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Extraction of KN amplitudes

Extraction of KN amplitudes

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Extraction of KN amplitudes

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  1. Extraction of KN amplitudes Update of old experiments • Upper atomic levels 2) Atomic  nuclear radiative transitions • ( K - , π) on 4He Wycech, Leannis , April- 2010

  2. Upper levels „do not fit „ E. Friedman , A.Gal Im a= 0.37 fm upper levels Im a= 0.94 fm lower levels Г ~ Im a (KN, E = - EBINDING - ERECOIL ) • to 5 - 25 % precision in upper levels • not true in lower levels - many nucleon levels, multiple scattering „many body effects” Favorite situation for studying Г(upper) - one nucleon orbital perfect P,D,He, very good Li, Be, C, N,O, resonable in almost all atoms Wycech, Leannis , April- 2010

  3. Nucleon levels in a nucleus V(r) radial distance lower upper levels Wycech, Leannis , April- 2010

  4. KNsubthreshold energies involved in K-baratoms -40 -20 0 MeV • P • D T He 4 Wycech, Leannis , April- 2010

  5. Im a(KN) extracted from upper widths Wycech, Leannis , April- 2010

  6. Wycech, Leannis , April- 2010

  7. K-neutron dominated widths Upper widths due mostly to Kn , S + P wave Wycech, Leannis , April- 2010

  8. Upper levels –suggestions Interesting measurements • He (2p ) • Be , C , repetition • Sn 112,116,118,124 – different proton bindings Pb 208 Kn parameters in addition to D Wycech, Leannis , April- 2010

  9. Kaon lost in cascade Kaonic Hydrogen ~ 95% lost How many go to Λ(1405 ) electric / magnetic photons Kaonic Helium ~ 90 % lost Wycech, Leannis , April- 2010

  10. Gamma rays to Λ(1405)0.5 10-3 of n P level capture – calc S.W. 3s, p, d 2s, p 1s Λ(1405) Wycech, Leannis , April- 2010

  11. Old Triumph experiment K – p  Σγ Found on the level of 1/1000 Ingenious background elimination K – p  Λ(1405)γ ? Wycech, Leannis , April- 2010

  12. D.A.Whitehouse ..PRL.63(89)1352; K.D.Larsen.. Phys.Rev D47(93)799D. Horvath Wycech, Leannis , April- 2010

  13. Reaching deeply bound states in few nucleon systems • Via photon radiation from atoms at most 1/2000 in Hydrogen in He may be sizable but estimates are not reliable . (2) Via pion emission Wycech, Leannis , April- 2010

  14. K + He  π + {KNNNN} • Low momentum transfer K π Σ He {KNNNN} Wycech, Leannis , April- 2010

  15. Threshold if M(Λ(1405) ) ~ 1410, if DISTO , FINUDA Binding energies Kpp Kppn Kppnn EB : 70-110 100-150 150-180 Threshold K + He  π + {KNNNN} EB {ppnnK-} = EB {ppnnKo} ~ 165 MeV Wycech, Leannis , April- 2010

  16. Estimate of ( K - , π -,) cross-sections ( K - , π 0) EK ~ 16 MeV T(K- p Σπ) ~ 1 fm Nonmesic decay {Kppnn} Г~ 10- 30 MeV ( Yamazaki+ Akaishi, S.W. ) σ ~ 1 milibarn large The alternative wrong estimate or has been seen already Wycech, Leannis , April- 2010

  17. Old data , helium chamber Roosen N.Cim 49A,217(1979) Wycech, Leannis , April- 2010

  18. K + He  π + {KNNNN} • Seems worthy of research Wycech, Leannis , April- 2010