1 / 11

Theory issues : Progress report and plans for future

Theory issues : Progress report and plans for future. Coupled 2 meson final states has a light exotic being seen input to Faddeev equations 3 mesons final state interactions the a 1 story realistic description of the 3 p system

hang
Download Presentation

Theory issues : Progress report and plans for future

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. Theory issues : Progress report and plans for future • Coupled 2 meson final states • has a light exotic being seen • input to Faddeev equations • 3 mesons final state interactions • the a1 story • realistic description of the 3p system • Develop next generation MC generators • background processes (Deck, s-channel,..) • More theory • chiral extrapolations • microscopic calculations of exotic • properties (masses, BR’s , … ) • Specification of production • processes, • t,u,s channel exchanges • constraints from unitarity and duality • selection of “simple” processes

  2. O(p2) Topp = (2s-m2p)/2f2 ToKK = 3s/4f2 TopK = s/4f2 Meson-meson rescattering : pp, ph, ph’, p K, … • S=I=0 pp only e2id = 1 + iT = 1+i(To + ToGTo + …) • f0(980) from attraction in KK • Source ? • O(p2) too weak • renormalization • or f0(1300-1400) full (Oller,Oset)

  3. V = • S=I=1 O(p2) + CDD pole (large NC) “pre-existing” state r Exotic zoo : 1400 (ph)  fsi 1600 (ph’)  ? Need 2meson coupled channels 1600 (rp)  ? Need 3p coupled channels

  4. 3 p : The a1 and limitations of the isobar model p-p  p- p- p+p (CERN) : Bump at 1.2 GeV but no phase motion

  5. 1 (p-) F 1 2 (p-) 3 D1 2 3 (p+) f1 ~ c(m2) s,.. r,.. disf(s1,m2) = ir(s1) ds2f(s2,m2)/D2(s2) |fixed s1 F(s1,s2,m2) = f1(s1,m2)/D1(s1) + (12) + • violates 2,3 particle unitarity ! (r, s, ..) s1 s2 Unitarity relation (Aitchison):

  6. K-matrix equations (Ascoli, Wyld) : (ignore the real part from the unitary cut) ds2 Kij (s1,s2,m2) fj(s2,m2)/Dj(s2) fi(s1,m2) = ci(m2) + i,j=r,s,.. phase space factors More complete : Faddeev equations (keep the PV) (Schult,Wyld) but … needs realistic two-body T-matrix and covariance

  7. fi(s1,m2) = Hij(s1,m2) cj(s1,m2) Hii = 1, Hij = 0  isobar model (Goradia et al.)

  8. Background processes r p Deck graph p p p p Absorption  important in charge exchange OPE, ORE, …

  9. a2 production (E852) in p0 h <-Y42> = |D+|2 - |D-|2 D+ ++ = r++ D++- = r+-+ C+- r++ C+- = e-iac(t)p/2 ebc t C+- r+- r++ = (t’/4mn2)(1/2) e-ar(t)p/2 ebr t tan(ar(t)p/2) r+- = (GT/Gv)(t’/4mn2) e-ar(t)p/2 ebr t tan(ar(t)p/2)

  10. = + mX mX0 S* Chiral extrapolations : Soft pions : chiral loops significantly renormalize hadron properties Mass correction : from transition to nearly degenerate states

  11. Open channel couplings

More Related