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INTRINSIC P t , STRONG COLOR FIELDS, AND –MESON SPECTRA. Sven Soff (LBNL). with Kumar Kesavan, Nu Xu. Overview. double-strange -meson (re)investigating the ideas from the 80‘s (P.Koch, B.M üller, J.Rafelski, PR 142 (1986) 1)
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INTRINSIC Pt, STRONG COLOR FIELDS, AND –MESON SPECTRA Sven Soff (LBNL) with Kumar Kesavan, Nu Xu Sven Soff
Overview • double-strange -meson (re)investigating the ideas from the 80‘s (P.Koch, B.Müller, J.Rafelski, PR 142 (1986) 1) messenger of the early phase of the system evolution production, spectra, late stage interactions What do we learn from -mesons ? Sven Soff
Overview II • Field effects on the dynamics of the multi-particle system; in particular, on strange hadrons. • (other interesting studies (for example, detailed balance on the many-body level, etc...) Sven Soff
dynamical description of hadronization only quarks, no gluons describe nonperturbative soft regime interaction via two-body color potentials approximation: fixed charges for large baryon number, low gluon density (GSI-future) qMD - quark molecular dynamics(Scherer et al., NJP 3 (2001) 8) Sven Soff
Cornell-potential (incl.confinement) Comparison to exp. data surprisingly good Strangeness distillation in quark phase (S. Scherer et al.) qMD, S-distillation Sven Soff
Study reclustering vs. rearrangement Different diffusion lengths (path length of quark cluster before hadron formation) 2.2 fm for recombination 4.8 fm for rearrangement S+Au @ 200 AGeV see also R.Fries et al., nucl-th/0301087 recombination vs. fragmentation @RHIC Hadronization in qMD Rearrangement vs. Recombination (Scherer et al., NJP 3 (2001) 8) Sven Soff
Transverse Momentum Generation From the decay of color strings: f(pt) ~ exp(-pt2/ 2) with =0.55GeV/c for elementary reactions. In general, the Schwinger mechanism does not only produce massive particles but also pt from the linear energy density Pi~ exp [-(mi2+pt2) / ] = exp [-mi2/ ]* exp [-pt2 / 2int] Related also to, for example, CGC picture: Heavy ion data (spectra) follow simple scaling law <pt>2 ~ Nchdue to intrinsic pt broadening. J.Schaffner, L.McLerran, D.Kharzeev, R.Venugopalan, PLB514 (2002) 29, NPA705 (2002) 494 Sven Soff
Formation times and . Sven Soff
Color Field Strength & Regge Slope Regge trajectory J(M)=(0) + ‘ M2 with ‘ 1 GeV-2 for resonances. In rotational string picture J=1/(2) M2 =1/(2 ) 1GeV/fm ‘ Pomeron exchange results in ‘P 0.4 GeV-2 This translates into an effectively enhanced color field strength Sven Soff
dN/dy ( , ptint ) for -mesons (S.Soff, K. Kesavan, N. Xu) • Yields depend strongly on color field and intrinsic pt • Relative contributions (meson-meson vs. direct) also depend strongly on and ptint Sven Soff
Transverse momentum spectra of -mesons • With increasing intrinsic pt the spectra get harder and direct production dominates Sven Soff
Mean pt – mass dependence • <pt> increases approx. linearly with m • exp: <pt>() = <pt>(p); theo: <pt>() < <pt>(p); • difference due to rescattering of daughters Sven Soff
Hadron Ratios • Strange particle ratios strongly increase with • -ratios decrease with increasing ptint (reduced coalescence production) • p/ increases with ptint (energy-dependent ppbar annihilation) ; stronger increase for =3 than for =1 (due to larger particle densities, i.e., stronger absorption) ptint (S.Soff, K. Kesavan, N. Xu) Sven Soff
Baryon Ratios • Ratios increase with strangeness content |S| • Ratios increase with impact parameter (less stopping & absorption) • Ratios increase with color field strength (pair production vs. stronger baryon transport) (S.Soff, J.Randrup, H.Stöcker, N. Xu, PLB551 (2003) 115 ) Sven Soff
Netbaryon distributions • Stronger rapidity shift through SCF (particle densities and formation times) • More netbaryon, same number of netprotons, that is, hyperonization. • (-bar)/(p-pbar) enhanced from ~0.45 to 0.8 in SCF scenario. (S.Soff, J.Randrup, H.Stöcker, N. Xu, PLB551 (2003) 115 ) Sven Soff
QGSM • -meson yield under- estimated by a factor 2 • String fusion even reduce yields ? • Slope and flow compatible with data (reason? „sufficient secondary scatterings due to increased initial particle densities; these are caused by multi-pomeron exchanges + hard processes“) (strings are nonparallel to beam axis) L.Bravina et al., NPA715 (2003) ; E.Zabrodin et al., PLB508 (2001) 184 Sven Soff
Initial and late production initial (t<5 fm/c) production followed up by late stage coalescence-like production in K anti-K reactions • JPG 27 (2001) 449 Sven Soff
AMPT – Discussing the -puzzle • Systematic stuy of: K+K- vs. +- (NA49,NA50) in-medium effects • Yield differences in both channels cannot fully be explained • Importance of production via K Kbar rescattering of decay kaons • Additional initial production needed ! • Initial‘s primary visible in dimuon channel ! S.Pal, C.M. Ko, Z. Lin, NPA707 (2002) 525 S.Soff et al JPG2001; S.Johnson et al EPJC2001 Sven Soff
Strongcolor fields are associated with (i) enhanced heavy flavor, diquark production probabilites, (ii) modified, shorter formation times, (iii) stronger intrinsic transverse momentum Effects on -mesons: (a) enhanced yields (b) change of the composition of spectra (c) hardening of spectra (d) mean pt increase (e) particle ratios (f) baryon dynamics Moreover: role of late stage vs. early producion, rescattering of decay daughters Differences between kaonic and muonic -mesons wanted ! Summary Sven Soff
Stefan Scherer Sven Soff