Extraction of baryonia from light antiprotonic atoms

1. Extraction of baryonia from light antiprotonic atoms S. Wycech, NCBJ , Warsaw

2. Content 1) Difficulties in understanding of antiprotonic atoms radiochemical studies of p absorption in nuclei 2)Baryonia: Paris potential vs atomic data 3) Extension to Kaonic atoms

3. testing nuclear nuclei with antiprotonic atomic shifts and pbar captures in flight capture lower level ρ upper level cold capture

4. Several experiments have to be performed simultaneously Absorption rates Γ, level widths ( shifts) to measure For nuclear physics studies Input : ψ = state of capture Rn/p = pbar-n capture / pbar -p capture Ps = final state interaction of pions output neutron haloes ρn To test subtreshold Interaction pbar - N nucleons atoms : ρ,ψ known , P=1 measure level shifts, widths in low overlap states output Im t , Re t

5. Uncertainties / puzzles in LEAR data atomic levels cold capture = pions out, nucleus not excited PS 203

6. Atomic „anomaly”

7. Radiochemical measurements of residual nuclei after p-bar absorption PS203 neutrondensity /proton density 20 measurements ↓ ↓ ↓ Lower level , Upper level , cold capture 96 Zr 1.61(6) 1.91(6) 2.6(3) 116 Cd 2.60(35) 3.33(37) 5.6(5) 124Sn 3.09(7) 3.43(25) 5.4(7) ANOMALIES ( 4 cases) ======================================== 106 Cd 1.65(80) 5.13(80) 0.5(1) proton halo not acceptable by nuclear models Large differences of neutron and proton separation energies

8. Neutron halo looks like proton halo neutron proton Interaction strength binding energies comparable different bindings simulate proton halo -15 -5 MeV

9. Guidelines : Paris N-Nbar potential model 2009: 4000 dataM. Lacombe, B. Loiseau, S.W. …C79(09)054001 Model dependence is sizeable

10. Antiprotonic atom data widths and level shifts Hydrogen 1s , 2p CERN -PS- 207 fine structure Deuteron 1s, 2p CERN -PS- 207 3He , 4He 2p, 3d M.Schneider Calculation with length aS , aP 18 data on spin averaged levels

11. Upper level shift and width Small overlap Γ, ε < 100 eV ε-iΓ/2 = 2π/μ ʃdr φψ(r )[ a0(E) + 3a1(E) ∂∂ } φψ(r) φnucleon wave functions ψ atomic wave function Energy dependent amplitudes : Spin averaged S,P waves Higher order terms ~5%

12. pbar Ncenter of mass subthreshold energies in antiprotonic atoms -40 -20 0 MeV • P • D T E=-Binding -Recoil He 4

13. Extraction of subthreshold N-pbar interactions p interactions with bound nucleons f( - EB – ERECOIL ) - 33 -15 -7 - 0 MeV 4He 3He 2H H Quasi free amplitudes ONLY UPPER LEVELS

14. 2P level shifts

16. Checking for baryonia Paris potentials 1999 and 2009 -15 MeV -5 MeV Testing light antiprotonic atoms

17. Proper position of 33P1 quasi-bound state Paris potentials 1999 and 2009 -15 MeV -5 MeV removes cold capture and upper level anomalies

18. Problems are understood we have a good handle of subthreshold amplitudealso spin structure Paris N-Nbar potential requires refinement to generate precisely 1S0 and 33P1 quasibound states

19. Kaonic atoms

20. Advantages of Kaonic upper levels small K NN „contamination” Direct acces to KN amplitudes Possibility to manipulate neutron versus proton valence

21. Kaonic level shifts SIDDHARTA Hydrogen 1s , Deuteron 1s, 3He 2p Δ = -2 (+/- 2 +/- 4) 4He 2p, Δ = 5 (+/- 3 +/- 4) Due mainly to scattering length a0Λ(1405) volumes a1 Σ(1385)

22. Scattering amplitudes Λ(1405)Σ (1385) -33 -17 E (MeV) 4He 3He repulsion attraction

23. Scattering amplitudes Λ(1405)Σ (1385) -33 -17 E (MeV) 8 Be 6,7 Li repulsion attraction

24. Magnified (still small ) overlap Expected shifts 6Li 2p ~ - 40 eV 7Li 2p 8 B 2p ~ 150 eV 3 d states to consider

25. Conclusion Disrespected upper levels may be interesting if one can measure atomic level shifts

26. Thank you

28. BES: X(1869) X(2170)

29. Potential in 11S Paris Paris,Bonn, Paris,K-W, D-R, B-P potentials To discern – go under threshold

31. Below threshold X(1835) is an interference of „extended „ bound statePARIS POTENTIAL INTERPTETATION

32. 1S amplitude below threshold broad state , strong Γ(E) dependence oooooooooo ATOMIC REGION