Testing Λ (1405) with K-mesic atoms

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Wycech, Meson- 2010 Testing Λ(1405) with K- mesic atoms S.Wycech IPJ, Warsaw The purpose Λ(1405) is the dorway and the mechanism to bind the „K-mesic nuclei”
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Testing Λ (1405) with K-mesic atoms. S.Wycech IPJ, Warsaw The purpose Λ (1405) is the dorway and the mechanism to bind the „K-mesic nuclei”. Two approaches to Λ (1405). Phenomenology K – matrix fitted to data + dispersion relations Extrapolation below KN , E ~ 1405 MeV - PowerPoint PPT Presentation

Transcript of Testing Λ (1405) with K-mesic atoms

  • 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- 2010

  • 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- 2010

  • Experimental check K N below threshold in final states not conclusive

    provides amplitude a(K N,) no a(K N,KN)

    Wycech, Meson- 2010

  • Wycech, Meson- 2010

  • Two new (?) suggestions to extract KN amplitudes from

    Upper atomic levels 2) Atomic nuclear radiative transitions

    Wycech, Meson- 2010

  • upper levels

    s p d . n= 3 n= 2 upper n= 1 lower

    Wycech, Meson- 2010

  • 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 )

    5 - 25 % accurate in upper levels impulse approx. not valid in lower levels

    Wycech, Meson- 2010

  • Nucleon levels seen in atoms V(r) radial distance

    lower upper levels

    Wycech, Meson- 2010

  • Parallel case, antiprotonic atoms Nuclear regions studied in atomic levels lower upper cold capture

    (r)

    Wycech, Meson- 2010

  • P-bar N subthreshold energies involved in p-bar atoms

    -40 -20 0 MeV

    P

    D

    T He 4

    Wycech, Meson- 2010

  • Im a(E) extracted from light antiprotonic atoms - PS 207 data

    Paris model

    Wycech, Meson- 2010

  • Im aKN(E) extracted from upper widths

    Wycech, Meson- 2010

  • Im a(KN) extracted from upper widths

    Wycech, Meson- 2010

  • 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- 2010

  • K-neutron dominated widths Upper widths due mostly to Kn , S + P wave Pb Im a (K n)

    Apparently dominated by (1385)

    Wycech, Meson- 2010

  • Another possibility to study sub-threshold elastic KN or K-nucleus amplitude

    Wycech, Meson- 2010

  • K-hydrogen (1405 ) + Kaons lost in cascade Kaonic Hydrogen ~ 95% lostHow many go to (1405 ) + ?

    Wycech, Meson- 2010

  • 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- 2010

  • High energy photons from K- p atom

    Wycech, Meson- 2010

  • Gamma rays to (1405)5 10-3 of captures from ( n P) levels

    s p d n= 3 n= 2 n= 1

    (1405)

    Wycech, Meson- 2010

  • 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 ~ 0.001-0.0001per stopped kaon

    Wycech, Meson- 2010

  • 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- 2010

  • Line shape = dk S(k)

    S(k) = Im TKN,KN (Eok) k GKN(k)

    Wycech, Meson- 2010

  • LINE SHAPE resonancepropagatorphase space

    T

    GKN

    p K-

    Wycech, Meson- 2010

  • Summary Upper widths in K atoms may determine Im TKN,KN (M K + MN E ) for E = 0 - 40 MeV

    K -Atom K-Nuclear + may give elastic Im TKNUCLEUS(M K + MN E )

    Experiments are difficult

    Wycech, Meson- 2010

  • Wycech, Meson- 2010

  • 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

    Wycech, Meson- 2010