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Related papers: Tritium $\beta$-decay in chiral effective field th…

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We calculate shell-model matrix elements of the axial-charge exchange current operators that have been obtained up to the next-to-leading order from heavy-fermion chiral perturbation theory. It is found that loop corrections to the soft…

Nuclear Theory · Physics 2009-10-28 Tae-Sun Park , Ian S. Towner , Kuniharu Kubodera

We revisit the rates of neutrino pair emission and absorption from nucleon-nucleon bremsstrahlung in supernova matter using the $T$-matrix formalism in the long-wavelength limit. Based on two-body potentials of chiral effective field theory…

High Energy Astrophysical Phenomena · Physics 2019-12-19 Gang Guo , Gabriel Martínez-Pinedo

Making use of the Effective Field Theory(EFT) expansion recently developed by the authors, we compute the charge form factor of triton up to next-to-next-to-leading order (N$^2$LO). The three-nucleon forces(3NF) is required for…

Nuclear Theory · Physics 2011-03-15 H. Sadeghi

The effective field theory (EFT) for triaxially deformed even-even nuclei is generalized to include the vibrational degrees of freedom. The pertinent Hamiltonian is constructed up to next-to-leading order. The leading order part describes…

Nuclear Theory · Physics 2018-07-04 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

Various aspects of the application of Effective Field Theory (EFT) to the Nucleon-Nucleon (NN) interaction are considered. We look for contributions beyond One Pion Exchange which are predicted by Chiral Symmetry. Using the formalism of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson

We calculate the $\beta$-decay of tritium at next-to-leading order in pionless effective field theory. At this order, a low-energy parameter $L_{1, A}$ enters the calculation that is also relevant for a high-accuracy prediction of the solar…

Nuclear Theory · Physics 2019-11-20 Hilla De-Leon , Lucas Platter , Doron Gazit

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 explore the constraints on the three-nucleon force (3NF) of chiral effective field theory ($\chi$EFT) that are provided by bound-state observables in the $A=3$ and $A=4$ sectors. Our statistically rigorous analysis incorporates…

We present a calculation of the three complex form factors parametrizing the nucleon to Delta transition matrix element in the framework of chiral effective field theory with explicit Delta degrees of freedom. The interplay between short…

Nuclear Theory · Physics 2008-11-26 Tobias A. Gail , Thomas R. Hemmert

The Fermi function $F(Z,E)$ accounts for QED corrections to beta decays that are enhanced at either small electron velocity $\beta$ or large nuclear charge $Z$. For precision applications, the Fermi function must be combined with other…

High Energy Physics - Phenomenology · Physics 2024-09-04 Richard J. Hill , Ryan Plestid

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

Faddeev calculations of hypertriton ($_\Lambda^3$H) separation energy are performed, incorporating all next-to-next-to-leading-order $\Lambda$NN three-body forces (3BFs) in chiral effective field theory: $2\pi$-exchange, $1\pi$-exchange,…

Nuclear Theory · Physics 2023-11-21 M. Kohno , H. Kamada , K. Miyagawa

The Helium-3 (${}^3\mathrm{He}$) magnetic moment and Gamow-Teller (GT) matrix element in triton (${}^3\mathrm{H}$) $\beta$-decay are calculated in pionless effective field theory ($\mathrm{EFT}(/\!\!\!\pi)$) to next-to-leading order (NLO).…

Nuclear Theory · Physics 2026-05-20 Ha S. Nguyen , Jared Vanasse

The leading one-loop corrections to the gravitational form factors of the delta resonance are calculated in the framework of chiral effective field theory. Various contributions to the energy-momentum tensor and the renormalization of the…

High Energy Physics - Phenomenology · Physics 2022-10-04 H. Alharazin , E. Epelbaum , J. Gegelia , U. -G. Meißner , B. -D. Sun

Ab initio calculations of the Gamow-Teller (GT) matrix elements in the $\beta$ decays of $^6$He and $^{10}$C and electron captures in $^7$Be are carried out using both variational and Green's function Monte Carlo wave functions obtained…

Nuclear Theory · Physics 2018-03-07 S. Pastore , A. Baroni , J. Carlson , S. Gandolfi , Steven C. Pieper , R. Schiavilla , R. B. Wiringa

We solve the ab initio no-core shell model (NCSM) in the complete Nmax = 8 basis for A = 7 and A = 8 nuclei with two-nucleon and three-nucleon interactions derived within chiral effective field theory (EFT). We find that including the…

Nuclear Theory · Physics 2015-03-20 Pieter Maris , James P. Vary , Petr Navratil

We renormalize the chiral effective field theory (EFT) potential in harmonic-oscillator (HO) model space. The low energy constants (LECs) are utilized to absorb not just the ultra-violet part of the physics due to the cutoff, but also the…

Nuclear Theory · Physics 2017-01-04 C. -J. Yang

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

I discuss our recent work on Green's function Monte Carlo (GFMC) calculations of light nuclei using local nucleon-nucleon interactions derived from chiral effective field theory (EFT) up to next-to-next-to-leading order (N$^2$LO). I present…

Nuclear Theory · Physics 2016-04-20 J. E. Lynn

Leading-order electromagnetic loop corrections to the one-pion-exchange potential are computed within the framework of chiral perturbation theory. These corrections generate an effective nucleon-nucleon potential, $V_{\pi \gamma}$, which…

Nuclear Theory · Physics 2008-11-26 U. van Kolck , M. C. M. Rentmeester , J. L. Friar , T. Goldman , J. J. de Swart