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Related papers: Delta-excitations and the three-nucleon force

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The nuclear lattice effective field theory (NLEFT) is an efficient tool for solving nuclear many-body problems, which takes high-fidelity lattice chiral interactions as input and computes nuclear low-energy observables via quantum Monte…

Nuclear Theory · Physics 2026-01-07 Chengxin Wu , Teng Wang , Bing-Nan Lu , Ning Li

A compelling feature of relativistic mean-field phenomenology has been the reproduction of spin-orbit splittings in finite nuclei after fitting only to equilibrium properties of infinite nuclear matter. This successful result occurs when…

Nuclear Theory · Physics 2009-10-30 R. J. Furnstahl , John J. Rusnak , Brian D. Serot

We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the $\Delta$-isobar $\Delta(1232)$ degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon ($\pi N$)…

Nuclear Theory · Physics 2018-02-27 A. Ekström , G. Hagen , T. D. Morris , T. Papenbrock , P. D. Schwartz

Recent successes in {\it ab initio} calculations of light nuclei (A=2-6) will be reviewed and correlated with the dynamical consequences of chiral symmetry. The tractability of nuclear physics evinced by these results is evidence for that…

Nuclear Theory · Physics 2010-05-27 J. L. Friar

After a brief review of the role three-nucleon forces play in the few-nucleon systems, the chiral-perturbation-theory approach to these forces is discussed. Construction of the (nominal) leading- and subleading-order Born terms and…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , D. Hüber , U. van Kolck

We address the typical strengths of hadronic parity-violating three-nucleon interactions in "pion-less" Effective Field Theory in the nucleon-deuteron (iso-doublet) system. By analysing the superficial degree of divergence of loop diagrams,…

Nuclear Theory · Physics 2014-11-21 Harald W. Griesshammer , Matthias R. Schindler

We calculate the form factors of the electromagnetic nucleon-to-$\Delta$-resonance transition to third chiral order in manifestly Lorentz-invariant chiral effective field theory. For the purpose of generating a systematic power counting,…

Nuclear Theory · Physics 2018-03-14 M. Hilt , T. Bauer , S. Scherer , L. Tiator

In the framework of chiral effective field theory of delta resonances, nucleons and pions interacting with background gravitational field we calculate the gravitational form factors of the nucleon up to fourth order in the small scale…

High Energy Physics - Phenomenology · Physics 2024-01-25 H. Alharazin

We investigate the role of the delta isobar in the reaction $\pi d\to \pi d$ at threshold in chiral effective field theory. We discuss the corresponding power counting and argue that this calculation completes the evaluation of diagrams up…

Nuclear Theory · Physics 2008-11-26 V. Baru , J. Haidenbauer , C. Hanhart , A. Kudryavtsev , V. Lensky , U. -G. Meißner

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the two-pion exchange nucleon-nucleon interaction that is generated by the isovector spin-flip $\pi\pi NN$ contact-vertex proportional to the…

Nuclear Theory · Physics 2009-11-11 N. Kaiser

We review the description of the lowest-energy nucleon excitation -- the $\Delta$(1232)-resonance. Much of the recent experimental effort has been focused on the precision measurements of the nucleon-to-$\Delta$ transition by means of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vladimir Pascalutsa , Marc Vanderhaeghen , Shin Nan Yang

The renormalization of the chiral np interaction with Delta-excitations in intermediate states is considered at next-to-leading order (NLO) and next-to-next-to-leading order (N2LO) for central waves. The inclusion of the Delta-excitation as…

Nuclear Theory · Physics 2009-12-31 M. Pavon Valderrama , E. Ruiz Arriola

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

From the subsubleading chiral three-nucleon force [intermediate-range contributions, published in Phys. Rev. C\,87, 054007 (2013)] a density-dependent NN-interaction $V_\text{med}$ is derived in isospin-symmetric nuclear matter. Following…

Nuclear Theory · Physics 2021-02-01 N. Kaiser

Third order chiral perturbation theory accounts for the $\pi-N$ scattering phase shift data out to energies slightly below the position of the $\Delta$ resonance. The low energy constants are not accurately determined. Explicit inclusion of…

Nuclear Theory · Physics 2017-08-23 P. J. Ellis

The role of the delta isobar degrees of freedom in nucleon-nucleon scattering is revisited. We attempt to understand why the dimensionally regularized two-pion exchanges with the explicit delta isobar is much stronger than the ones with…

Nuclear Theory · Physics 2024-07-25 Haiming Chen , Rui Peng , Songlin Lyu , Bingwei Long

The charge-dependent nucleon-nucleon ($NN$) interactions are crucial in understanding the nuclear structure and reaction problems. This work explores the charge-dependent $NN$ interaction in covariant chiral effective field theory. By…

Nuclear Theory · Physics 2025-04-23 Yang Xiao , Jun-Xu Lu , Li-Sheng Geng

We present an effective field theory of the $\Delta$-resonance as an interacting Weinberg's $(3/2,0)\oplus (0,3/2)$ field in the multi-spinor formalism. We derive its interactions with nucleons $N$, pions $\pi$ and photons $\gamma$, and…

High Energy Physics - Phenomenology · Physics 2021-06-18 Juan Carlos Criado , Abdelhak Djouadi , Niko Koivunen , Kristjan Müürsepp , Martti Raidal , Hardi Veermäe

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

We probe nuclear multipole resonances in the framework of the random-phase approximation by using the interaction obtained from the chiral effective field theory. The three-nucleon force is included in a form of the in-medium two-nucleon…

Nuclear Theory · Physics 2020-05-20 B. S. Hu , Q. Wu , Q. Yuan , Y. Z. Ma , X. Q. Yan , F. R. Xu