Size matters: Origin of binomial scaling in nuclear fragmentation experiments
نویسندگان
چکیده
The relationship between measured transverse energy, total charge recovered in the detector, and size of the emitting system is investigated. Using only very simple assumptions, we are able to reproduce the observed binomial emission probabilities and their dependences on the transverse energy. Our results show that the observed scaling can arise due to a combination of finite-size effects and detector acceptance effects. @S0556-2813~99!07705-5#
منابع مشابه
Statistical Exploration of Fragmentation Phase Space and Source Sizes in Nuclear Multifragmentation
The multiplicity distributions for individual fragment Z values in nuclear multifragmentation are binomial. The extracted maximum value of the multiplicity, mZ , is found to depend on Z according to mZ = Z0/Z, where Z0 is the source size. This is shown to be a strong indication of statistical coverage of fragmentation phase space. The inferred source sizes coincide with those extracted from the...
متن کاملSizes in Nuclear Multifragmentation and the Statistical Exploration of Fragmentation Phase Space
The multiplicity distributions for individual fragment Z values in nuclear multifragmentation are binomial. The extracted maximum value of the mul-tiplicity, m Z , is found to depend on Z according to m Z = Z 0 /Z, where Z 0 is the source size. This is shown to be a strong indication of statistical coverage of fragmentation phase space. The inferred source sizes coincide with those extracted fr...
متن کاملSolution of the Reducibility Puzzle
During the last decade, evidence has been mounting that nuclear matter undergoes a phase transition in the nuclear fragmentation process. From general consideration regarding the elementary nucleon-nucleon interaction (repulsive at short and attractive at intermediate distances), we expect the nuclear phase-diagram to show a Van-der-Waals ‘‘liquid-gas’’ phase transition of first order, terminat...
متن کاملZ-dependent Barriers in Multifragmentation from Poissonian Reducibility and Thermal Scaling
We explore the natural limit of binomial reducibility in nuclear multifragmentation by constructing excitation functions for intermediate mass fragments (IMF) of a given element Z. The resulting multiplicity distributions for each window of transverse energy are Poissonian. Thermal scaling is observed in the linear Arrhenius plots made from the average multiplicity of each element. “Emission ba...
متن کاملAn Alternative to the Beta-Binomial Distribution with Application in Developmental Toxicology
The beta-binomial distribution is resulted when the probability of success per trial in the binomial distribution varies in successive trials and the mixing distribution is from the beta family. For experiments with binary outcomes, often it may happen that observations exhibit some extra binomial variation and occur in clusters. In such experiments the beta-binomial distribution can generally ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999