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The cross sections for low-energy neutrino-deuteron reactions are calculated within heavy-baryon chiral perturbation theory employing cut-off regularization scheme. The transition operators are derived up to next-to-next-to-next-to-leading…

Nuclear Theory · Physics 2009-11-07 S. Ando , Y. H. Song , T. -S. Park , H. W. Fearing , K. Kubodera

Utilizing the Foldy-Wouthuysen representation, we use a bottom-up approach to construct heavy-baryon Lagrangian terms, without employing a relativistic Lagrangian as the starting point. The couplings obtained this way feature a…

High Energy Physics - Phenomenology · Physics 2011-05-05 Bingwei Long , Vadim Lensky

After a brief survey of effective field theories, the linear sigma model is discussed as a prototype of an effective field theory of the standard model below the chiral-symmetry-breaking scale. Although it can serve as a toy model for the…

High Energy Physics - Phenomenology · Physics 2011-04-15 G. Ecker

In the low-energy region far below the chiral symmetry breaking scale (which is of the order of 1 GeV) chiral perturbation theory provides a model-independent approach for quantitative description of nuclear processes. In the two- and…

High Energy Physics - Lattice · Physics 2016-08-14 Hermann Krebs , Bugra Borasoy , Evgeny Epelbaum , Dean Lee , Ulf-G. Meißner

Nuclear electromagnetic currents derived in a chiral-effective-field-theory framework including explicit nucleons, $\Delta$ isobars, and pions up to N$^2$LO, {\it i.e.} ignoring loop corrections, are used in a study of neutron radiative…

Nuclear Theory · Physics 2014-11-18 S. Pastore , R. Schiavilla , J. L. Goity

A density-dependent effective potential for the baryon-baryon interaction in the presence of the (hyper)nuclear medium is constructed, based on the leading (irreducible) three-baryon forces derived within SU(3) chiral effective field…

It is argued that Weinberg's approach to the nucleon-nucleon (NN) interaction problem within effective field theory provides a consistent power counting for renormalized diagrams. Within this scheme the NN potential is organized as an…

Nuclear Theory · Physics 2009-11-10 J. Gegelia , S. Scherer

We review the effective field theories (EFTs) developed for few-nucleon systems. These EFTs are controlled expansions in momenta, where certain (leading-order) interactions are summed to all orders. At low energies, an EFT with only contact…

Nuclear Theory · Physics 2009-11-07 P. F. Bedaque , U. van Kolck

We study the finite temperature properties of an effective chiral Lagrangian which describes nuclear matter. Thermal fluctuations in both the nucleon and the meson fields are considered. The logarithmic and square root terms in the…

Nuclear Theory · Physics 2009-10-30 G. W. Carter , P. J. Ellis

We provide a consistent and complete calculation of the electric dipole moments of the deuteron, helion, and triton in the framework of chiral effective field theory. The CP-conserving and CP-violating interactions are treated on equal…

High Energy Physics - Phenomenology · Physics 2015-05-19 J. Bsaisou , J. de Vries , C. Hanhart , S. Liebig , Ulf-G. Meißner , D. Minossi , A. Nogga , A. Wirzba

An introduction to nuclear theory is given starting from the quantum chromodynamics foundations for quark and gluon fields, then discussing properties of pions and nucleons, interactions between nucleons, structure of the deuteron and light…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski

The relativistic field theory model of the deuteron (RFMD) is reformulated from the first principles of QCD. The deuteron appears as a neutron-proton collective excitation, i.e. a Cooper np-pair, induced by a phenomenological local…

Nuclear Theory · Physics 2007-05-23 A. N. Ivanov , H. Oberhummer , N. I. Troitskaya , M. Faber

We compute the nucleon matrix elements of QCD operators of twist 3 and 4 in the instanton vacuum. We consider the operators determining 1/Q^2-power corrections to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules. The nucleon is…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Balla , M. V. Polyakov , C. Weiss

We describe a model for pion production off nucleons and coherent pions from nuclei induced by neutrinos in the 1 GeV energy regime. Besides the dominant Delta pole contribution, it takes into account the effect of background terms required…

Nuclear Theory · Physics 2017-08-23 M. Valverde , J. E. Amaro , E. Hernandez , J. Nieves , M. J. Vicente Vacas

The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction…

Nuclear Theory · Physics 2008-11-26 Petr Navratil

Heavy hadron molecules were first theorized from a crude analogy with the deuteron and the nuclear forces binding it, a conjecture which was proven to be on the right track after the discovery of the $X(3872)$. However, this analogy with…

High Energy Physics - Phenomenology · Physics 2020-04-14 Manuel Pavon Valderrama

We investigate non-perturbative multi-pion contributions to nucleon flavor asymmetry within the framework of Light-Front Hamiltonian Effective Field Theory (LFHEFT). Utilizing a Fock sector expansion, we systematically incorporate pionic…

High Energy Physics - Phenomenology · Physics 2026-03-12 Xianghui Cao , Shan Cheng , Yihan Duan , Yang Li , Siqi Xu , Xingbo Zhao

After a general introduction to the structure of effective field theories, the main ingredients of chiral perturbation theory are reviewed. Applications include the light quark mass ratios and pion-pion scattering to two-loop accuracy. In…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gerhard Ecker

These lectures give an introduction to baryon chiral perturbation theory. I show in detail how to construct the chiral effective pion-nucleon Lagrangian in the one loop approximation. Particular emphasis is put on the physics related to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulf-G. Meißner

The uncoupled $P$-wave channels of nucleon-nucleon scattering are studied in an effective field theory (EFT) including a perturbative dibaryon field and perturbative pions. Good agreement between EFT results and the Nijmegen partial wave…

Nuclear Theory · Physics 2022-03-02 J. B. Habashi
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