150 research outputs found
Effective interactions for light nuclei: an effective (field theory) approach
One of the central open problems in nuclear physics is the construction of
effective interactions suitable for many-body calculations. We discuss a
recently developed approach to this problem, where one starts with an effective
field theory containing only fermion fields and formulated directly in a
no-core shell-model space. We present applications to light nuclei and to
systems of a few atoms in a harmonic-oscillator trap. Future applications and
extensions, as well as challenges, are also considered
Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
No-Core Gamow Shell Model (NCGSM) is applied for the first time to study
selected well-bound and unbound states of helium isotopes. This model is
formulated on the complex energy plane and, by using a complete Berggren
ensemble, treats bound, resonant, and scattering states on equal footing. We
use the Density Matrix Renormalization Group method to solve the many-body
Schr\"{o}dinger equation. To test the validity of our approach, we benchmarked
the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for
H and He nuclei. We also performed {\textit ab initio} NCGSM
calculations for the unstable nucleus He and determined the ground state
energy and decay width, starting from a realistic NLO chiral interaction.Comment: 17 pages, 14 figures. Revised version. Discussion on microscopic
overlap functions, SFs and ANCs is added. Added references. Accepted for
publication at PR
Three and Four Harmonically Trapped Particles in an Effective Field Theory Framework
We study systems of few two-component fermions interacting via short-range
interactions within a harmonic-oscillator trap. The dominant interactions,
which are two-body, are organized according to the number of derivatives and
defined in a two-body truncated model space made from a bound-state basis.
Leading-order (LO) interactions are solved for exactly using the formalism of
the No-Core Shell Model, whereas corrections are treated as many-body
perturbations. We show explicitly that next-to-LO and next-to-next-to-LO
interactions improve convergence as the model space increases. We present
results at unitarity for three- and four-fermion systems, which show excellent
agreement with the exact solution (for the three-body problem) and results
obtained by others methods (in the four-body case). We also present results for
finite scattering lengths and non-zero range of the interaction, including (at
positive scattering length) observation of a change in the structure of the
three-body ground state and extraction of the atom-dimer scattering length.Comment: 18 pages, 10 figure
Antibound States and Halo Formation in the Gamow Shell Model
The open quantum system formulation of the nuclear shell model, the so-called
Gamow Shell Model (GSM), is a multi-configurational SM that employs a
single-particle basis given by the Berggren ensemble consisting of Gamow states
and the non-resonant continuum of scattering states. The GSM is of particular
importance for weakly bound/unbound nuclear states where both many-body
correlations and the coupling to decay channels are essential. In this context,
we investigate the role of l=0 antibound (virtual) neutron single-particle
states in the shell model description of loosely bound wave functions, such as
the ground state wave function of a halo nucleus 11Li
Two and Three Nucleons in a Trap and the Continuum Limit
We describe systems of two and three nucleons trapped in a
harmonic-oscillator potential with interactions from the pionless effective
field theory up to next-to-leading order (NLO). We construct the two-nucleon
interaction using two-nucleon scattering information. We calculate the trapped
levels in the three-nucleon system with isospin and determine the
three-nucleon force needed for stability of the triton. We extract
neutron-deuteron phase shifts, and show that the quartet scattering length is
in good agreement with experimental data.Comment: 19 pages, 15 figure
Toward a complete theory for predicting inclusive deuteron breakup away from stability
We present an account of the current status of the theoretical treatment of
inclusive reactions in the breakup-fusion formalism, pointing to some
applications and making the connection with current experimental capabilities.
Three independent implementations of the reaction formalism have been recently
developed, making use of different numerical strategies. The codes also
originally relied on two different but equivalent representations, namely the
prior (Udagawa-Tamura, UT) and the post (Ichimura-Austern-Vincent, IAV)
representations.
The different implementations have been benchmarked, and then applied to the
Ca isotopic chain. The neutron-Ca propagator is described in the Dispersive
Optical Model (DOM) framework, and the interplay between elastic breakup (EB)
and non-elastic breakup (NEB) is studied for three Ca isotopes at two different
bombarding energies. The accuracy of the description of different reaction
observables is assessed by comparing with experimental data of on
Ca. We discuss the predictions of the model for the extreme case of
an isotope (Ca) currently unavailable experimentally, though possibly
available in future facilities (nominally within production reach at FRIB). We
explore the use of reactions as surrogates for processes,
by using the formalism to describe the compound nucleus formation in a
reaction as a function of excitation energy, spin, and parity.
