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The odd-even mass staggering in nuclei is analyzed in the context of self-consistent mean-field calculations, for spherical as well as for deformed nuclei. For these nuclei, the respective merits of the energy differences $\Delta^{(3)}$ and…

Nuclear Theory · Physics 2009-11-07 T. Duguet , P. Bonche , P. -H. Heenen , J. Meyer

The three moments of inertia associated with the wobbling mode built on the superdeformed states in 163Lu are investigated by means of the cranked shell model plus random phase approximation to the configuration with an aligned…

Nuclear Theory · Physics 2009-11-07 Masayuki Matsuzaki , Yoshifumi R. Shimizu , Kenichi Matsuyanagi

This work studies the large sample properties of the posterior-based inference in the curved exponential family under increasing dimension. The curved structure arises from the imposition of various restrictions on the model, such as moment…

Statistics Theory · Mathematics 2017-10-05 Alexandre Belloni , Victor Chernozhukov

We explore regions of parameter space in a simple exponential model of the form $V = V_0 e^{- \lambda \frac{Q}{M_p}}$ that are allowed by observational constraints. We find that the level of fine tuning in these models is not different from…

Astrophysics · Physics 2009-11-07 Urbano Franca , Rogerio Rosenfeld

We propose that the backbending phenomenon can be explained as a result of the disappearance of collective $gamma$-vibrational mode in the rotating frame. Using a cranking+random phase approximation approach for the modified Nilsson…

Nuclear Theory · Physics 2009-11-10 J. Kvasil , R. G. Nazmitdinov

Although persistent excitation is often acknowledged as a sufficient condition to exponentially converge in the field of adaptive parameter estimation, it must be noted that in practical applications this may be unguaranteed. Recently, more…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Siyu Chen , Jing Na , Yingbo Huang

Many real life problems can be reduced to the solution of a complex exponentials approximation problem which is usually ill posed. Recently a new transform for solving this problem, formulated as a specific moments problem in the plane, has…

Numerical Analysis · Mathematics 2012-05-03 Piero Barone

Within the supersymmetry scheme, which includes many-body interactions and a perturbation possessing the SO(5) (or SU(5)) symmetry, the rotational bands of the $A\sim 250$ mass region are studied systematically. A novel modification is…

Nuclear Theory · Physics 2024-03-12 Anshul Dadwal , Xiao-Tao He

Exponentiated models have been widely used in modeling various types of data such as survival data and insurance claims data. However, the exponentiated composite distribution models have not been explored yet. In this paper, we introduce…

Methodology · Statistics 2022-03-09 Bowen Liu , Malwane M. A. Ananda

We show that when a suitable entanglement generating unitary operator depending on a parameter is applied on N qubits in parallel, and an appropriate observable is measured, a precision of order 2 raised to the power (-N) in estimating the…

Quantum Physics · Physics 2013-05-29 S. M. Roy , Samuel L. Braunstein

We present an inertia-augmented relaxed micromorphic model that enriches the relaxed micromorphic model previously introduced by the authors via a term $\text{Curl}\dot{P}$ in the kinetic energy density. This enriched model allows us to…

Applied Physics · Physics 2022-04-06 Jendrik Voss , Gianluca Rizzi , Patrizio Neff , Angela Madeo

Nuclear shapes and odd-nucleon blockings strongly influence the odd-even differences of nuclear masses. When such effects are taken into account, the determination of the pairing strength is modified resulting in larger pair gaps. The…

Nuclear Theory · Physics 2009-10-31 F. R. Xu , R. Wyss , P. M. Walker

We present an exponential $F(R)$ modified gravity model in the Jordan and the Einstein frame. We use a general approach in order to investigate and demonstrate the viability of the model. Apart from the general features that this models…

General Relativity and Quantum Cosmology · Physics 2015-06-15 V. K. Oikonomou

We cast the $q$-rotor in the framework of Barnett-Pegg theory for rotation angle, whose underlying algebra is $SU_q(2)$. A new method to fix the deformation parameter from the theory is suggested. We test our ideas by fitting rotational…

Quantum Physics · Physics 2008-02-03 Ramandeep S. Johal

The pseudo-SU(3) model has been extensively used to study normal parity bands in even-even and odd-mass heavy deformed nuclei. The use of a realistic Hamiltonian that mixes many SU(3) irreps has allowed for a successful description of…

Nuclear Theory · Physics 2017-08-23 Jorge G. Hirsch , Carlos E. Vargas , Gabriela Popa , Jerry P. Draayer

Forward and inverse models are used throughout different engineering fields to predict and understand the behaviour of systems and to find parameters from a set of observations. These models use root-finding and minimisation techniques…

Computational Engineering, Finance, and Science · Computer Science 2023-08-08 Preslav Aleksandrov

From the semi-empirical formalisms of Bohr-Mottelson, a new model, based on the effect of beta- and gamma- head energies and the variable moment of inertia, was developed to calculate the ground state rotational band of almost all deformed…

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi , A. Y. Ahmed , Vikram Singh

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

Systems and Control · Electrical Eng. & Systems 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

We present a new approach to the electromagnetic inverse problem that explicitly addresses the ambiguity associated with its ill-posed character. Rather than calculating a single ``best'' solution according to some criterion, our approach…

Neurons and Cognition · Quantitative Biology 2007-05-23 David M. Schmidt , John S. George , C. C. Wood

Kernel approximation with exponentials is useful in many problems with convolution quadrature and particle interactions such as integral-differential equations, molecular dynamics and machine learning. This paper proposes a weighted…

Computational Physics · Physics 2025-05-07 Yuanshen Lin , Zhenli Xu , Yusu Zhang , Qi Zhou