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Related papers: Renormalizing Chiral Nuclear Forces: Triplet Chann…

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We discuss in this paper the subleading contact interactions, or counterterms, in the 3P0 channel of nucleon-nucleon scattering up to O(Q^3), where, already at leading order, Weinberg's original power counting (WPC) scheme fails to fulfill…

Nuclear Theory · Physics 2012-03-15 Bingwei Long , C. -J. Yang

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with…

Nuclear Theory · Physics 2013-04-30 Bingwei Long , C. -J. Yang

We introduce a new and well defined power counting for the effective field theory describing nucleon-nucleon interactions. Because of the large NN scattering lengths it differs from other applications of chiral perturbation theory and is…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , Martin J. Savage , Mark B. Wise

Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

I reexamine the perturbative renormalizability of chiral two-pion exchange in two-nucleon scattering for coupled triplets when one-pion exchange has been fully iterated at leading order. Improving over previous works, it is shown that only…

Nuclear Theory · Physics 2026-01-21 Manuel Pavon Valderrama

We investigate renormalization of chiral nuclear forces in the coupled channel of 3S1-3D1 of nucleon-nucleon scattering. The one-pion exchange potential is treated nonperturbatively at leading order while subleading potentials are…

Nuclear Theory · Physics 2025-12-19 Rui Peng , Bingwei Long , Fu-Rong Xu

We discuss renormalization of chiral nuclear forces in the 3P0 channel of N N scattering at next- to-next-to leading order (N2LO) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading…

Nuclear Theory · Physics 2024-11-22 Rui Peng , Bingwei Long , Fu-Rong Xu

Nucleon-nucleon scattering in the $^1S_0$ partial wave is considered in chiral effective field theory within the renormalizable formulation of Ref. [1] beyond the leading-order approximation. By applying subtractive renormalization, the…

Nuclear Theory · Physics 2015-01-07 E. Epelbaum , A. M. Gasparyan , J. Gegelia , H. Krebs

We extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account non-perturbative effects. We consider the nucleon-nucleon…

Nuclear Theory · Physics 2023-04-19 A. M. Gasparyan , E. Epelbaum

The leading-order nucleon-nucleon (NN) potential derived from chiral perturbation theory consists of one-pion exchange plus a short-distance contact interaction. We show that in the 1S0 and 3S1-3D1 channels renormalization of the…

Nuclear Theory · Physics 2008-11-26 C. -J. Yang , Ch. Elster , D. R. Phillips

We study the perturbative renormalizability of chiral two pion exchange for the singlet and triplet channels within effective field theory, provided that the one pion exchange piece of the interaction has been fully iterated. We determine…

Nuclear Theory · Physics 2011-02-24 M. Pavon Valderrama

The renormalization of the chiral nuclear interactions is studied. In leading order, the cutoff dependence is related to the singular tensor interaction of the one-pion exchange potential. In S waves and in higher partial waves where the…

Nuclear Theory · Physics 2008-11-26 A. Nogga , R. G. E. Timmermans , U. van Kolck

A renormalization scheme for the nucleon-nucleon (NN) interaction based on a subtracted T-matrix equation is proposed and applied to the one-pion-exchange potential supplemented by contact interactions. The singlet and triplet scattering…

Nuclear Theory · Physics 2009-10-31 T. Frederico , V. S. Timoteo , Lauro Tomio

In this work we consider the renormalization of the chiral two-pion exchange potential with explicit delta-excitations for nucleon-nucleon scattering at next-to-leading (NLO) and next-to-next-to-leading order (N2LO). Due to the singular…

Nuclear Theory · Physics 2015-03-17 M. Pavon Valderrama , E. Ruiz Arriola

In this work, we study the renormalization group invariance (RGI) of the recently proposed covariant power counting (PC) scheme in the case of nucleon-nucleon scattering [Chin.Phys. C42 (2018) 014103] at leading order (LO). We show that…

Nuclear Theory · Physics 2021-05-26 Chun-Xuan Wang , Li-Sheng Geng , Bingwei Long

We analyze the renormalization of the nucleon--nucleon interaction at low energies in coordinate space for both one and two pion exchange chiral potentials. The singularity structure of the long range potential and the requirement of…

Nuclear Theory · Physics 2007-05-23 M. Pavon Valderrama , E. Ruiz Arriola

We show how to renormalize chiral two pion exchange perturbatively if one pion exchange has already been fully iterated at leading order. This particular choice corresponds to the implementation of the counting proposal of Nogga, Timmermans…

Nuclear Theory · Physics 2011-02-03 M. Pavon Valderrama

The renormalization of the chiral np interaction in the 1S0 channel to N3LO in Weinberg counting for the long distance potential with one single momentum and energy independent counterterm is carried out. This renormalization scheme yields…

Nuclear Theory · Physics 2008-11-26 D. R. Entem , E. Ruiz Arriola , M. Pavon Valderrama , R. Machleidt

We analyse the renormalization of the of two-nucleon interaction with multiple subtractions in peripheral waves considering two chiral forces at N3LO. Phase shifts at low energies are then computed with several subtraction points below \mu…

Nuclear Theory · Physics 2017-03-07 E. F. Batista , S. Szpigel , V. S. Timóteo

Naively, the "best" method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the…

Nuclear Theory · Physics 2012-08-14 Ch. Zeoli , R. Machleidt , D. R. Entem
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