Results 1  10
of
41
Nodari, Symmetric ground states for a stationary relativistic meanfield model for nucleons in the nonrelativistic limit
 Rev. Math. Phys
"... Abstract. In this paper we consider a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics nonrelativistic limit, which is of a very different nature from the one of the atomic physics. Ground states with a g ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
(Show Context)
Abstract. In this paper we consider a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics nonrelativistic limit, which is of a very different nature from the one of the atomic physics. Ground states with a given angular momentum are shown to exist for a large class of values for the coupling constants and the mesons ’ masses. Moreover, we show that, for a good choice of parameters, the very striking shapes of mesonic densities inside and outside the nucleus are well described by the solutions of our model. 1.
Ground states for a stationary meanfield model for a nucleon. arXiv preprint arXiv :1208.2450
, 2012
"... Abstract. In this paper we consider a variational problem related to a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a very different nature than the nonrelativistic li ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
(Show Context)
Abstract. In this paper we consider a variational problem related to a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a very different nature than the nonrelativistic limit in the atomic physics. Ground states are shown to exist for a large class of values for the parameters ofthe problem, whicharedeterminedby thevalues ofsomephysical constants. 1.
Stochastic SelfSimilar and Fractal Universe
, 2003
"... The structures formation of the Universe appears as if it were a classically selfsimilar random process at all astrophysical scales. An agreement is demonstrated for the present hypotheses of segregation with a size of astrophysical structures by using a comparison between quantum quantities and as ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
The structures formation of the Universe appears as if it were a classically selfsimilar random process at all astrophysical scales. An agreement is demonstrated for the present hypotheses of segregation with a size of astrophysical structures by using a comparison between quantum quantities and astrophysical ones. We present the observed segregated Universe as the result of a fundamental selfsimilar law, which generalizes the Compton wavelength relation. It appears that the Universe has a memory of its quantum origin as suggested by R.Penrose with respect to quasicrystal. A more accurate analysis shows that the present theory can be extended from the astrophysical to the nuclear scale by using generalized (stochastically) selfsimilar random process. This transition is connected to the relevant presence of the electromagnetic and nuclear interactions inside the matter. In this sense, the presented rule is correct from a subatomic scale to an astrophysical one. We discuss the near full agreement at organic cell scale and human scale too. Consequently the Universe, with its structures at all scales (atomic nucleus, organic cell, human, planet, solar system, galaxy, clusters of galaxy, super clusters of galaxy), could have a fundamental quantum reason. In conclusion, we analyze the spatial dimensions of the objects in the Universe as well as spacetime dimensions.
An artificial neural network application on nuclear charge radii
"... Abstract. The artificial neural networks (ANNs) have emerged with successful applications in nuclear physics as well as in many fields of science in recent years. In this paper, by using (ANNs), we have constructed a formula for the nuclear charge radii. Statistical modeling of nuclear charge radii ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
Abstract. The artificial neural networks (ANNs) have emerged with successful applications in nuclear physics as well as in many fields of science in recent years. In this paper, by using (ANNs), we have constructed a formula for the nuclear charge radii. Statistical modeling of nuclear charge radii by using ANNs has been seen as to be successful. Also, the charge radii, binding energies and twoneutron separation energies of Sn isotopes have been calculated by implementing of the new formula in HartreeFockBogoliubov (HFB) calculations. The results of the study shows that the new formula is useful for describing nuclear charge radii.
THE RELATIVISTIC MEANFIELD EQUATIONS OF THE ATOMIC NUCLEUS
"... Abstract. In nuclear physics, the relativistic meanfield theory describes the nucleus as a system of Dirac nucleons which interact via meson fields. In a static case and without nonlinear selfcoupling of the σ meson, the relativistic meanfield equations become a system of Dirac equations where th ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
(Show Context)
Abstract. In nuclear physics, the relativistic meanfield theory describes the nucleus as a system of Dirac nucleons which interact via meson fields. In a static case and without nonlinear selfcoupling of the σ meson, the relativistic meanfield equations become a system of Dirac equations where the potential is given by the meson and photon fields. The aim of this work is to prove the existence of solutions of these equations. We consider a minimization problem with constraints that involve negative spectral projectors and we apply the concentrationcompactness lemma to find a minimizer of this problem. We show that this minimizer is a solution of the relativistic meanfield equations considered. 1.
Declaration
, 2014
"... By submitting this dissertation electronically, I declare that the entirety of the work contained therein is my own, original work, that I am the owner of the copyright thereof (unless to the extent explicitly otherwise stated) and that I have not previously in its entirety or in part submitted it f ..."
Abstract
 Add to MetaCart
(Show Context)
By submitting this dissertation electronically, I declare that the entirety of the work contained therein is my own, original work, that I am the owner of the copyright thereof (unless to the extent explicitly otherwise stated) and that I have not previously in its entirety or in part submitted it for obtaining any qualification.
Acceptance for the Council:
, 2009
"... This Thesis is brought to you for free and open access by the Graduate School at Trace: Tennessee Research and Creative Exchange. It has been ..."
Abstract
 Add to MetaCart
(Show Context)
This Thesis is brought to you for free and open access by the Graduate School at Trace: Tennessee Research and Creative Exchange. It has been
PAIRING CORRELATIONS AND PHASE TRANSITIONS IN MESOSCOPIC SYSTEMS
"... The Office of Graduate Studies has verified and approved the above named committee members. ..."
Abstract
 Add to MetaCart
(Show Context)
The Office of Graduate Studies has verified and approved the above named committee members.