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Related papers: Renormalizing Chiral Nuclear Forces: Triplet Chann…

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Recently, a relativistic chiral nucleon-nucleon interaction is formulated up to leading order which provides a good description of the phase shifts of $J\leq1$ partial waves [Chin. Phys. C 42 (2018) 014103]. Nevertheless, a separable…

Nuclear Theory · Physics 2021-06-09 Xiu-Lei Ren , Chun-Xuan Wang , Kai-Wen Li , Li-Sheng Geng , Jie Meng

Pionful nuclear effective field theory (NEFT) in the two-nucleon sector is examined from the Wilsonian renormalization group point of view. The pion exchange is cut off at the floating cutoff scale, $\Lambda$, with the short-distance part…

Nuclear Theory · Physics 2015-03-17 Koji Harada , Hirofumi Kubo , Yuki Yamamoto

Nogga, Timmermans and van Kolck recently argued that Weinberg's power counting in the few-nucleon sector is inconsistent and requires modifications. Their argument is based on the observed cutoff dependence of the nucleon-nucleon scattering…

Nuclear Theory · Physics 2013-11-18 E. Epelbaum , U. -G. Meißner

We show that from analysis of time-ordered diagrams for the two-nucleon $T$-matrix in chiral perturbation theory it follows that low energy nucleon dynamics is governed by the generalized dynamical equation, which was derived in [J.Phys.A.,…

Nuclear Theory · Physics 2007-05-23 Renat Kh. Gainutdinov , Aigul A. Mutygullina

Recently the nucleon-nucleon interaction derived using time-ordered perturbation theory in manifestly Lorentz-invariant chiral effective field theory was shown to yield promising results for peripheral neutron-proton scattering. In this…

Nuclear Theory · Physics 2026-05-13 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

We propose a new, renormalizable approach to nucleon-nucleon scattering in chiral effective field theory based on the manifestly Lorentz invariant form of the effective Lagrangian without employing the heavy-baryon expansion. For the…

Nuclear Theory · Physics 2015-06-05 E. Epelbaum , J. Gegelia

The pi-N interaction is studied within a meson-exchange model and in a coupled-channels approach which includes the channels pi-N, eta-N, as well as three effective pi-pi-N channels namely rho-N, pi-Delta, and sigma-N. Starting out from an…

Nuclear Theory · Physics 2009-11-10 A. M. Gasparyan , J. Haidenbauer , C. Hanhart , J. Speth

The renormalisation of NN scattering in theories with zero-range interactions is examined using a cut-off regularisation where the cut-off is taken to infinity, dimensional regularisation (DR) with minimal subtraction, and DR with…

Nuclear Theory · Physics 2007-05-23 Michael C. Birse

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

Within the framework of chiral effective field theory, perturbative calculation for $NN$ scattering is carried out in partial waves with orbital angular momentum $L \geqslant 1$. The primary goal is to identify the lowest angular momenta at…

Nuclear Theory · Physics 2019-02-26 Shaowei Wu , Bingwei Long

I discuss the progress we have made on modifying Weinberg's prescription for chiral nuclear forces, using renormalization group invariance as the guideline. Some of the published results are presented.

Nuclear Theory · Physics 2013-07-03 Bingwei Long

Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and…

Nuclear Theory · Physics 2009-10-30 N. Kaiser , R. Brockmann , W. Weise

We present solutions of the BCS gap equation in the channels ${}^1S_0$ and ${}^3P_2-{}^3F_2$ in neutron matter based on nuclear interactions derived within chiral effective field theory (EFT). Our studies are based on a representative set…

Nuclear Theory · Physics 2017-02-08 C. Drischler , T. Krüger , K. Hebeler , A. Schwenk

Next to leading order effective field theory calculations are performed for $ {}^1S_0$ NN scattering using subtractive renormalization procedure. One pion exchange and contact interaction potentials are iterated using Lippman-Schwinger…

Nuclear Theory · Physics 2009-10-31 J. Gegelia

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

Are chiral theories at present describing experimental NN scattering data satisfactorily ?. Will the chiral approach offer a framework where fitting and selecting the existing np and pp data can be done without theoretical bias ?. While…

Nuclear Theory · Physics 2019-07-11 Rodrigo Navarro Perez , Enrique Ruiz Arriola

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

We study the distorted wave renormalisation group (DWRG), a tool for constructing power-counting schemes in systems where some diagrams must be summed to all orders. We solve the DWRG eqaution for a variety of long-range potentials…

Nuclear Theory · Physics 2007-05-23 T. Barford

Predictive power in theoretical nuclear physics has been a major concern in the study of nuclear structure and reactions. The Effective Field Theory (EFT) based on chiral expansions provides a model independent hierarchy for many body…

Nuclear Theory · Physics 2017-04-05 E. Ruiz Arriola , J. E. Amaro , R. Navarro Perez

The role of dimensional regularization is discussed and compared with that of cut-off regularization in some quantum mechanical problems with ultraviolet divergence in two and three dimensions with special emphasis on the nucleon-nucleon…

Nuclear Theory · Physics 2009-10-31 Angsula Ghosh , Sadhan K. Adhikari , B. Talukdar