Chiral Effective Field Theory Analysis of Hadronic Parity Violation in Few-nucleon Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Chiral Effective Field Theory Analysis of Hadronic Parity Violation in Few-nucleon Systems PDF full book. Access full book title Chiral Effective Field Theory Analysis of Hadronic Parity Violation in Few-nucleon Systems by . Download full books in PDF and EPUB format.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Weak interactions between quarks induce a parity-violating (PV) component in the nucleon-nucleon potential, whose effects are currently being studied in a number of experiments involving few-nucleon systems. In the present work, we reconsider the derivation of this PV component within a chiral effective field theory (${\chi }$EFT) framework. Purpose: The objectives of the present work are twofold. The first is to perform a detailed analysis of the PV nucleon-nucleon potential up to next-to-next-to-leading (N2LO) order in the chiral expansion, in particular, by determining the number of independent low-energy constants (LECs) at N2LO. The second objective is to investigate PV effects in a number of few-nucleon observables, including the $\vec{p}$-p longitudinal asymmetry, the neutron spin rotation in n-p and n-d scattering, and the longitudinal asymmetry in the 3He($\vec{n}$, p)3H charge-exchange reaction. Methods: The ${\chi }$EFT PV potential includes one-pion-exchange, two-pion-exchange, and contact terms as well as 1/M (M being the nucleon mass) nonstatic corrections. Dimensional regularization is used to renormalize pion loops. The wave functions for the A=2-4 nuclei are obtained by using strong two- and three-body potentials also derived, for consistency, from ${\chi }$EFT. In the case of the A=3-4 systems, systems, the wave functions are computed by expanding on a hyperspherical harmonics functions basis. Results: We find that the PV potential at N2LO depends on six LECs: the pion-nucleon PV coupling constant h$1\atop{{u03C0}}$ and five parameters multiplying contact interactions. An estimate for the range of values of the various LECs is provided by using available experimental data, and these values are used to obtain predictions for the other PV observables. Conclusions: The ${\chi }$EFT approach provides a very satisfactory framework to analyze PV effects in few-nucleon systems.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Weak interactions between quarks induce a parity-violating (PV) component in the nucleon-nucleon potential, whose effects are currently being studied in a number of experiments involving few-nucleon systems. In the present work, we reconsider the derivation of this PV component within a chiral effective field theory (${\chi }$EFT) framework. Purpose: The objectives of the present work are twofold. The first is to perform a detailed analysis of the PV nucleon-nucleon potential up to next-to-next-to-leading (N2LO) order in the chiral expansion, in particular, by determining the number of independent low-energy constants (LECs) at N2LO. The second objective is to investigate PV effects in a number of few-nucleon observables, including the $\vec{p}$-p longitudinal asymmetry, the neutron spin rotation in n-p and n-d scattering, and the longitudinal asymmetry in the 3He($\vec{n}$, p)3H charge-exchange reaction. Methods: The ${\chi }$EFT PV potential includes one-pion-exchange, two-pion-exchange, and contact terms as well as 1/M (M being the nucleon mass) nonstatic corrections. Dimensional regularization is used to renormalize pion loops. The wave functions for the A=2-4 nuclei are obtained by using strong two- and three-body potentials also derived, for consistency, from ${\chi }$EFT. In the case of the A=3-4 systems, systems, the wave functions are computed by expanding on a hyperspherical harmonics functions basis. Results: We find that the PV potential at N2LO depends on six LECs: the pion-nucleon PV coupling constant h$1\atop{{u03C0}}$ and five parameters multiplying contact interactions. An estimate for the range of values of the various LECs is provided by using available experimental data, and these values are used to obtain predictions for the other PV observables. Conclusions: The ${\chi }$EFT approach provides a very satisfactory framework to analyze PV effects in few-nucleon systems.
Author: Evgeny Epelbaum
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Chiral Effective Field Theory (EFT) has become a standard tool for analyzing the properties of hadronic systems at low energy in a systematic and controlled way based upon the approximate and spontaneously broken chiral symmetry of Quantum Chromodynamics (QCD). Based on Weinberg's idea to use chiral EFT to derive nuclear forces, this method has also been successfully applied to a few-nucleon problems. Energy-independent and hermitian nuclear potentials can be derived from the chiral Lagrangian e.g. using the method of unitary transformation. This scheme can also be applied to derive the corresponding nuclear current operator. They have used this framework to study the 2N system at next-to-next-to-next-to-leading order (N3LO) in the chiral expansion. The theoretical uncertainty for scattering observables at N3LO is expected to be of the order (almost equal to) 0.5%, 7% and 25% at laboratory energy (almost equal to) 50, 150 and 250 MeV. The findings agree well with these estimations. Three- and more-nucleon systems have been considered so far up to next-to-next-to-leading order. For the first time, the complete chiral three-nucleon force has been included in few-body calculations, which starts to contribute at this order. N3LO analysis of> 2N systems is in progress. Recently they have worked out the leading and subleading isospin-violating 3N forces using the method of unitary transformation, which are largely driven by nucleon and pion mass differences. The work on isospin-breaking 2N forces is underway.
