Dr Carlo Barbieri
Carlo Barbieri Personal Research Page
Module leader for PHYM038 Non-Linear Physics
Programme Leader Maths & Physics
University roles and responsibilities
- Exam Officer
For all those processes, current research in nuclear astrophysics addresses the need for more precise reaction data involving radioactive isotopes. Depending on the particular reaction, direct or inverse kinematics, forward or time-reversed direction are investigated to determine or at least to constrain the desired reaction cross sections.
The Facility for Antiproton and Ion Research (FAIR) will offer unique, unprecedented opportunities to investigate many of the important reactions. The high yield of radioactive isotopes, even far away from the valley of stability, allows the investigation of isotopes involved in processes as exotic as the r or rp processes.
realistic nucleon-nucleon interaction is used to evaluate correlation energies
in closed-shell nuclei beyond the Hartree-Fock level. The relevance of
contributions associated with charge exchange excitations as well as the
necessity to correct for the double counting of the second order contribution
to the RPA ring summation are emphasized. Once these effects are properly
accounted for, the RPA ring summation provides an efficient tool to assess the
impact of long-range correlations on binding energies throughout the whole
nuclear chart, which is of particular importance when starting from realistic
2, Physical Review C 97 (2) 021303(R) American Physical Society
40Ca, based on two-nucleon potentials derived from Lattice QCD simulations, in the flavor SU(3) limit and at
the pseudo-scalar meson mass of 469 MeV/c
. The nucleon-nucleon interaction is obtained using the HAL QCD
method and its short-distance repulsion is treated by means of ladder resummations outside the model space.
Our results show that this approach diagonalises ultraviolet degrees of freedom correctly. Therefore, ground
state energies can be obtained from infrared extrapolations even for the relatively hard potentials of HAL QCD.
Comparing to previous Brueckner Hartree-Fock calculations, the total binding energies are sensibly improved
by the full account of many-body correlations. The results suggest an interesting possible behaviour in which
nuclei are unbound at very large pion masses and islands of stability appear at first around the traditional doublymagic
numbers when the pion mass is lowered toward its physical value. The calculated one-nucleon spectral
distributions are qualitatively close to those of real nuclei even for the pseudo-scalar meson mass considered
Self-consistent Green?s function theory has recently been extended to the basic formalism needed
to account for three-body interactions [A. Carbone, A. Cipollone, C. Barbieri, A. Rios, and A. Polls, Phys. Rev.
C 88, 054326 (2013)]. The contribution of three-nucleon forces has then been included in ab initio calculations
on nuclear matter and isotopic chains of finite nuclei.
ractical applications across post Hartree-Fock methods have mostly considered the contribution of
three-nucleon interactions in an effective way, as averaged two-nucleon forces. We derive the working equations
for all possible two- and three-nucleon terms that enter the expansion of the self-energy, including interactionirreducible
(i.e. not averaged) three-nucleon diagrams.
We employ the algebraic diagrammatic construction up to third order as the organization scheme for
generating a non perturbative self-energy, in which ring (particle-hole) and ladder (particle-particle) diagrams are
resummed to all orders.
We derive expressions of the static and dynamic self-energy up to third order, by taking into account
also the set of diagrams required when the skeleton expansion of the single-particle propagator is not assumed. A
hierarchy of importance among different diagrams is revealed, and a particular emphasis is given to a third-order
diagram (see Fig. 2c) which is expected to play a significant role among those featuring an interaction-irreducible
A consistent formalism to resum at infinite order correlations induced by three-nucleon forces in the
self-consistent Green?s function theory is now available, and ready to be implemented in the many-body solvers.
Work is in progress to include the first interaction-irreducible three-nucleon diagram in calculations of closed-shell
was performed at TRIUMF?s Ion Trap for Atomic and Nuclear science (TITAN). The range of the measurements covers the
shell closure, and the overall uncertainties of the
mass values were significantly reduced. Our results conclusively establish the existence of the weak shell effect at
, narrowing down the abrupt onset of this shell closure. Our data were compared with state-of-the-art ab initio shell model calculations which, despite very successfully describing where the
shell gap is strong, overpredict its strength and extent in titanium and heavier isotones. These measurements also represent the first scientific results of TITAN using the newly commissioned multiple-reflection time-of-flight mass spectrometer, substantiated by independent measurements from TITAN?s Penning trap mass spectrometer.
study of the structure of stable and exotic oxygen isotopes at the R3B=LAND setup with incident beam
energies in the range of 300?450 MeV=u. The oxygen isotopic chain offers a large variation of separation
energies that allows for a quantitative understanding of single-particle strength with changing isospin
asymmetry. Quasifree knockout reactions provide a complementary approach to intermediate-energy onenucleon
removal reactions. Inclusive cross sections for quasifree knockout reactions of the type
AOðp; 2pÞA?1N have been determined and compared to calculations based on the eikonal reaction theory.
The reduction factors for the single-particle strength with respect to the independent-particle model were
obtained and compared to state-of-the-art ab initio predictions. The results do not show any significant
dependence on proton-neutron asymmetry.
obtained within the self-consistent Green's function approach. The removal of the center-of-mass contribution for both nuclei has been performed by using a metropolis Monte Carlo algorithm in which the center-of-mass coordinate can be exactly subtracted from the optimal reference state wave function generated during the self-consistent Green's function calculations. The spectral functions of the same two nuclei have been used to compute inclusive electron-nucleus cross sections. The formalism adopted is based on the factorization of the spectral function and the nuclear transition matrix elements. This allows us to provide an accurate description of nuclear dynamics and to account for relativistic effects in the interaction vertex. When final-state interactions for the struck particle are accounted for, we find nice agreement between the data and the theory for the inclusive electron-
cross section. The results lay the foundations for future applications of the self-consistent Green's function method, in both closed and open shell nuclei, to neutrino data analysis.