?Renormalization-group-invariant effective field theory? for few-nucleon systems is cutoff dependent

被引：11

作者：

Gasparyan, A. M. ^{[1
]}

Epelbaum, E. ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Fak Phys & Astron, Inst Theoret Phys 2, D-44780 Bochum, Germany

来源：

PHYSICAL REVIEW C | 2023年 / 107卷 / 03期

基金：

欧盟地平线“2020”; 欧洲研究理事会;

关键词：

SINGULAR POTENTIALS; CHIRAL LAGRANGIANS; INTEGRAL-EQUATIONS; 3-BOSON SYSTEM; FORCES; SCATTERING;

D O I：

10.1103/PhysRevC.107.034001

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We consider nucleon-nucleon scattering using the formulation of chiral effective field theory which is claimed to be renormalization group invariant. The cornerstone of this framework is the existence of a well-defined infinite-cutoff limit for the scattering amplitude at each order of the expansion, which should not depend on a particular regulator form. Focusing on the 3P0 partial wave as a representative example, we show that this requirement can in general not be fulfilled beyond the leading order, in spite of the perturbative treatment of subleading contributions to the amplitude. Several previous studies along these lines, including the next-to-leading order calculation by B. Long and C. J. Yang [Phys. Rev. C 84, 057001 (2011)] and a toy model example with singular long-range potentials by B. Long and U. van Kolck [Ann. Phys. 323, 1304 (2008)], are critically reviewed and scrutinized in detail.

引用

页数：20

共 16 条

[1] Few-nucleon scattering in pionless effective field theory
Schafer, Martin
Bazak, Betzalel
PHYSICAL REVIEW C, 2023, 107 (06)
[2] The importance of few-nucleon forces in chiral effective field theory
Yang, C. -J.
Ekstroem, A.
Forssen, C.
Hagen, G.
Rupak, G.
van Kolck, U.
EUROPEAN PHYSICAL JOURNAL A, 2023, 59 (10)
[3] Chiral effective field theory analysis of hadronic parity violation in few-nucleon systems
Viviani, M.
Baroni, A.
Girlanda, L.
Kievsky, A.
Marcucci, L. E.
Schiavilla, R.
PHYSICAL REVIEW C, 2014, 89 (06):
[4] A Relativistic Theory of Few-Nucleon Systems
Stadler, Alfred
FEW-BODY SYSTEMS, 2011, 50 (1-4) : 167 - 174
[5] Functional renormalization group for few-nucleon systems: SU(4) symmetry and its breaking
Birse, Michael C.
Krippa, Boris
Walet, Niels R.
PHYSICAL REVIEW C, 2013, 87 (05):
[6] Finite-volume pionless effective field theory for few-nucleon systems with differentiable programming
Sun, Xiangkai
Detmold, William
Luo, Di
Shanahan, Phiala E.
PHYSICAL REVIEW D, 2022, 105 (07)
[7] Few-nucleon matrix elements in pionless effective field theory in a finite volume
Detmold, W.
Shanahan, P. E.
PHYSICAL REVIEW D, 2021, 103 (07)
[8] Magnetic structure of few-nucleon systems at high momentum transfers in a chiral effective field theory approach
Gnech, A.
Schiavilla, R.
PHYSICAL REVIEW C, 2022, 106 (04)
[9] Nucleon-nucleon interaction in chiral effective field theory with a finite cutoff: Explicit perturbative renormalization at next-to-leading order
Gasparyan, A. M.
Epelbaum, E.
PHYSICAL REVIEW C, 2022, 105 (02)
[10] NUCLEAR FORCES AND FEW NUCLEON SYSTEMS IN CHIRAL EFFECTIVE FIELD THEORY
Krebs, Hermann
MODERN PHYSICS LETTERS A, 2009, 24 (11-13) : 921 - 930

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