1 / 40

Current theoretical topics on K - pp quasi-bound state

This paper discusses the current theoretical topics on the K-pp quasi-bound state and provides a theoretical interpretation of the J-PARC E15 and E27 experimental results. It covers various aspects such as the missing mass spectrum from the 3He(K-, n)E15 experiment, the behavior of the semi-inclusive neutron spectrum, adiabatic p-p potential in K-pp L*N system, and more.

tcarson
Download Presentation

Current theoretical topics on K - pp quasi-bound state

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MESON2014, Krakow May 31, 2014 Current theoretical topics on K-pp quasi-bound state --- Theoretical interpretation of J-PARC E15 and E27 results --- Yoshinori AKAISHI Sajjad MARRI and Toshimitsu YAMAZAKI RIKEN Nishina Center, Japan

  2. K- + pp K- + 3He MeV MeV K- + p MeV r fm r fm 1 2 3 1 2 3 0 0 r fm 1 2 3 0 -50 -50 L(1405) S+p S+p -50 S+p L+p L+p L+p -200 -200 -200 Shrinkage! -300 -300 -300 N.V. Shevchenko, A. Gal & J. Mares, Phys. Rev. Lett. 98 (2007) 082301 E = -55~-70 MeV, G = 90~110 MeV Y. Ikeda & T. Sato, Phys. Rev. C 76 (2007) 035203 E = -80 MeV, G = 73 MeV A. Dote, T. Hyodo & W. Weise, Phys. Rev. C 79 (2009) 014003 E = -20+-3 MeV, G = 40~70 MeV -400 -400 -400 -500 -500 -500 DAFNE Conf. (1999) Y. Akaishi & T. Yamazaki, Phys. Rev. C 65 (2002) 044005 T. Yamazaki & Y. Akaishi, Phys. Lett. B 535 (2002) 70 "L(1405) Ansatz"

  3. K- n 1.0 GeV/c K- n p p p p On the missing mass spectrum from 3He(K-,n) E15 experiment etc.

  4. Semi-inclusive neutron spectrum

  5. [MeV] BE (Width) E-indep. E=0 E=-100 MeV r [fm] E=-50 MeV E-dep. real part E-dep. imaginary part Theoretical works KH(1): T. Koike & T. Harada, Phys. Lett. B 652 (2007) 262 (2): Phys. Rev. C 80 (2009) 055208 Phase space suppression factor (Mares-Friedman-Gal) for Im Vopt(E) YJNH: J. Yamagata-Sekihara, D. Jido, H. Nagahiro & S. Hirenzaki, Phys. Rev. C 80 (2009) 045204

  6. K- n 1.0 GeV/c K- n p p p p Preliminary E15 behavior 3He (in-flight K-, n) reaction S +p + p L*+ p KH(2) (1) Ours YJNH E(Kpp) MeV react-Kpi/h_Kn_Kpp.f

  7. 1 K- N N 3 2 Euler-Lagrange equation Variational wave function of K-pp ATMS Amalgamation of Two-body correlations into Multiple Scattering process L*p

  8. Free L* KbarN inK-pp I = 0 I = 1 Covalent part Covalent bonding Direct integral Exchange integral K- distribution in K-pp "Snapshot" “Kaonic hydrogen molecule” N-N distance 2.0 fm ~ close to free L*(I =0,K-p)

  9. _ _ p K-pp [MeV] L(1405) DE = -20 DKE = 52 DVNN = -19 -33 DVexc= -53 p p p p L* L* + Covalent bonding [ ] f f + f f v v K K a b b a - - K p K p Exchange integral Heitler-London-Heisenberg picture of K-pp [MeV] Real Kbar migrating superstrong interaction Y. Akaishi, T. Yamazaki, M. Obu and M. Wada, Nucl. Phys. A 835 (2010) 67

  10. R2 V(R) p p p p K- [MeV fm2] Normal nuclear force : virtual meson exchange R [fm] 2.0 1.0 3.0 Super strong / Normal~ 4.1 - volume integral ratio - Super-strong nuclear force : real Kbar migration Adiabatic p-p potential in K-pp

