74
S. Sood et al.
Fig. 6.3 The cross-section
of events with IMF
multiplicity one, two, three,
and four productions at
different incident energies
for the central reactions of
40 Ar+ 45 Sc using MST,
MSTP, MSTBT, and SACA
fragment identifiers
and is based on the multiplicities of IMFs. They plotted the cross-section of the
events having one, two, three, and four multiplicity values as a function of incident
energy. They proposed that the cross-section of σ I M F = 1 (σ I M F = 2) has minima
(maxima) at critical point. This observation was never tested in other studies.
In Fig. 6.3, we displayed the cross-sections of intermediate-mass fragments
(IMFs) with one, two, three, and four multiplicity values in the incident energy
range between 15 and 115 MeV/nucleon. Symbols are keeping the same meaning
as in Fig. 6.1 and lines are drawn just to guide the eyes. We observe the minima
for σ I M F = 1 at 55, 45, 55 MeV/nucleon for MST, MSTP, and MSTBT methods,
respectively. The minima are broader 55–65 MeV/nucleon for the case of MST and
MSTBT identified fragments, and sharper for the MSTP and SACA identified fragments. But the critical point (as discussed earlier) is far away from these energy
values. Therefore, even though we do not exclude the possibility of observation of
such minima as a phase transition signal away from critical point, the present study
does show that not much can be gained to pin down the exact critical point. On the
other hand, the events with σ I M F = 2 multiplicity do not show sharp maxima or the
characteristic signal as was proposed in [14]. If we look at the behavior of higher
multiplicity events, we see no peculiar behavior at or near the critical point. We also
see differences in the values of cross-sections which is very much obvious and arise
due to structure of cluster definitions.
From the above discussion, we find that MSTP method is best among the MSTbased clusterization algorithms. Considering this, in the upcoming part of the present
study, we will limit to MSTP and SACA methods only. Among these, the MSTP
S. Sood et al.
Fig. 6.3 The cross-section
of events with IMF
multiplicity one, two, three,
and four productions at
different incident energies
for the central reactions of
40 Ar+ 45 Sc using MST,
MSTP, MSTBT, and SACA
fragment identifiers
and is based on the multiplicities of IMFs. They plotted the cross-section of the
events having one, two, three, and four multiplicity values as a function of incident
energy. They proposed that the cross-section of σ I M F = 1 (σ I M F = 2) has minima
(maxima) at critical point. This observation was never tested in other studies.
In Fig. 6.3, we displayed the cross-sections of intermediate-mass fragments
(IMFs) with one, two, three, and four multiplicity values in the incident energy
range between 15 and 115 MeV/nucleon. Symbols are keeping the same meaning
as in Fig. 6.1 and lines are drawn just to guide the eyes. We observe the minima
for σ I M F = 1 at 55, 45, 55 MeV/nucleon for MST, MSTP, and MSTBT methods,
respectively. The minima are broader 55–65 MeV/nucleon for the case of MST and
MSTBT identified fragments, and sharper for the MSTP and SACA identified fragments. But the critical point (as discussed earlier) is far away from these energy
values. Therefore, even though we do not exclude the possibility of observation of
such minima as a phase transition signal away from critical point, the present study
does show that not much can be gained to pin down the exact critical point. On the
other hand, the events with σ I M F = 2 multiplicity do not show sharp maxima or the
characteristic signal as was proposed in [14]. If we look at the behavior of higher
multiplicity events, we see no peculiar behavior at or near the critical point. We also
see differences in the values of cross-sections which is very much obvious and arise
due to structure of cluster definitions.
From the above discussion, we find that MSTP method is best among the MSTbased clusterization algorithms. Considering this, in the upcoming part of the present
study, we will limit to MSTP and SACA methods only. Among these, the MSTP