1,039 research outputs found
Dynamic collective theory of odd-a nuclei
The unified model and the collective giant-dipole-resonance model are unified. The resulting energy spectrum and the transition probabilities are derived. A new approximate selection rule involving the symmetry of the γ vibrations is established. It is verified that the main observable features in the photon-absorption cross section are not influenced by the odd particle, despite the considerably richer spectrum of states as compared to even-even nuclei
Static theory of the giant quadrupole resonance in deformed nuclei
The modes and frequencies of the giant quadrupole resonance of heavy deformed nuclei have been calculated. The quadrupole operator is computed and the absorption cross section is derived. The quadrupole sum rule is discussed, and the relevant oscillator strengths have been evaluated for various orientations of the nucleus. The giant quadrupole resonances have energies between 20 and 25 MeV. The total absorption cross section is about 20% of the giant dipole absorption cross section. Of particular interest is the occurrence of the quadrupole mode which is sensitive to the nuclear radius in a direction of approximately θ=(1/4)π from the symmetry axis. This may give information on the details of the nuclear shape
Poisson problems for semilinear Brinkman systems on Lipschitz domains in Rn
The purpose of this paper is to combine a layer potential analysis with the Schauder fixed point theorem to show the existence of solutions of the Poisson problem for a semilinear Brinkman system on bounded Lipschitz domains in Rn (n 65 2) with Dirichlet or Robin boundary conditions and data in L2-based Sobolev spaces. We also obtain an existence and uniqueness result for the Dirichlet problem for a special semilinear elliptic system, called the Darcy\u2013Forchheimer\u2013 Brinkman system
Loewner PDE in infinite dimensions
In this paper, we prove the existence and uniqueness of the solution
of the Loewner PDE with normalization , where is
such that , on the unit ball of a separable reflexive complex
Banach space . We also give improvements of the results obtained recently by
Hamada and Kohr, but we omit their proofs for the sake of brevity. In
particular, we obtain the biholomorphicity of the univalent Schwarz mappings
with normalization for ,
where , which satisfy the semigroup property on the unit ball of a
complex Banach space . We further obtain the biholomorphicity of
-normalized univalent subordination chains under some normality condition on
the unit ball of a reflexive complex Banach space . We prove the existence
of the biholomorphic solutions of the Loewner PDE with normalization
on the unit ball of a separable reflexive complex Banach space
. The results obtained in this paper give some positive answers to the open
problems and conjectures proposed by the authors in 2013
High Resolution Ozone Mapper (HROM)
Using the backscatter ultraviolet instrument (BUV) aboard NIMBUS 4 as a baseline, point scanner mechanisms and spatial multiplex scanning systems were compared on the basis of sensitivity, field of view and simplicity. This comparison included both spectral and spatial scanning and multiplexing techniques. The selected system which optimally met the performance requirements for a shuttle based instrument was a pushbroom spatial scanner using a 15 element photomultiplier tube array and a Hadamard multiplex spectral scan. The selected system was conceptually designed. This design includes ray traces of the monochromator, mechanical layouts and the electronic block diagram
A study of the problems that modern mathematics presents to schools for the visually handicapped
Thesis (Ed.M.)--Boston Universit
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