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26 April 2024 |
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Critical behavior of the isotope yield distributions in the Multifragmentation Regime of Heavy Ion Reactions | | M. Huang
; R. Wada
; Z. Chen
; T. Keutgen
; S. Kowalski
; K. Hagel
; M.Barbui
; A. Bonasera
; C.Bottosso
; T. Materna
; J. B. Natowitz
; L. Qin
; M.R.D.Rodrigues
; P.K. Sahu
; K.J. Schmidt
; J. Wang
; | | Date: |
27 Jul 2010 | | Abstract: | Isotope yields have been analyzed within the framework of a Modified Fisher
Model to study the power law yield distribution of isotopes in the
multifragmentation regime. Using the ratio of the mass dependent symmetry
energy coefficient relative to the temperature, $a_{sym}/T$, extracted in
previous work and that of the pairing term, $a_{p}/T$, extracted from this
work, and assuming that both reflect secondary decay processes, the
experimentally observed isotope yields have been corrected for these effects.
For a given I = N - Z value, the corrected yields of isotopes relative to the
yield of $^{12}C$ show a power law distribution, $Y(N,Z)/Y(^{12}C) sim
A^{- au}$, in the mass range of $1 le A le 30$ and the distributions are
almost identical for the different reactions studied. The observed power law
distributions change systematically when I of the isotopes changes and the
extracted $ au$ value decreases from 3.9 to 1.0 as I increases from -1 to 3.
These observations are well reproduced by a simple de-excitation model, which
the power law distribution of the primary isotopes is determined to
$ au^{prim} = 2.4 pm 0.2$, suggesting that the disassembling system at the
time of the fragment formation is indeed at or very near the critical point. | | Source: | arXiv, 1007.4738 | | Services: | Forum | Review | PDF | Favorites | |
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