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We calculate the nucleon mass in a manifestly relativistic baryon chiral perturbation theory up to the leading two-loop order. Through dimensional counting analysis, we perform the chiral expansion and verify the validity of the…

High Energy Physics - Phenomenology · Physics 2025-03-24 Ze-Rui Liang , Han-Xue Chen , Feng-Kun Guo , Zhi-Hui Guo , De-Liang Yao

We show that microscopic calculations based on chiral effective field theory interactions constrain the properties of neutron-rich matter below nuclear densities to a much higher degree than is reflected in commonly used equations of state.…

Nuclear Theory · Physics 2010-10-27 K. Hebeler , J. M. Lattimer , C. J. Pethick , A. Schwenk

We construct nuclear matter based on an extended parity doublet model including four light nucleons $N(939)$, $N(1440)$, $N(1535)$, and $N(1650)$. We exclude some values of the chiral invariant masses by requiring the saturation properties…

Nuclear Theory · Physics 2019-08-21 Takahiro Yamazaki , Masayasu Harada

Effective field theory is applied to finite-density systems with an unnaturally large scattering length, such as neutron matter. A new organizational scheme is identified and connected with an expansion in inverse powers of the number of…

Nuclear Theory · Physics 2007-05-23 James V. Steele

We investigate the properties of isospin-symmetric nuclear matter and neutron stars in a chiral model approach adopting the SU(2) parity doublet formulation. This ansatz explicitly incorporates chiral symmetry restoration with the limit of…

Nuclear Theory · Physics 2008-11-26 V. Dexheimer , S. Schramm , D. Zschiesche

We consider a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. As an application we discuss the chiral expansion of the nucleon mass.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

We established a new power counting scheme, chiral-scale density counting (CSDC) rules, for the application of the chiral-scale effective field theory to nuclear matter at finite densities and temperatures. Within this framework, the free…

Nuclear Theory · Physics 2026-03-18 Jia-Ying Xiong , Yao Ma , Bing-Kai Sheng , Yong-Liang Ma

Neutron matter presents a unique system in chiral effective field theory (EFT), because all many-body forces among neutrons are predicted to next-to-next-to-next-to-leading order (N3LO). We discuss perturbative and first Quantum Monte Carlo…

Nuclear Theory · Physics 2013-10-15 I. Tews , T. Krüger , A. Gezerlis , K. Hebeler , A. Schwenk

We optimize $\Delta$-full nuclear interactions from chiral effective field theory. The low-energy constants of the contact potentials are constrained by two-body scattering phase shifts, and by properties of bound-state of $A=2$ to $4$…

Nuclear Theory · Physics 2020-11-11 W. G. Jiang , A. Ekström , C. Forssén , G. Hagen , G. R. Jansen , T. Papenbrock

Novel techniques are presented, which identify the chiral power-counting regime (PCR), and realize the existence of an intrinsic energy scale embedded in lattice QCD results that extend outside the PCR. The nucleon mass is considered as a…

High Energy Physics - Lattice · Physics 2015-05-27 Jonathan M. M. Hall , Derek B. Leinweber , Ross D. Young

I describe recent progress towards a theory of the NN force which captures the consequences of QCD's chiral symmetry and the pattern of its breaking, and is formulated as an expansion in a ratio of low and high mass scales, M_{lo}/M_{hi}.…

Nuclear Theory · Physics 2013-02-26 Daniel R. Phillips

Recent developments of chiral effective field theory (ChEFT) applications to nuclear and neutron matter are summarized, with special emphasis on a (non-perturbative) extension using functional renormalisation group methods. Topics include:…

Nuclear Theory · Physics 2020-01-08 Wolfram Weise

We optimize the nucleon-nucleon interaction from chiral effective field theory at next-to-next- to-leading order. The resulting new chiral force NNLOopt yields \chi^2 \approx 1 per degree of freedom for laboratory energies below…

We formulate the expansion for the mass of the nucleon as a function of pion mass within chiral perturbation theory using a number of different ultra-violet regularisation schemes; including dimensional regularisation and various…

High Energy Physics - Lattice · Physics 2010-02-17 R. D. Young , D. B. Leinweber , A. W. Thomas

In this review article, we argue that our current understanding of the thermodynamic properties of cold QCD matter, originating from first principles calculations at high and low densities, can be used to efficiently constrain the…

Nuclear Theory · Physics 2016-04-20 Eduardo S. Fraga , Aleksi Kurkela , Aleksi Vuorinen

We investigate nuclear matter, i.e. the nuclear equation-of-state (EOS) as well as the relativistic mean fields in the chiral limit. The investigations are based on a chiral nucleon-nucleon EFT interaction where the explicit and implicit…

Nuclear Theory · Physics 2008-11-26 O. Plohl , C. Fuchs

An exploratory study of chiral four-nucleon interactions in nuclear and neutron matter is performed. The leading-order terms arising from pion-exchange in combination with the chiral $4\pi$-vertex and the chiral NN$3\pi$-vertex are found to…

Nuclear Theory · Physics 2015-06-11 N. Kaiser

We introduce a new framework for quantifying correlated uncertainties of the infinite-matter equation of state derived from chiral effective field theory ($\chi$EFT). Bayesian machine learning via Gaussian processes with physics-based…

Nuclear Theory · Physics 2021-01-08 C. Drischler , R. J. Furnstahl , J. A. Melendez , D. R. Phillips

The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields…

Nuclear Theory · Physics 2009-10-30 Horst Mueller , Brian D. Serot

We investigate the possibility to describe nuclear matter in an approach constrained by the prominent features of quantum chromodynamics. We mapped the in-medium nucleon self-energies of a point coupling relativistic mean-field model on…

Nuclear Theory · Physics 2008-11-26 R. Huguet , J. C. Caillon , J. Labarsouque
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