Abstract
In this paper, Landau theory for phase transitions is shown to be a useful approach for quantal system such as atomic nucleus. A detailed analysis of critical exponents of ground state quantum phase transition between U(5) and O(6) limits of interacting boson model is presented. Our results suggest a similarity between these two frameworks and a second order phase transition between these limits based on a discontinuity in the heat capacity.
Highlights
A days most of the scientists around the globe consider that basic phenomena related to the low energy heavy-ion nuclear physics are already discovered and their better description should be further developed by theoretical researchers
Gupta and collaborators laid the foundations of Quantum Mechanical Fragmentation Theory (QMFT), in a series of works during 1974-76, where the “cold reaction valleys’’ were first calculated [1, 2] for synthesizing new and super heavy elements, which led to the predictions of cluster radioactivity (CR), first on theoretical grounds by Sa ndulescu, Poenaru and Griener in 1980 [3] that was later established experimentally by Rose and Jones [4]
It may be emphasized that QMFT alone gives unified description to 4th-Type and of the Periodic Table to Super-heavy Nuclei: Contribution of Raj for all the three cold processes: cluster radioactivity, cold fission and cold fusion
Summary
A days most of the scientists around the globe consider that basic phenomena related to the low energy heavy-ion nuclear physics are already discovered and their better description should be further developed by theoretical researchers. Gupta and collaborators laid the foundations of Quantum Mechanical Fragmentation Theory (QMFT), in a series of works during 1974-76, where the “cold reaction valleys’’ were first calculated [1, 2] for synthesizing new and super heavy elements, which led to the predictions of cluster radioactivity (CR), first on theoretical grounds by Sa ndulescu, Poenaru and Griener in 1980 [3] that was later established experimentally by Rose and Jones [4]. The studies built on the “cold reaction valleys’’have led to the extension of the known Periodic Table of Elements up to Z=118 based on the concept of cold fusion. The QMFT or the dynamical fragmentation theory is introduced briefly, followed by Section III with details on the phenomenon of CR and Section IV on the extension of Periodic Table to super heavy nuclei. A brief report of this work was poster-presented at the DAE International Symposium on Nuclear Physics, BARC Mumbai, during December 2-6, 2013 [5]
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