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Open-charm mesons in hot and dense matter

Open-charm mesons in hot and dense matter. L. Tolos 1 , A. Ramos 2 and T. M. 3 1 FIAS (University of Frankfurt) 2 Universitat de Barcelona 3 Virginia Tech. Motivation Self-consistent coupled-channel approach: Charmed baryon Resonances:  c (2593) and  c (2800)

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Open-charm mesons in hot and dense matter

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  1. Open-charm mesons in hot and dense matter L. Tolos1, A. Ramos2 and T. M.3 1FIAS (University of Frankfurt) 2Universitat de Barcelona 3 Virginia Tech Motivation Self-consistent coupled-channel approach: Charmed baryon Resonances: c(2593) and c(2800) Open-charm mesons in hot dense matter Conclusions & Outlook Jefferson Lab, May 20 2008

  2. Motivation Experimental scenarios.. • J/ suppression NA50 Collaboration, M.Gonin et al., NPA 610 (1996) 404c initially predicted by color screening in QGP T.Matsui and H. Satz, PLB 178 (1986) 416 but also due to comover scattering several authors: A. Capella, R. Vogt, X.N. Wang, W. Cassing, O. Linnyk, A. Andronic.. J/ + ,  D + D • Open-charm enhancement NA50 Collaboration, M.C.Abreu et al., EPJ C14 (2000) 443 but recent debate because of dimuon production by NA60 NA60 Collaboration, E.Scomparin, talk @ QM2005 • D-mesic nuclei predicted by QMC model for D-, D0 & D0 in 208Pb K. Tsushima et al. PRC 59 (1999) 2824 _ -

  3. CBM@FAIR To understand these issues it is imperative to have a realistic picture of the properties of charmonia and open charm mesons in a hotnuclear environment. This is especially important for the conditions of the CBM@FAIR heavy ion experiment, where both density (r~1-2 fm-3) and temperature (T~100 MeV) are relevant parameters.

  4. From the theoretical side.. _ DN interaction:similar features as KN interaction. In the charm sector we also find a subthreshold I=0 resonance, the Lc(2593) (udc) with a strong resemblance to the L(1405) (uds). May the Lc(2593) be generated also dynamically?

  5. Predictions for the mass shift in mean-field models: UD+(0) ~ -60 to -200 MeV and UD-(0) ~ 20 to -140 MeV • QMC modelK.Tsushima et al. PRC 59 (1999) 2824, A. Sibirtsev et al. EPJ 6 (1999) 351 • QCD sum-rule model A.Hayashigaki PLB 487 (2000) 96, 2W. Weise Hirschegg’01 (2001) 249 • Chiral modelA. Mishra et al. PRC 69 (2004) 015202 • Spectral function in self-consistent coupled-channel approach: • D meson self-energy with a SU(3) separable potential for u-,d- and c- content as bare interaction LT, J. Schaffner-Bielich and A. Mishra PRC 70 (2004) 025203; LT, J. Schaffner-Bielich and H. Stoecker PLB 635 (2006) 85 (finite T!) • D and Dmeson self-energy with an improved bare interaction by extension to SU(4) M.F.M. Lutz and C.L. Korpa PLB 633 (2006) 43 • D meson self-energy using a revised SU(4) interaction + scalar-isoscalar attractive DN term T. Mizutani and A. Ramos PRC 74 (2006) 065201 _ _ HERE: we extend the model to D mesons and implement finite T effects

  6. V Self-consistent coupled-channel approach: c(2593) and c(2800) Model: • Potential V built from the meson-baryon Lagrangian at lowest order SU(4) symmetry broken by the use of physical masses.

  7. = + V is also supplemented by a scalar-isoscalar interaction (SDN term) (from QCDSR) • 2. Unitarization: N/D method • equivalent to Bethe-Salpeter coupled-channel equations with on-shell amplitudes Tij = Vij + Vil GlTlj The loop function G is regularized with a cut-off L [adjusted to reproduce Lc(2593)] Model A: Model B:

  8. Free space DN amplitudes I=0 I=1 R. Mizuk et al. [Belle Collaboration] Phys.Rev.Lett.94, 122002(2005) Sc(2800), G~60 MeV The model generates the I=0 Lc(2593) and another resonance in I=1 around the nominal Sc(2800)!

  9. = + Tij = Vij + Vil GlTlj = + Tij(r) = Vij + VilGl(r)Tlj(r) = + In-medium DN interaction: selfconsistent coupled-channel procedure Free space meson dressing Medium Pauli blocking and baryon dressing Dressed D meson:

  10. Medium modificationsat finite temperature in the intermediate propagator G(,T) Pauli blocking for nucleons: Properties of mesons andbaryons in the medium: - model at finite temperature for baryons (N,,,c,c)  self-energy at finite temperature

  11. _ Self-consistent calculation for D and D self-energy ~ where T is the in-medium interaction at finite temperature and P=q+p is the 4-momentum of the D(D)N pair in the nuclear matter rest frame. Then, the D(D)N propagator and the spectral density read _ _

  12. Open-charm mesons in hot dense matter In-mediumc(2593) & c(2800) at finite temperature

  13. D meson spectral function at finite temperature c*N-1 qp peak c*N-1

  14. Evolution with density and temperature of the D spectral function Similar trend to previous finite temperature results LT, J. Schaffner-Bielich and H. Stoecker PLB 635 (2006) 85

  15. _ DN scattering lengths & D meson potential _ in contrast with LK similar to LK but half of HKMS LK: M.F.M. Lutz and C.L.Korpa, PLB 633 (2006) 43 HKMS: J.Haidenbauer et al., EPJA 33 (2007) 107

  16. _ D and D meson potentials

  17. Conclusions & Outlook We perform a self-consistent coupled-channel calculation of the D and D self-energies in symmetric nuclear matter at finite temperature taking, as bare interaction, the SU(4) TW contribution supplemented by DN term _ • In hot dense matter, c(2593) and c(2800) stay close to their free position but develop a remarkable width. • The D meson spectral density shows a single pronounced peak at finite temperature that melts with increasing density. • The low-density approximation NOT a good one for the \bar DN, where the repulsive I=1 component dominates. • Temperature induces a stronger change in the mass of D than D meson and different behaviour of the imaginary part due to distinct resonant structure. _

  18. Open questions? • J/ suppression • Open-charm enhancement • D-mesic nuclei Some answers expected at CBM @ FAIR Working along these lines… • Dressed charmed baryons beyond mean-field • In-medium charmed cross sections • …. Laura Tolos, A. Ramos and T. M. arXiv:0710:

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