  11. L*N system with meson exchange A. Arai, M. Oka & S. Yasui, Prog. Theor. Phys. 119 (2008) 103 T. Yamazaki & Y. Akaishi, Proc. Japan Academy, B 83 (2007) 144

  12. n K- K- n 1.0 GeV/c n 2002 L* p 1.36 fm p K- n p p p K- p p p p 1.90 fm rms distance 2007 K-pp quasi-bound state

  13. Stopped K- pn= 350 270 0 r = 0.001 0.0022 1 350 270 0 -270 -350 : Fermi motion of n n n "n-knockout window" Y T. Hashimoto 1000 MeV/c - pn 1000 MeV/c K- pnobserved ! p p p = 2812 MeV for pn=0 2552 MeV for pn=1000 MeV/c pn=0 pn=1000 MeV/c pn=1494MeV/c pn=1254MeV/c QF-L 0,-494MeV/c -540,1540MeV/c “n-spectator window”

  14. n K- n L* p L*+ p L*+ p p p S +p + p S +p + p L*p int. L*width + Decay phase volume + "Augersuppression" Missing mass spectrum of L*-p system by Green's function method QF-L* No L* width Green's function with smearing I. Kumagai-Fuse & Y. Akaishi, Prog. Theor. Phys. 92 (1994) 815

  15. pi = pj = 100 MeV/c 150 MeV/c L*+ p 2270 2343 2370 AGS calculation of K-pp quasi-bound state S. Ohnishi, Y. Ikeda, H. Kamano & T. Sato, Phys. Rev. C 88 (2013) 025204

  16. by S. Marri 50 MeV/c 100 MeV/c 150 MeV/c 200 MeV/c L*+ p E(Kpp) MeV 1-particle exchange interaction Isobar propagator

  17. QF-L* Faddeev - AGS QF- K(0.3,1.0) X 1/5 Missing mass spectrum of L*-p system E15@J-PARC K- + p + p L*+ p S +p + p Without L* width With L* width of 50 MeV YA int. DISTO int. No L*p int. MM MeV/c2 react-Kpi/h_Kn_Mod5B.f

  18. Semi-inclusive neutron spectrum T. Hashimoto

  19. Higher mom. p ? Semi-inclusive neutron spectrum Very preliminary !

  20. p+ K+ 1.7 GeV/c n Y, Y* p p On the missing mass spectrum from D(p+,K+) E27 experiment etc.

  21. Inclusive spectrum Y. Ichikawa et al., Proc. Science (Nara Conf. 2013)

  22. L*-p quasi-bound state Missing mass spectrum of L*-p system E27@J-PARC S* S L* MM [MeV/c2]

  23. Decay width Mass distribution QF-S*+ Simulation by Y. Ichikawa No width

  24. Decay width HADES fit Decay width QF-L* Simulation by Y. Ichikawa Mass distribution

  25. SN-LN conversion S. Maeda, Y. Akaishi & T. Yamazaki, Proc. Jpn. Acad. B 89 (2013) 418 "K-pp"= L*-p QBS Missing mass spectrum of L*-p system for E27@J-PARC L*+ p Proton (> 280 MeV/c) coincidence by T. Nagae et al. S +p + p GL*= 50 MeV YA int. GL*= 50 MeV No int. GL*= 50 MeV DISTO int. GL*= 0 No L*p int. MM [MeV/c2]

  26. L*(1420) -1.2 -1.3 -1.4 -1.5 -1.6 -1.7 0 FINUDA PDG 10% 20% enhanced PDG DISTO -50 -100 DISTO FINUDA -150 -200 -250 (FOPI) [MeV] Energies of few-body kaonic systems calculated by Faddeev-Yakubovsky method S. Maeda, Y. Akaishi & T. Yamazaki,Proc. Jpn. Acad. B 89 (2013) 418