Author: Li-sheng Geng
Publisher: World Scientific
ISBN: 9814618233
Category : Science
Languages : en
Pages : 258
Get Book Here
Book Description
This proceedings volume collected papers presented at a recent symposium on Chiral Symmetry in Hadrons and Nuclei — the seventh in a series of international symposia — with an aim of providing a platform for discussions among the experts and an overview of the present status in the hadron and nuclear physics related to the chiral symmetry.The recent past years have seen a remarkable progress towards a unified description of nonperturbative strong interaction phenomena based on the fundamental theory of the strong interaction, Quantum ChromoDynamics, and Effective Field Theories. The topics discussed in these proceedings include: chiral and heavy-quark spin symmetry; chiral dynamics of few-body hadron systems; chiral symmetry and hadrons in a nuclear medium; chiral dynamics in nucleon-nucleon interaction and atomic nuclei; chiral symmetry in rotating nuclei; hadron structure and interactions; exotic hadrons, heavy flavor hadrons and nuclei; mesonic atoms and nuclei.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
I discuss the leading and subleading isospin--breaking three-nucleon forces in the chiral effective field theory framework.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
We outline the structure of the nuclear force in the framework of chiral effective field theory of QCD and review recent applications to processes involving few nucleons.
Author: Erasmo Ferreira
Publisher: World Scientific
ISBN: 9814546348
Category :
Languages : en
Pages : 462
Get Book Here
Book Description
The study of QCD in the confinement regime poses some of the most difficult problems of fundamental physics at present. The mechanism of confinement is not yet understood, and it is hard to investigate the properties of the fundamental theory in the determination of the structures and interactions of hadronic systems. As a consequence of these difficulties, the frontier between effective and fundamental theories has been intensively investigated in the last few years, and progress has been achieved in several directions. The 'Hadron Physics' workshop gathered together experts who have been taking the lead in these developments in recent years. Four sets of lectures were presented, providing a pedagogical and updated basis that gives support to research work in frontier problems. This book puts together the main current methods in the study of the properties of hadrons. The perspective of future developments based on different approaches can then be more clearly perceived.
Author: Serge Kox
Publisher: Springer Science & Business Media
ISBN: 3540263454
Category : Science
Languages : en
Pages : 198
Get Book Here
Book Description
Almost 50 years after the proposal of Lee and Young in 1956 to test the hypothesis of parity violation in weak interactions and the subsequent experimental verification of parity violation by C. S. Wu, parity violation has today become a useful property of weak interactions. This is due to the fact that the focus nowadays has changed: parity violation in weak interactions is no more a topic of investigation but is used as a tool in many different fields ranging from nuclear physics to the search for the hidden extra dimensions requested by string theory. For our first workshop which took place June 5-8, 2002, at the Institut fiir Ke- physik of the Johannes Gutenberg-Universitat Mainz, we concentrated on the in vestigation of the strangeness contribution in the nucleon. This book contains the refereed and selected papers of the second workshop "From Parity Violation to Hadron Structure and more (Part II)", which took place June 8-11, in the Labo- toire de Physique Subatomique et de Cosmologie, in Grenoble. These papers appear in EPJAdirect, the electronic-only part of EPJA, and they are accessible without restrictions. They will also appear in printed form and can be ordered through Springer. The excellent presentations show the dramatic and steady progress in the accuracy of measured parity violating asymmetries over the last few years.
Author: Sidney Dos Santos Avancini
Publisher: World Scientific
ISBN: 9814543667
Category :
Languages : en
Pages : 486
Get Book Here
Book Description
The study of QCD in the confinement regime poses some of the most difficult problems of fundamental physics at present. The mechanism of confinement itself is not described formally, and it is hard to investigate the properties of the fundamental theory in the determination of the structures and interactions of hadronic systems. The strong coupling and the extreme non-linearity of the theory severely limit the applicability and the extension and generalization of models and methods. The area of particle/nuclear physics called Hadron Physics deals with the phenomena determined by the confinement regime of QCD.The International Workshop on Hadron Physics 98 aimed to provide a framework for the comparative evaluation of different approaches to the difficult problems of QCD, and gathered together experts who have been leading developments in hadronic physics in recent years. As a central feature of the workshop program, there were four sets of lectures: (1) “An Introduction to Effective Field Theory” (J F Donoghue); (2) “Non-perturbative QCD” (A Di Giacomo); (3) “Diffraction: Past, Present and Future” (E Predazzi); “QCD at High Temperature and Density” (T Hatsuda). These courses provided a pedagogical and updated account of the recent developments that gave support to the discussion of frontier research problems. The lecturers did very useful work in the review and description of important lines of research.The lectures are reproduced in this book, together with invited talks and contributed papers dealing with specific research problems, for the use and appreciation of a wider audience.
Author: K. de Jager
Publisher: Springer Science & Business Media
ISBN: 3540744134
Category : Science
Languages : en
Pages : 256
Get Book Here
Book Description
This book contains the proceedings of the third international workshop on From Parity Violation to Hadronic Structure and More. The many applications of parity violation are way beyond the scope of what Lee and Yang could have imagined fifty years after their proposal. For the physics topics discussed during this workshop, the application of parity violation has become a standard work horse allowing for the extraction of many physics topics in different experiments.
Author: Samirnath Mallik
Publisher: Cambridge University Press
ISBN: 1108107915
Category : Science
Languages : en
Pages : 267
Get Book Here
Book Description
High energy laboratories are performing experiments in heavy ion collisions to explore the structure of matter at high temperature and density. This elementary book explains the basic ideas involved in the theoretical analysis of these experimental data. It first develops two topics needed for this purpose, namely hadron interactions and thermal field theory. Chiral perturbation theory is developed to describe hadron interactions and thermal field theory is formulated in the real-time method. In particular, spectral form of thermal propagators is derived for fields of arbitrary spin and used to calculate loop integrals. These developments are then applied to find quark condensate and hadron parameters in medium, including dilepton production. Finally, the non-equilibrium method of statistical field theory to calculate transport coefficients is reviewed. With technical details explained in the text and appendices, this book should be accessible to researchers as well as graduate students interested in thermal field theory.
