122193074
The effect of the tensor force on the predicted stability of superheavy nuclei
The effect of the tensor component of the Skyrme effective nucleon-nucleon interaction on the single-particle structure in superheavy elements is studied. A selection of the available Skyrme forces has been chosen and their predictions for the proton and neutron shell closures investigated. The inclusion of the tensor term with realistic coupling strength parameters leads to a small increase in the spin-orbit splitting between the proton 2f7/2 and 2f5/2 partners, opening the Z=114 shell gap over a wide range of nuclei. The Z=126 shell gap, predicted by these models in the absence of the tensor term, is found to be stongly dependent on neutron number with a Z=138 gap opening for large neutron numbers, having a consequent implication for the synthesis of neutron-rich superheavy elements. The predicted neutron shell structures remain largely unchanged by inclusion of the tensor component.
16956676
Continuum time-dependent Hartree-Fock method for giant resonances in spherical nuclei
This paper deals with the solution of the spherically symmetric time-dependent Hartree-Fock approximation applied in the case of nuclear giant monopole resonances in the small and large amplitude regimes. The problem is spatially unbounded as the resonance state is in the continuum. The practical requirement to perform the calculation in a finite-sized spatial region results in a difficulty with the spatial boundary conditions. Here we propose an absorbing boundary condition scheme to handle the conflict. The derivation, via a Laplace transform method, and implementation is described. The accuracy and efficiency of the scheme is tested and the results presented to support the case that they are a effective way of handling the artificial boundary. © 2013 American Physical Society.
15719604
Do Skyrme forces that fit nuclear matter work well in finite nuclei
A short list of Skyrme force parameterizations, recently found to have passed a series of constraints relating to nuclear matter properties is analyzed for their ability to reproduce data in ﬁnite nuclei. We analyse binding energies, isotope shifts, neutron skin thicknesses and ﬁssion barriers. We ﬁnd that the subset of forces have no common ability to reproduce(or otherwise)properties of ﬁnite nuclei, despite passing the extensive range of nuclear matter constraints.
11864210
Configuration dependence of K-forbidden transition rates from three-quasiparticle isomers
Reduced hindrance factors for K-forbidden E2 transitions from two- and three-quasiparticle isomers in the Aapprox =180 deformed region are compared. Evidence is presented that when all three quasiparticles are of the same nucleon type (proton or neutron) there is a strong dependence of the E2 reduced hindrance factor on the isomer excitation energy.
17333676
Isoscalar and Isovector Giant Monopole Resonances from a Continuum Hartree-Fock Method
We motivate and summarise some recent results in the application of formally exact boundary conditions in nuclear time-dependent Hartree-Fock calculations, mak- ing use of Laplace transformations to calculate the values of the wave functions at the boundaries. We have realised the method in the case of giant monopole resonances of spherically-symmetric nuclei, and present strength functions of 16 O and 40 Ca using a sim- plified version of the Skyrme force, showing that no artefacts from discretisation occur as contaminatnts
118334826
The Lipkin-Meshkov-Glick model: 'quasi-local' quantum criticality in nuclear physics
Motivated by recent work on local quantum criticality in condensed matter systems, we study the Lipkin-Meshkov-Glick (LMG) model of nuclear physics as a simple model of a kind of 'quasi-local' quantum criticality. We identify a new crossover temperature, T*(V,W), between linear and nonlinear dynamics, which is analogous to the crossover between the renormalized classical and quantum critical regimes in the condensed-matter case. This temperature T* typically vanishes logarithmically as the quantum phase transition is approached, except near the quantum tricritical point where it becomes linear. We also note a further analogy with condensed-matter quantum criticality: the LMG model exhibits quantum order-by-disorder phenomena, of the type often associated with phase reconstruction near quantum critical points.
17579087
The Banks-Zaks Expansion and "Freezing" in Perturbative QCD
The recent calculation of the four-loop beta function in QCD provides further evidence that the Banks-Zaks expansion in 16half-n_f is sufficiently well behaved to be useful even for n_f=2 light flavours. This expansion inherently predicts "freezing" of the QCD couplant at low energies as a perturbative effect. We consider the e+e- and Bjorken-sum-rule cases as examples.
120633210
Comments on the Sterman-Weinberg jet formula
Abstract A simple derivation of the Sterman-Weinberg jet formula (the QCD perturbation theory formula for the 2-jet cross section) is described. Conditions on the jet parameters ϵ and δ for this formula to be applicable are discussed and the corrections to the formula up to O(ϵ 2 ), O(δ 2 ) are presented.
122007301
Gaussian-effective-potential studies of fermion-scalar theories
AbstractWe study some rather general 1+1 dimensional fermion-scalar models containing fourfermion terms, using the Gaussian-effective-potential (GEP) approach. Model I has a Yukawa
$$\left( {\phi \bar \psi \psi } \right)$$
 coupling, and possesses a continuous chiral symmetry. Model II has a
$$\phi ^2 \bar \psi \psi $$
 coupling, preserving theO(N) symmetry of the scalar sector. For each model two distinct kinds of renormalization are possible: in “case A” the fermion-scalar and four-fermion bare coupling constants may remain finite; in “case B” the bare couplings take on particular infinitesimal forms. For model I, the chiral symmetry is unbroken in case A, but spontaneously broken in case B. There are parallels with GEP studies of (λφ4)4 theory, where two distinct renormalizations (“autonomous” and “precarious”) are also found.
332690
The role of non‐spesctator interactions in charm and bottom decays
The role of annihilation and exchange diagrams in charmed messon, Λc+ and B‐meson decays is analyzed.
123093258
QCD and final-state jet measures in leptoproduction
Abstract Various infrared-safe measures of jet-like-ness in leptoproduction are studied in QCD perturbation theory using a general formalism. This quantifies the effects predicted in a previous paper. The nucleon remnants jet is found to be distinctly narrower than the quark jet.