Search results for "Quasiparticle"
showing 10 items of 280 documents
Pairing based cooling of Fermi gases
2007
We propose a pairing-based method for cooling an atomic Fermi gas. A three component (labels 1, 2, 3) mixture of Fermions is considered where the components 1 and 2 interact and, for instance, form pairs whereas the component 3 is in the normal state. For cooling, the components 2 and 3 are coupled by an electromagnetic field. Since the quasiparticle distributions in the paired and in the normal states are different, the coupling leads to cooling of the normal state even when initially $T_{paired}\geq T_{normal}$ (notation $T_S\geq T_N$). The cooling efficiency is given by the pairing energy and by the linewidth of the coupling field. No superfluidity is required: any type of pairing, or ot…
Rotational properties of nuclei aroundNo254investigated using a spectroscopic-quality Skyrme energy density functional
2014
Background: Nuclei in the $Z\ensuremath{\approx}100$ mass region represent the heaviest systems where detailed spectroscopic information is experimentally available. Although microscopic-macroscopic and self-consistent models have achieved great success in describing the data in this mass region, a fully satisfying precise theoretical description is still missing.Purpose: By using fine-tuned parametrizations of the energy density functionals, the present work aims at an improved description of the single-particle properties and rotational bands in the nobelium region. Such locally optimized parametrizations may have better properties when extrapolating towards the superheavy region.Methods:…
Statistical analysis ofβdecays and the effective value ofgAin the proton-neutron quasiparticle random-phase approximation framework
2016
We perform a Markov chain Monte Carlo (MCMC) statistical analysis of a number of measured ground-state-to-ground-state single ${\ensuremath{\beta}}^{+}$/electron-capture and ${\ensuremath{\beta}}^{\ensuremath{-}}$ decays in the nuclear mass range of $A=62--142$. The corresponding experimental comparative half-lives ($logft$ values) are compared with the theoretical ones obtained by the use of the proton-neutron quasiparticle random-phase approximation $(pn\mathrm{QRPA})$ with $G$-matrix-based effective interactions. The MCMC analysis is performed separately for 47 isobaric triplets and 28 more extended isobaric chains of nuclei to extract values and uncertainties for the effective axial-vec…
Effective axial-vector strength and β -decay systematics
2014
We use the weak axial-vector coupling strength as a key parameter to reproduce simultaneously the available data for both the Gamow-Teller and decay rates in nine triplets of isobars with mass numbers . We use the proton-neutron quasiparticle random-phase approximation (pnQRPA) with schematic dipole interaction containing particle-particle and particle-hole parts with mass-dependent strengths. Our analysis points to a strongly quenched effective value , with a relative error of 28%. We then perform a systematic computation of 218 experimentally known and decays with quite a remarkable success. The presently extracted value of should be taken as an effective one, specific for a given nuclear…
Highly Correlated Fermi Liquid in Heavy-Fermion Metals: The Scaling Behavior
2014
In this chapter we show how the FCQPT theory works. We do that on the base of experimentally relevant examples. Namely, as noted in the Introduction (Chap. 1), the challenge for the theories is to explain the scaling behavior of the normalized effective mass \(M^*_N(y)\) displayed in Fig. 1.3. The theories analyzing only the critical exponents characterizing \(M^*_N(y)\) at \(y\gg 1\) consider only a part of the problem. In this section we analyze and derive the scaling behavior of the normalized effective mass near QCP as reported in Fig. 1.3. We start with describing magnetic field dependence of the quasiparticle effective mass in Sect. 6.1. Quasiparticle damping and the temperature depen…
LOCAL STRONG AND COULOMB POTENTIALS IN THE THREE-NUCLEON SYSTEM
1976
Publisher Summary This chapter focuses on local strong and Coulomb potentials in the three-nucleon system. Attempts to use local potentials in three-nucleon calculations with the Faddeev equations are impeded by the fact that for increasing energies contributions from higher and higher subsystem, angular momentum states become important, which quickly make the system of coupled equations unwieldy. However, if long-range interactions such as the Coulomb potential were added, such a procedure would not be useful at all. Several approaches exist that deal with the problems arising from the infinite range of the latter. In the work of Noble and Bencze, the Faddeev equations are modified so that…
Configuration-interaction calculations of jellium clusters by the nuclear shell model
1994
Configuration-interaction (CI) calculations are performed on Na clusters of up to 20 atoms within the spherical jellium model, with particular attention paid to the magic clusters with N=2, 8, and 20. The interacting valence electrons are assumed to move in the Coulomb field of the jellium core. The numerical work is carried out by the nuclear-structure code oxbash modified to handle LS coupling. The many-particle bases are constructed of harmonic-oscillator single-particle states extending over 11 major shells and, alternatively, of single-particle states generated by the local-spin-density approximation (LSDA). The calculated quantities include ground- and excited state energies, ionizati…
Comparative analysis of muon-capture and 0νββ -decay matrix elements
2020
Average matrix elements of ordinary muon capture (OMC) to the intermediate nuclei of neutrinoless double beta ($0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$) decays of current experimental interest are computed and compared with the corresponding energy and multipole decompositions of $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$-decay nuclear matrix elements (NMEs). The present OMC computations are performed using the Morita-Fujii formalism by extending the original formalism beyond the leading order. The $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ NMEs include the appropriate short-range correlations, nuclear form factors, and higher-order nucleonic weak cu…
SYSTEMATICAL MULTIPARTICLE THEORY AND ITS APPLICATION TO THE FOUR-NUCLEON PROBLEM
1972
Publisher Summary This chapter discusses the systematical multiparticle theory and its application in the four-nucleon problem. The chapter describes the structure of the 2- body and 3-body equations and shows that the generalization to n particles can be accomplished in a natural way. It is a characteristic feature of this approach that the kernel of the occurring integral equations is built up by all subsystem transition operators in an explicit way. One of the important features of the 3-body theory is also achieved in the n-body formalism. This enables the application of the quasiparticle concept in a direct way. The 2-body problem is completely determined by the solution of the Lippman…
Two-Quasiparticle Mixing by the QRPA
2007
In the previous two chapters we introduced two-quasiparticle configuration mixing. The method was based on the QTDA. In this chapter we extend the formalism to the QRPA. We derive the QRPA equations by the equations-ofmotion method. Due to approximations in the derivation the resulting equations do not satisfy a variational principle. The properties of QRPA solutions are similar to those of the particle-hole RPA of Chap. 11.