Wycech, Meson- 2010 Testing Λ(1405) with K-mesic atoms S.Wycech IPJ, Warsaw The purpose Λ(1405) is...

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Wycech, Meson Experimental check K N  Σ π below threshold in final states not conclusive provides amplitude a(K N, Σ π) no a(K N,KN)

Transcript of Wycech, Meson- 2010 Testing Λ(1405) with K-mesic atoms S.Wycech IPJ, Warsaw The purpose Λ(1405) is...

Wycech, Meson Testing (1405) with K-mesic atoms S.Wycech IPJ, Warsaw The purpose (1405) is the dorway and the mechanism to bind the K-mesic nuclei Wycech, Meson Two approaches to (1405) Phenomenology K matrix fitted to data + dispersion relations Extrapolation below KN, E ~ 1405 MeV PDG, R.Dalitz, A.Martin.. many others since 1970 Chiral models SU(3) symmetric driving force, pole in , pole in KN plane, E ~ 1420 MeV W.Weise, E.Oset.. others since 2000 Wycech, Meson Experimental check K N below threshold in final states not conclusive provides amplitude a(K N, ) no a(K N,KN) Wycech, Meson- 2010 Two new (?) suggestions to extract KN amplitudes from 1)Upper atomic levels 2) Atomic nuclear radiative transitions Wycech, Meson upper levels s p d . n= 3 n= 2 upper n= 1 lower Wycech, Meson Upper levels do not fit E. Friedman, A.Gal Im a= 0.37 fm upper levels Im a= 0.94 fm lower levels ~ Im a (KN, E = - EBINDING - ERECOIL ) % accurate in upper levels impulse approx. not valid in lower levels Wycech, Meson Nucleon levels seen in atoms V(r) radial distance lower upper levels Wycech, Meson Parallel case, antiprotonic atoms Nuclear regions studied in atomic levels lower upper cold capture (r) Wycech, Meson P-bar N subthreshold energies involved in p-bar atoms MeV P D T He 4 Wycech, Meson Im a(E) extracted from light antiprotonic atoms - PS 207 data Paris model Wycech, Meson Im a KN (E) extracted from upper widths Wycech, Meson Im a(KN) extracted from upper widths Wycech, Meson Favorite situation for studying (upper): one or few nucleon orbitals perfect P,D,He, very good Li, Be, C, N,O, resonable in almost all atoms Wycech, Meson K-neutron dominated widths Upper widths due mostly to Kn, S + P wave Pb Im a (K n) Apparently dominated by (1385) Wycech, Meson Another possibility to study sub-threshold elastic KN or K-nucleus amplitude Wycech, Meson K-hydrogen (1405 ) + Kaons lost in cascade Kaonic Hydrogen ~ 95% lost How many go to (1405 ) + ? Wycech, Meson Old BNL experiment K p (1190) Found on the level of 1/1000 D.A.Whitehouse..PRL.63(89)1352; K.D.Larsen.. Phys.Rev D47(93)799 K p (1405) Is it feasible ? What is the line shape ? Wycech, Meson High energy photons from K - p atom Wycech, Meson Gamma rays to (1405) of captures from ( n P) levels s p d n= 3 n= 2 n= 1 (1405) Wycech, Meson Occupation and capture from all (n,P) states estimated captures from n P states in gas targets ~ few % of stopped K mesons Total chance for transition ~ per stopped kaon Wycech, Meson Kaonic deuterium atom KNN Deep state ~100 MeV ( FINUDA, DISTO) Very small chance Weakly bound or virtual state ~ 47 MeV P+ (1385) sw Phys. Rev C 79 Good chance Wycech, Meson Line shape = dk S(k) S(k) = Im T KN,KN (E o k) k G KN (k) Wycech, Meson LINE SHAPE resonancepropagatorphase space T G KN p K - Wycech, Meson Summary Upper widths in K atoms may determine Im T KN,KN (M K + M N E ) for E = MeV K -Atom K-Nuclear + may give elastic Im T KNUCLEUS (M K + M N E ) Experiments are difficult Wycech, Meson- 2010 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