  27. K-pp = L*-p with real Kbar migration (17% enhanced int.) Preliminary ! E27@J-PARC Y. Ichikawa et al., Proc. Science (Nara Conf. 2013) DISTO T. Yamazaki et al., Phys. Rev. Lett. 104 (2010) 132502 FINUDA M. Agnello et al., Phys. Rev. Lett. 94 (2005) 212303

  28. K-pp = L*-p with real Kbar migration (17% enhanced int.) Preliminary ! E27@J-PARC Y. Ichikawa et al., Proc. Science (Nara Conf. 2013) K+ K+ p K- K- L* p p p L*- p structure K-pp structure p+ n p

  29. K- p L* Concluding remarks The L*= L(1405) plays an essential role in forming "anti-Kaonic Nuclear Clusters", the simplest one of which is K-pp = (K-p)-p = L*-p. The L*-pstructure interacting with "super-strong force" due to Kbar migration provides a possible explanation of recent J-PARC data on K-pp.

  30. Acknowledgments Y. Ichikawa Thank you very much!

  31. K. Suzuki et al., Phys. Rev. Lett. 92 (2004) 072302 Deeply bound pion Isovector s-wave pN scattering length, b1 [mp-1] T. Yamazaki, S. Hirenzaki, R.S. Hayano & H. Toki, Phys. Rep. 514 (2012) 1 Evidence for partial restoration of chiral symmetry in nuclear medium Quark condensate decreases by ~30% at r0.

  32. Attractive interaction is enhanced; 2.3 2.2 2.1 2.0 Binding energy 1.9 1.8 Potential energy 1.7 Enhancement of physical quantity 1.6 Higher-order effect 1.5 Kinetic energy 1.4 1.3 1.2 (Unit in MeV) 1.1 1.0 1.0 1.1 1.2 1.3 Enhancement of interaction Enhancement effects by stronglyattractive interaction on physical quantities in K-p bound state L1405/rangeKE.f

  33. A huge escape width ! ~ 330 MeV This state should not be referred to as K-pp. S. Maeda - 60.3MeV Nogami missed the ground state. Possible existence of KbarNN bound state K-+ p + p threshold 0 Nogami (1963) -11.5MeV is used. -27.8- i 20.0 MeV -29.9 MeV L* + p threshold - 48.0MeV MeV Yamazaki-Akaishi (2002)

  34. L*N bound state A. Arai, M. Oka & S. Yasui, Prog. Theor. Phys. 119 (2008) 103 T. Uchino, T. Hyodo & M. Oka, Prog. Theor. Phys. Suppl. 186 (2010) 240 S=1

  35. KbarN scattering amplitude I=0 imaginary part (total cross section) L(1405) Minv[MeV/c2] N.V. Shevchenko, Phys. Rev. C 85 (2012) 034001 Weise/amyTm2.f

  36. K- n K- Y p n p p Y p n p p 1000 MeV/c n n n -198 MeV/c 1198 MeV/c K- (Stopped K-) GeV/c "Hard" process of Y formation "Soft" process of Y formation Very small contribution ! n-knockout 1.0 GeV/c 1.0 GeV/c n-spectator Fermi motion 0 a = 0.386 fm-2, s = 0.00286, t = 12 -0.57 0.18D-03

  37. Missing mass spectrum of L*-p system E27@J-PARC MM [MeV/c2]

  38. M. Hassanvand et al., Phys. Rev. C 87 (2013) 055202 14 PDG L(1405) from HADES G. Agakishiev et al.,Phys. Rev. C 87 (2013) 025201

  39. "OT point" >90% V.K. Magas, E. Oset, A. Ramos & H. Toki, Phys. Rev. C 74 (2006) 025206 p L Lp invariant mass from K-pp FINUDA M. Agnello et al., Phys. Rev. Lett. 94 (2005) 212303 K- + p + p

  40. MORT's artificial procedure inevitably produces a peak-like fake structure. T. Yamazaki & Y. Akaishi, Nucl. Phys. A 792 (2007) 229. Angular dependence of K-4He -> L+p+n+n V.K. Magas, E. Oset, A. Ramos & H. Toki, 1.3 A huge spike must appear at OT point! From K- direct capture on pp with FSI 1.0

More Related