Criticality in the configuration - mixed interacting boson model : ( 1 ) U ( 5 ) – Q̂ ( χ ) · Q̂ ( χ ) mixing
نویسندگان
چکیده
The case of U(5)–Q̂(χ) · Q̂(χ) mixing in the configuration-mixed Interacting Boson Model is studied in its mean-field approximation. Phase diagrams with analytical and numerical solutions are constructed and discussed. Indications for first-order and second-order shape phase transitions can be obtained from binding energies and from critical exponents, respectively.
منابع مشابه
Criticality in the configuration-mixed Interacting Boson Model: (2) Q̂(χ1)Q̂(χ1)-Q̂(χ2)Q̂(χ2) mixing
The case of Q̂(χ1) · Q̂(χ1)-Q̂(χ2) · Q̂(χ2) mixing in the interacting boson model is studied within its mean-field approximation. It is shown that the criticality conditions lead to two classes of solutions and that χ1 and χ2 need to have an opposite sign to allow for prolate-oblate shape coexistence. No evidence for a stable triaxial minimum is found. Phase diagrams for selected cases have been co...
متن کاملRealistic Interactions and Configuration Mixing in Fermionic Molecular Dynamics
In Fermionic Molecular Dynamics the occurrence of multifragmentation depends strongly on the intrinsic structure of the many-body state. Slater determinants with narrow single-particle states and a cluster substructure show multifragmentation in heavy-ion collisions while those with broad wave functions, which resemble more a shell-model picture, deexcite by particle emission. Which of the two ...
متن کاملCommutation Relations in Mesoscopic Electric Circuits
In the talk, I briefly demonstrate the quantum theory for mesoscopic electric circuits and its applications. In the theory, the importance of the charge discreteness in a mesoscopic electric circuit is addressed. As a result, a new kind of commutation relation for electric charge and current occurred inevitably. The charge representation, canonical current representation and pseudo-current repr...
متن کاملSupplemental Information: Streaming Variational Inference for Bayesian Nonparametric Mixture Models
where the inequality follows by Jensen’s inequality [1]. The approximation is tight when q̂(z1:n) and q̂(θ\k) approach Dirac measures. Eq. (6) is that of the standard mean field update for q̂(θk) [2]. Since the q(θk) distributions are unknown for all k, we could perform coordinate ascent and cycle through these updates for each of the θk given the other θ\k and q̂(z1:n). Conveniently, since the q̂(z...
متن کاملPredicted Signatures at the LHC from U(1) Extensions of the Standard Model 1.
We discuss the U(1)X extensions of the standard model with focus on the Stueckelberg mechanism for mass growth for the extra U(1)X gauge boson. The assumption of an axionic connector field which carries dual U(1) quantum numbers, i.e., quantum numbers for the hypercharge U(1)Y and for the hidden sector gauge group U(1)X , allows a non-trivial mixing between the mass growth for the neutral gauge...
متن کامل