Dear Jens Jørgen,
                 attached are the ratios for AMPT vs y and 
Alper et at  vs sqrt(s). 
                Michael
Quoting Jens Jørgen Gaardhøje <gardhoje@nbi.dk>:
> Hi Michael
> I don't have the copy of Becattini at home. I remember we took the
> values
> from a later figure bin the paper, where the strange fugacity is nil.
> We'll
> check out tomorrow. Claus actually wrote to Becattini yesterday to hear
> what
> he has to say.
> cheers
> JJ
> 
> ____________________________________________________________
> Jens Jørgen Gaardhøje, Assoc. Prof., Dr. Sc.
> Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark.
> Tlf: (+45) 35 32 53 09, secr. (+45) 35 32 52 09, Fax: (+45) 35 32 50
> 16.
> UNESCO Natl. Comm., secr. (+45) 33 92 52 16.
> Email: gardhoje@nbi.dk.
> ____________________________________________________________
> 
> 
> ----- Original Message -----
> From: "Michael Murray" <murray@cyclotronmail.tamu.edu>
> To: <brahms-l@bnl.gov>
> Sent: Tuesday, June 25, 2002 11:46 PM
> Subject: Re: Ratios Paper - Draft 2.2
> 
> 
> >    Dear Jens Jorgen,
> >            thanks for the quick reply. It seems to me that
> > your plot is wrong. Look at Fig 4 of PRC63 024901. For pbar/p=1
> > k-/k+ =1 of course. For pbar/p=0.4 k+/k-=1.17 implying k-/k+=0.85
> > not 0.74 as you show in your plot. I think it is   important to
> > show our 130GeV data too and so that should be mentioned in the
> > text. While the errors on NA49's pbar/p are large they are
> > consistently larger than our results. By the way the AGS data in
> > my plot are for y=0.
> >                  Yours Michael
> > PS I will  send you my ratios in tabul form. However I think that
> > my plot looks nicer than yours.
> >
> >
> > Quoting Jens Jørgen Gaardhøje <gardhoje@nbi.dk>:
> >
> > > Hi Michael,
> > >
> > > Thanks for the plot. Claus and I brain stormed a bit his afternoon,
> > > prior to
> > > ypour message. ¨
> > >
> > > We fit the Brahms data at 200 and 130, the Na49 and the AGS
> > > data nicely with a functional: k-/k+= A (pbar/p)** B +C. This
> suggest a
> > > universal scaling of Kaon rations (hence mu_s) with P ratios (hence
> > > mu_B).
> > >
> > > I don't understand your comment about Beccatini being wrong. He has
> > > used
> > > full rapidity integrated info. Is Becattini wrong or is our plot
> wrong?
> > > Is
> > > the issue that in becattini's table different strange fugacities
> are
> > > used
> > > (gamma_s)? Our curve uses his values but with gamma_s =1 (i.e. no
> > > strangeness loss from the volume).
> > >
> > > We'll add a mu_b scale on the plot (fig.4) based on
> > > pbar/p=exp(-2mu_B/T).
> > >
> > > Could you send us the numbers and the best ref. for (our) NA44 data
> at
> > > SPS?
> > >
> > > We would appreciate if you could supply us with the absolute latest
> > > AMPT
> > > ratios, in a form ready to plug into a root macro.
> > >
> > > We should really announce this paper at the end of the week. There
> was
> > > significant interest for our data at the Gordon conf.
> > >
> > > cheers
> > > JJ
> > >
> > >
> > > ____________________________________________________________
> > > Jens Jørgen Gaardhøje, Assoc. Prof., Dr. Sc.
> > > Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark.
> > > Tlf: (+45) 35 32 53 09, secr. (+45) 35 32 52 09, Fax: (+45) 35 32
> 50
> > > 16.
> > > UNESCO Natl. Comm., secr. (+45) 33 92 52 16.
> > > Email: gardhoje@nbi.dk.
> > > ____________________________________________________________
> > >
> > >
> > > ----- Original Message -----
> > > From: "Michael Murray" <murray@cyclotronmail.tamu.edu>
> > > To: <brahms-l@bnl.gov>
> > > Sent: Tuesday, June 25, 2002 8:57 PM
> > > Subject: Re: Ratios Paper - Draft 2.2
> > >
> > >
> > > >      Dear Claus and Jens Jorgen,
> > > >                        thanks for the new ratios draft. I think
> > > > that it is a great improvement. However I have some concerns
> > > > about Fig 4, I have attached my version.
> > > >  The first is that the thermal curve for Becattini is wrong.
> > > > >From PRC64 024901 one gets k+/k-=1.17 for pbar/p =0.4.
> > > > That gives k-/k+=0.85 at pbar/p=0.4 in good aggreement with our
> > > > data. This is the dashed line in my plot.
> > > >
> > > > Secondly I think it is crucial that we address the question of
> > > > weather we have local
> > > > strangeness neutrallity at different rapidities. If this were
> > > > so as long as the temperature does vary mu_s (and hence k-/k+)
> > > > is  fixed for a  given mu_b (ie pbar/p). Therefore we should
> > > > see a universal curve of k-/k+ versus pbar/p. In my plots I have
> > > > shown our 130GeV data and pp data from (Alper et al). They
> > > > are both in good agggreement with our 200GeV data.
> > > >
> > > > Third all k-/k+ data lie above (pbar/p)**1/3. Thus we have
> > > > a positive mu_s which approches 0 as pbar/p goes to 1.
> > > >
> > > > Finally I would prefer to use the published NA44 pbar/p ratios
> > > > rather than the QM99 pbar/p values from NA49. The spokesman of
> > > > NA49 told me that he thought the pbar yields should go down.
> > > > This would bring there pbar/p closer to ours. Both experiments
> > > > aggree on k-/k+.
> > > >
> > > > AMPT does not reproduce the data, both k-/k+ and pbar/p are
> > > > too high. In my plots the yellow  band shows AMPT for the same
> > > > rapidity region as our data. Also the Pt slopes are not quite
> > > > the  same were as for us our ratios have no Pt dependence.
> > > >
> > > > Masashi has found that feed-down from weak decays does not
> > > > effect the k-/k+ or pbar/p ratios very much. This strengens
> > > > our case for using them in a thermal analysis.
> > > >
> > > > For my plot I guess errors of 10% for the pp data. Tess is typing
> > > > in the spectra for me so that I can  get the proper errors.
> > > > The k-/k+ ratio E866 is at y=0 and would be somewhat lower if
> > > > averaged over the same region as the pbars, ie 1.0<y<2.2.
> > > >
> > > >
> > > > In summary it seems that a thermal description of our data
> > > > with T~160-170MeV and local strangeness neutrallity gives
> > > > a good  description of our data. K-/k+ vs pbar/p looks like
> > > > a universal curve.
> > > >
> > > > Michael Murray, Cyclotron TAMU, 979 845 1411 x 273, Fax 1899
> > >
> > >
> >
> >
> --------------------------------------------------------------------------
> --
> > > ----
> > >
> > >
> > >
> > >
> > >
> >
> >
> >
> > Michael Murray, Cyclotron TAMU, 979 845 1411 x 273, Fax 1899
> >
> >
> 
Michael Murray, Cyclotron TAMU, 979 845 1411 x 273, Fax 1899
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