The subsequent decay is then computed within a Hauser-Feshbach formalism.
Comparisons between the and induced gamma decay
spectra are discussed to inform efforts to infer neutron captures from
reactions. Finally, we identify areas of opportunity for future
developments, and discuss a possible path toward a predictive reaction theory
Three particles in a finite volume: The breakdown of spherical symmetry
Lattice simulations of light nuclei necessarily take place in finite volumes,
thus affecting their infrared properties. These effects can be addressed in a
model-independent manner using Effective Field Theories. We study the model
case of three identical bosons (mass m) with resonant two-body interactions in
a cubic box with periodic boundary conditions, which can also be generalized to
the three-nucleon system in a straightforward manner. Our results allow for the
removal of finite volume effects from lattice results as well as the
determination of infinite volume scattering parameters from the volume
dependence of the spectrum. We study the volume dependence of several states
below the break-up threshold, spanning one order of magnitude in the binding
energy in the infinite volume, for box side lengths L between the two-body
scattering length a and L = 0.25a. For example, a state with a three-body
energy of -3/(ma^2) in the infinite volume has been shifted to -10/(ma^2) at L
= a. Special emphasis is put on the consequences of the breakdown of spherical
symmetry and several ways to perturbatively treat the ensuing partial wave
admixtures. We find their contributions to be on the sub-percent level compared
to the strong volume dependence of the S-wave component. For shallow bound
states, we find a transition to boson-diboson scattering behavior when
decreasing the size of the finite volume.Comment: 21 pages, 4 figures, 2 table
Whole genome duplication is an early event leading to aneuploidy in -wild type glioblastoma
Glioblastoma, the most frequent and lethal form of glioma, displays chromosome instability and recurrent somatic copy number alterations (SCNA). Chromothripsis and whole genome duplication (WGD) have been recently identified in cancer. In the present study, we analyzed SCNA and determine the ploidy pattern in 123 -wild-type glioblastomas, using SNP array data. WGD and chromothripsis events were validated using, respectively, FISH and CTLPScanner. WGD was detected in 11.4% glioblastomas (14/123) and was associated with mutation ( = 0.0068). It was an early event occurring after the recurrent SCNA observed in diffuse high-grade gliomas. Glioblastomas with WGD were more aneuploid compared to glioblastomas without WGD ( < 0.0001). Chromothripsis occurred in 29.3% glioblastomas (36/123) and mostly affected chromosomes 7, 9 and 12, with amplification of oncogenes (EGFR, /), and homozygous deletion of tumor suppressor genes (). There was a significant association between chromothripsis and gene rearrangement at a given locus. WGD is an early genetic event significantly associated to mutation and leading to chromosome instability and aneuploidy in -wild-type glioblastoma. Chromothripsis recurrently targets oncogenes and tumor suppressor genes that are key players in gliomagenesis and tumor progression. The occurrence of chromothripsis points to underlying gene rearrangements (including gene fusions), potential therapeutic targets in glioblastoma
Living on the edge of stability, the limits of the nuclear landscape
A first-principles description of nuclear systems along the drip lines
presents a substantial theoretical and computational challenge. In this paper,
we discuss the nuclear theory roadmap, some of the key theoretical approaches,
and present selected results with a focus on long isotopic chains. An important
conclusion, which consistently emerges from these theoretical analyses, is that
three-nucleon forces are crucial for both global nuclear properties and
detailed nuclear structure, and that many-body correlations due to the coupling
to the particle continuum are essential as one approaches particle drip lines.
In the quest for a comprehensive nuclear theory, high performance computing
plays a key role.Comment: Contribution to proceedings of Nobel Symposium 152: Physics with
radioactive beams, June 2012, Gothenburg, Swede
Three-Body Halo States in Effective Field Theory: Renormalization and Three-Body Interactions in the Helium-6 System
In this paper we study the renormalization of Halo effective field theory applied to the Helium-6 halo nucleus seen as an alpha-neutron-neutron three-body state. We include the 0(+) dineutron channel together with both the 3/2(-) and 1/2(-) neutron-alpha channels into the field theory and study all of the six lowest-order three-body interactions that are present. Furthermore, we discuss three different prescriptions to handle the unphysical poles in the P-wave two-body sector. In the simpler field theory without the 1/2(-) channel present we find that the bound-state spectrum of the field theory is renormalized by the inclusion of a single three-body interaction. However, in the field theory with both the 3/2(-) and 1/2(-) included, the system can not be renormalized by only one three-body operator
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