2000)

16 Exclusive Reactions – Born & FSI – Antisymmetrized asymptotic function 12/09/201316Ab-initio Exclusive 4He photodisintegration

17 Exclusive Reactions – Born & FSI 12/09/201317Ab-initio Exclusive 4He photodisintegration S. Quaglioni et al., Phys. Rev. C 69, 044002 (2004) …... Born ___ Born+FSI

18 12/09/201318Ab-initio Exclusive 4He photodisintegration Results

19 Results with MTI-III + Coulomb 12/09/201319Ab-initio Exclusive 4He photodisintegration Few-body Method Mechanism for specific problem Nuclear Model SolutionConverged? Stability Accuracy Independent Tests Compare with Experiment

20 Results with MTI-III + Coulomb 12/09/201320Ab-initio Exclusive 4He photodisintegration Few-body Method Mechanism for specific problem Nuclear Model SolutionConverged? Stability Accuracy Independent Tests Compare with Experiment

21 Results with MTI-III + Coulomb 12/09/201321Ab-initio Exclusive 4He photodisintegration Few-body Method Mechanism for specific problem Nuclear Model SolutionConverged? Stability Accuracy Independent Tests Compare with Experiment

22 Results With AV18+UIX 12/09/201322Ab-initio Exclusive 4He photodisintegration

23 Results With AV18+UIX 12/09/201323Ab-initio Exclusive 4He photodisintegration

24 Results With AV18+UIX 12/09/201324Ab-initio Exclusive 4He photodisintegration

25 Results With AV18+UIX 12/09/201325Ab-initio Exclusive 4He photodisintegration

26 Results With AV18+UIX 12/09/201326Ab-initio Exclusive 4He photodisintegration

27 Summary Inelastic reactions, e.g. 4 He photodisintegration are of interest, but are hard to calculate Require realistic forces, which complicate the calculation Our tool, based on exclusive LIT, enables: ab initio calculation of reactions (even beyond 3-body breakup) including state-of-the-art NN + 3N forces isospin symmetry breaking Preliminary results indicate: 3NF effect is in the FSI ISB effect: CS(p) > CS(n) – opposite than latest experiment suggests Tensor force is important 12/09/201327Ab-initio Exclusive 4He photodisintegration

28 Results With AV18+UIX 12/09/201328Ab-initio Exclusive 4He photodisintegration

29 Results With AV18+UIX 12/09/201329Ab-initio Exclusive 4He photodisintegration

30 Results With AV18+UIX 12/09/201330Ab-initio Exclusive 4He photodisintegration

31 Results With AV18+UIX 12/09/201331Ab-initio Exclusive 4He photodisintegration

32 Results With AV18+UIX 12/09/201332Ab-initio Exclusive 4He photodisintegration

33 Exclusive LIT Equations (FSI) 12/09/201333Ab-initio Exclusive 4He photodisintegration

34 Nuclear Force Models 1.Simple KMT(I-III) – Malfliet Tjon 2.Phenomenological Argonne V18 + Urbana IX 3NF + EM int. (ISB) → Simplified: AV8` + UIX` 3NF (ISC) 3.EFT-χPT N 3 LO (+ N 2 LO Three-Body Force) 12/09/201334Ab-initio Exclusive 4He photodisintegration

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