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Recently, we have shown that the continuity equation for the nuclear vector and axial current operators acquires additional terms if the latter depend on the energy transfer. We analyze in detail the electromagnetic single-nucleon…

Nuclear Theory · Physics 2019-05-07 H. Krebs , E. Epelbaum , U. -G. Meißner

In this article, we review the status of the calculation of nuclear currents within chiral effective field theory. After formal discussion of the unitary transformation technique and its application to nuclear currents we will give all…

Nuclear Theory · Physics 2020-10-28 Hermann Krebs

Two-nucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on time-ordered perturbation theory, and accounts for cancellations between the contributions of irreducible…

Nuclear Theory · Physics 2016-03-21 A. Baroni , L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant one-body contribution using the method of unitary…

Nuclear Theory · Physics 2017-04-05 H. Krebs , E. Epelbaum , U. -G. Meißner

Since the pioneering work of Weinberg, Chiral Effective Field Theory ($\chi$EFT) has been widely and successfully utilized in nuclear physics to study many-nucleon interactions and associated electroweak currents. Nuclear $\chi$EFT has now…

Nuclear Theory · Physics 2021-11-17 Alessandro Baroni , Garrett B. King , Saori Pastore

Three-dimensional cutoff regulators are frequently employed in multi-nucleon calculations, but they violate chiral symmetry and Lorentz invariance. A cutoff regularization scheme is proposed to compensate systematically at subleading orders…

Nuclear Theory · Physics 2016-05-10 Bingwei Long , Ying Mei

Low-energy nuclear structure and reactions can be described in a systematically improvable way using the framework of chiral effective field theory. This requires solving the quantum mechanical many-body problem with regularized nuclear…

Nuclear Theory · Physics 2023-12-22 Hermann Krebs , Evgeny Epelbaum

The development of the chiral dynamics based description of nuclear electroweak currents is reviewed. Gerald E. (Gerry) Brown's role in basing theoretical nuclear physics on chiral Lagrangians is emphasized. Illustrative examples of the…

Nuclear Theory · Physics 2017-03-08 D. O. Riska , R. Schiavilla

We derive the leading one-loop contribution to the one-pion exchange and short-range two-nucleon electromagnetic current operator in the framework of chiral effective field theory. The derivation is carried out using the method of unitary…

Nuclear Theory · Physics 2013-05-29 S. Koelling , E. Epelbaum , H. Krebs , U. -G. Meißner

We review a new generation of nuclear forces derived in chiral effective field theory using the recently proposed semilocal regularization method. We outline the conceptual foundations of nuclear chiral effective field theory, discuss all…

Nuclear Theory · Physics 2019-11-28 E. Epelbaum , H. Krebs , P. Reinert

We consider an effective field theory of NN system in nuclear medium. The shallow bound states, which complicate the effective field theory analysis and lead to the large scattering length in the vacuum case do not exist in matter. We study…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Krippa

After outlining the basic ideas of nuclear chiral perturbation theory, I discuss its application, presenting three examples which I believe are of great current interest: (1) Exchange currents in those cases where the leading chiral-order…

Nuclear Theory · Physics 2007-05-23 K. Kubodera

Low-energy nuclear interactions have been extensively studied in the framework of chiral effective field theory. The corresponding potentials have been worked out using dimensional regularization to evaluate ultraviolet divergent loop…

Nuclear Theory · Physics 2023-11-21 Hermann Krebs , Evgeny Epelbaum

We extend our recent analyses of the nuclear vector, axial-vector and pseudoscalar currents and derive the leading one-loop corrections to the two-nucleon scalar current operator in the framework of chiral effective field theory using the…

Nuclear Theory · Physics 2020-10-28 Hermann Krebs , Evgeny Epelbaum , Ulf-G. Meißner

The low-energy effective field theory is constructed by integrating out Standard Model states with masses proximate to the electroweak scale. We report the equations of motion for this theory, including corrections due to higher dimensional…

High Energy Physics - Phenomenology · Physics 2019-07-10 Andreas Helset , Michael Trott

Recently, we have derived a two--nucleon potential and consistent nuclear electromagnetic currents in chiral effective field theory with pions and nucleons as explicit degrees of freedom. The calculation of the currents has been carried out…

Nuclear Theory · Physics 2015-05-14 L. Girlanda , S. Pastore , R. Schiavilla , M. Viviani

Chiral effective field theory allows one to calculate the response of few-nucleon systems to external currents, both for currents that can be probed in the Standard Model and ones that only exist in Standard-Model extensions. In combination…

High Energy Physics - Phenomenology · Physics 2019-03-28 Martin Hoferichter , Philipp Klos , Javier Menéndez , Achim Schwenk

In the modern description of nuclear forces based on chiral effective field theory, four-nucleon operators with unknown coupling constants appear. These couplings can be fixed by a fit to the low partial waves of neutron-proton scattering.…

Nuclear Theory · Physics 2011-07-19 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle , Charlotte Elster

A two-nucleon potential and consistent electromagnetic currents are derived in chiral effective field theory ($\chi$EFT) at, respectively, $Q^{2}$ (or N$^2$LO) and $e Q$ (or N$^3$LO), where $Q$ generically denotes the low-momentum scale and…

Nuclear Theory · Physics 2009-11-06 S. Pastore , L. Girlanda , R. Schiavilla , M. Viviani , R. B. Wiringa

Chiral effective field theory has established itself as the method of choice to study nuclear forces and low-energy nuclear dynamics. I review the status and prospects of this approach and discuss ongoing efforts to advance the precision…

Nuclear Theory · Physics 2015-10-27 Evgeny Epelbaum
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