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Title: Effective interactions from q-deformed quark fields

Abstract

From the mass term for q-deformed quark fields, we obtain effective contact interactions of the NJL type. The parameters of the model that maps a system of non-interacting deformed fields into quarks interacting via NJL contact terms is discussed.

Authors:
 [1];  [2]
  1. Centro Superior de Educacao Tecnologica, Universidade Estadual de Campinas, 13484-370, Limeira, SP (Brazil)
  2. Instituto de Fisica, Universidade de Sao Paulo, CP 66318, 05315-970, Sao Paulo, SP (Brazil)
Publication Date:
OSTI Identifier:
21054845
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 884; Journal Issue: 1; Conference: 6. Latin American symposium on nuclear physics and applications, Iguazu (Argentina), 3-7 Oct 2005; Other Information: DOI: 10.1063/1.2710609; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BASIC INTERACTIONS; QUARK MODEL; QUARK-QUARK INTERACTIONS; QUARKS; REST MASS

Citation Formats

Timoteo, V. S., and Lima, C. L.. Effective interactions from q-deformed quark fields. United States: N. p., 2007. Web. doi:10.1063/1.2710609.
Timoteo, V. S., & Lima, C. L.. Effective interactions from q-deformed quark fields. United States. doi:10.1063/1.2710609.
Timoteo, V. S., and Lima, C. L.. Mon . "Effective interactions from q-deformed quark fields". United States. doi:10.1063/1.2710609.
@article{osti_21054845,
title = {Effective interactions from q-deformed quark fields},
author = {Timoteo, V. S. and Lima, C. L.},
abstractNote = {From the mass term for q-deformed quark fields, we obtain effective contact interactions of the NJL type. The parameters of the model that maps a system of non-interacting deformed fields into quarks interacting via NJL contact terms is discussed.},
doi = {10.1063/1.2710609},
journal = {AIP Conference Proceedings},
number = 1,
volume = 884,
place = {United States},
year = {Mon Feb 12 00:00:00 EST 2007},
month = {Mon Feb 12 00:00:00 EST 2007}
}
  • We emphasize the essential requirements for dealing with zero-range interactions in few-body systems. In particular, we make clear how the {delta}-function potentials appearing in nonrelativistic derivations of boson-exchange interactions are to be treated in order to provide sound input for quark model calculations of hadron spectra. The necessity of an exact solution of the few-quark system under consideration appears absolutely imperative. This condition is not met by some hybrid quark models we have tested in our original paper. As a result they fail in describing the N and {delta} spectra. (c) 1999 The American Physical Society.
  • The hyperspherical adiabatic method is used to derive stability criteria for Bose-Einstein condensates in deformed external fields. An analytical approximation is obtained. For constant volume the highest stability is found for spherical traps. Analytical approximations to the stability criterion with and without zero point motion are derived. Extreme geometries of the field effectively confine the system to dimensions lower than three. As a function of deformation we compute the dimension to vary continuously between one and three. We derive a dimension-dependent effective radial Hamiltonian and investigate one choice of an effective interaction in the deformed case.
  • Effective chiral Lagrangians for strong, weak and electromagnetic-weak interactions of composite pseudoscalar, vector and axial-vector mesons are derived up to the fourth order in the chiral expansion from quark flavor dynamics based on the Nambu-Jona-Lasinio model. This approach completes earlier work on strong interaction and applies the path-integral bosonization method to the nonleptonic weak quark Lagrangian including the emission of structural photons. As illustrated, the bosonized weak and electromagnetic-weak Lagrangians are applied to the description of K [r arrow] [pi]([eta]) and K [r arrow] [pi]([eta])[gamma][sup [star]] transitions.
  • Tests of time-reversal symmetry at low and medium energies may be analyzed in the framework of effective hadronic interactions. Here, we consider the quark structure of hadrons to make a connection to the more fundamental degrees of freedom. It turns out that for {ital P}-even {ital T}-odd interactions hadronic matrix elements evaluated in terms of quark models give rise to factors of 2 to 5. Also, it is possible to relate the strength of the anomalous part of the effective {rho}-type {ital T}-odd {ital P}-even tensor coupling to quark structure effects. {copyright} {ital 1996 The American Physical Society.}
  • In this paper, we have obtained exact analytical solutions of the time-independent Dirac-Weyl equation for the charge carriers with q-deformed pseudoscalar magnetic barrier (PMB) in graphene by using the ansatz method. We have also found a solution that describes the left propagating wave function to calculation of the reflection and transmission coefficients using the Riemann’s equation. This allows us to conclude about the Dirac-Weyl equation with PMB and to understand quantum behavior of the Dirac fermions. Finally, some of the numerical results are shown, too.