2,893 research outputs found
Renormalized QCD-inspired model for the pion and mesons
We apply the subtraction method to an effective QCD-inspired model, which
includes the Coulomb plus a zero-range hyperfine interactions, to define a
renormalized Hamiltonian for mesons. The spectrum of the renormalized
Hamiltonian agrees with the one obtained with a smeared hyperfine interaction.
The masses of the low-lying pseudo scalar and vector mesons are reasonably
described within the model.Comment: 5 pages, 3 figures, 5 references. To be published in Nucl. Phys. B
(Proc. Suppl.) Talk presented at the Workshop "Light-cone Physics: Particles
and Strings" at ECT* in Trento, Sep 3-11, 200
Solving the inhomogeneous Bethe-Salpeter Equation in Minkowski space: the zero-energy limit
For the first time, the inhomogeneous Bethe-Salpeter Equation for an
interacting system, composed by two massive scalars exchanging a massive
scalar, is numerically investigated in ladder approximation, directly in
Minkowski space, by using an approach based on the Nakanishi integral
representation. In this paper, the limiting case of zero-energy states is
considered, extending the approach successfully applied to bound states. The
numerical values of scattering lengths, are calculated for several values of
the Yukawa coupling constant, by using two different integral equations that
stem within the Nakanishi framework. Those low-energy observables are compared
with (i) the analogous quantities recently obtained in literature, within a
totally different framework and (ii) the non relativistic evaluations, for
illustrating the relevance of a non perturbative, genuine field theoretical
treatment in Minkowski space, even in the low-energy regime. Moreover,
dynamical functions, like the Nakanishi weight functions and the distorted part
of the zero-energy Light-front wave functions are also presented.
Interestingly, a highly non trivial issue related to the abrupt change in the
width of the support of the Nakanishi weight function, when the zero-energy
limit is approached, is elucidated, ensuring a sound basis to the forthcoming
evaluation of phase-shifts.Comment: 23 pages and 4 figures. Minor changes in the abstract, typos fixed
and added a figure. Submitted for publicatio
Radii in weakly-bound light halo nuclei
A systematic study of the root-mean-square distance between the constituents
of weakly-bound nuclei consisting of two halo neutrons and a core is performed
using a renormalized zero-range model. The radii are obtained from a universal
scaling function that depends on the mass ratio of the neutron and the core, as
well as on the nature of the subsystems, bound or virtual. Our calculations are
qualitatively consistent with recent data for the neutron-neutron
root-mean-square distance in the halo of Li and Be nuclei
Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
By introducing a mass asymmetry in a non-Borromean three-body system, without
changing the energy relations, the virtual state pole cannot move from the
negative real axis of the complex energy plane (with nonzero width) and become
a resonance, because the analytical structure of the unitarity cuts remains the
same.Comment: To be published in PR
Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
We prove a Noether type symmetry theorem to fractional problems of the
calculus of variations with classical and Riemann-Liouville derivatives. As
result, we obtain constants of motion (in the classical sense) that are valid
along the mixed classical/fractional Euler-Lagrange extremals. Both Lagrangian
and Hamiltonian versions of the Noether theorem are obtained. Finally, we
extend our Noether's theorem to more general problems of optimal control with
classical and Riemann-Liouville derivatives.Comment: This is a preprint of a paper whose final and definite form will be
published in: 51st IEEE Conference on Decision and Control, December 10-13,
2012, Maui, Hawaii, USA. Article Source/Identifier: PLZ-CDC12.1832.45c07804.
Submitted 08-March-2012; accepted 17-July-2012. arXiv admin note: text
overlap with arXiv:1001.450
Influence of pions on the hadron-quark phase transition
In this work we present the features of the hadron-quark phase transition
diagrams in which the pions are included in the system. To construct such
diagrams we use two different models in the description of the hadronic and
quark sectors. At the quark level, we consider two distinct parametrizations of
the Polyakov-Nambu-Jona-Lasinio (PNJL) models. In the hadronic side, we use a
well known relativistic mean-field (RMF) nonlinear Walecka model. We show that
the effect of the pions on the hadron-quark phase diagrams is to move the
critical end point (CEP) of the transitions lines. Such an effect also depends
on the value of the critical temperature (T_0) in the pure gauge sector used to
parametrize the PNJL models. Here we treat the phase transitions using two
values for T_0, namely, T_0 = 270 MeV and T_0 = 190 MeV. The last value is used
to reproduce lattice QCD data for the transition temperature at zero chemical
potential.Comment: 3 pages. Proceedings of XXXV Reuni\~ao de Trabalhos sobre F\'isica
Nuclear no Brasil 201
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