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New broad 8 Be resonances from S-matrix poles

New broad 8 Be resonances from S-matrix poles. Philip Page Los Alamos National Laboratory PANIC’05 “Hadrons …” Session 5 Oct 27, 5 pm. Most comprehensive 4 He , 7 Li p, 7 Be n, 6 Li d  4 He , 7 Li p, 7 Be n, 6 Li d Data:11

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New broad 8 Be resonances from S-matrix poles

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  1. New broad 8Be resonances from S-matrix poles Philip Page Los Alamos National Laboratory PANIC’05 “Hadrons …” Session 5 Oct 27, 5 pm

  2. Most comprehensive 4He , 7Li p, 7Be n, 6Li d  4He , 7Li p, 7Be n, 6Li d Data:11 Cross-sections: Total (plotted) Differential Polarization Data > 4700 data points 69 references ~100 parameter fit 2 / d.o.f. = 7.4 Up to EX = 25-26 MeV R-matrix fit to experimental data Thanks to G.M. Hale

  3. Features of R-matrix theory Restrictions Inclusions . • Non-relativistic • Two initial & two final particles • Rigorous • Multichannel & Unitary • Smooth “background’’ processes  infinite # resonances

  4. R real, S complex S-matrix poles

  5. 6Li d 8Be resonances 7Be n 7Li p 4+0 2+0 2+0 0+0 

  6. All J T=0,1 Agree  R-m. > Exp. Thanks G.M.Hale

  7. Partial width Reduced width ampl.

  8. 2+ 0(22) & 2+ 0(23) 2+ 0(22) known Also: Inverse 6Li d

  9. 2+ 0(23) Also: 6Li (d,p) 6Li (d,n)

  10. Conclusions END • 8Be resonance parameters to 26 MeV • T = -0 of J=3 21 MeV determined • Tof 4- & 1- (19) determined • Previous 22 MeV 2+ 0 is two • Extremely broad 2+ 0(16) confirmed • Very broad 4+ 0(18) discovered • 1+ 1(20) discovered

  11. Resonances not found • Narrow • Broad 4He (,) data not available Should be found

  12.  T of J=3 21 MeV determined Exp: 3(+) R-m: 3- 0 Old data

  13. Is extra 2+ state consistent?  6Li (d,) analysis below 1 MeV only found2+ 0(22)Czerski et al.1997 Two 2+ resonances at 21.5 & 22.5 MeVin 7Li (p,p1) & 7Li (p,n1) Presser, Bass 1972  Not in NCSM Caurier, Navratil, Ormand, Vary 2001

  14. Extremely broad 2+ 0(16) confirmed  R-matrix: 4He (,), 9Be (p,d), 8Li,8B @ 9 MeVBarker et al. 1968,69,88,89,2000 R-matrix: 4He (,), 8Li,8B. Not up to 26 MeVWarburton 1986 Energy varies as new data included NCSM: 14-21 MeV GFMC: Not up to 22 MeV ? ? ?

  15. Ex=17.59 MeV  =7.9 MeV NCSM: 20-26 MeV GFMC: Not up to 19 MeV Pieper, Wiringa, Carlson 2004 Very broad 4+0(18) discovered

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