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In chiral effective field theory the leading order (LO) nucleon-nucleon potential includes two contact terms, in the two spin channels $S=0,1$, and the one-pion-exchange potential. When the pion degrees of freedom are integrated out, as in…

Nuclear Theory · Physics 2017-03-08 A. Kievsky , M. Viviani , M. Gattobigio , L. Girlanda

Possible non-standard tuZ and tcZ interactions, which induce flavor-changing neutral-current decays of the top quark, are studied in the effective-Lagrangian framework. The corresponding Lagrangian consists of four kinds of non-standard…

High Energy Physics - Phenomenology · Physics 2019-11-11 Zenro Hioki , Kazumasa Ohkuma , Akira Uejima

We study possible non-standard $tuZ$ and $tcZ$ couplings, which induce flavor-changing neutral-current decays of the top quark, in the effective-Lagrangian framework. The corresponding interaction Lagrangian comes from several $SU(3) \times…

High Energy Physics - Phenomenology · Physics 2019-09-17 Zenro Hioki , Kazumasa Ohkuma , Akira Uejima

We present a new formulation of self-dual nonlinear electrodynamics in which interactions are determined by an auxiliary-field potential, with causality ensuring a unique solution to the auxiliary-field equation. The long-standing problem…

High Energy Physics - Theory · Physics 2025-10-08 Jorge G. Russo , Paul K. Townsend

In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed by decomposing it into a linear combination of four…

Analysis of PDEs · Mathematics 2023-10-04 Biagio Cassano , Vladimir Lotoreichik , Albert Mas , Matěj Tušek

We derive from the subleading contributions to the chiral three-nucleon force (short-range terms and relativistic corrections, published in Phys. Rev. C84, 054001 (2011)) a density-dependent two-nucleon interaction $V_\text{med}$ in…

Nuclear Theory · Physics 2018-12-05 N. Kaiser , V. Niessner

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2…

High Energy Physics - Theory · Physics 2014-09-17 Xian Gao

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

We analyze the subleading three-nucleon contact interaction terms at N4LO in chiral effective field theory. We perform the isospin projection into $T=1/2$ and $T=3/2$ states, and find that only eleven of the thirteen operators contribute in…

Nuclear Theory · Physics 2026-01-28 Elena Filandri , Luca Girlanda , Ylenia Capitani

Motivated by the successes of relativistic theories in studies of atomic/molecular and nuclear systems and the need for a relativistic chiral force in relativistic nuclear structure studies, we explore a new relativistic scheme to construct…

Nuclear Theory · Physics 2017-11-28 Xiu-Lei Ren , Kai-Wen Li , Li-Sheng Geng , Bing-Wei Long , Peter Ring , Jie Meng

We investigate the constraints on four-Fermi contact interactions from low-energy lepton-quark and lepton-lepton scattering experiments --- polarization asymmetries in electron (muon)-nucleon scattering experiments, cesium and thallium atom…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gi-Chol Cho , Kaoru Hagiwara , Seiji Matsumoto

Leading three-baryon forces are derived within SU(3) chiral effective field theory. Three classes of irreducible diagrams contribute: three-baryon contact terms, one-meson exchange and two-meson exchange diagrams. We provide the minimal…

We derive cubic interaction vertices for a class of higher-derivative theories involving three arbitrary integer spin fields. This derivation uses the requirement of closure of the Poincar\`e algebra in four-dimensional flat spacetime. We…

High Energy Physics - Theory · Physics 2024-05-14 Sudarshan Ananth , Nipun Bhave , Chetan Pandey , Saurabh Pant

The low-energy theory of electrons interacting via repulsive short-range interactions on graphene's honeycomb lattice at half filling is presented. The exact symmetry of the Lagrangian with local quartic terms for the Dirac field dictated…

Strongly Correlated Electrons · Physics 2009-05-20 Igor F. Herbut , Vladimir Juricic , Bitan Roy

We identify a redundancy between two- and three-nucleon contact interactions at the fourth and fifth order of the chiral expansion respectively. In particular we show that tensor-type and spin-orbit three-nucleon contact interactions…

Nuclear Theory · Physics 2021-01-04 L. Girlanda , A. Kievsky , L. E. Marcucci , M. Viviani

We construct the three-nucleon contact potentials in the Jacobi partial-wave basis. The potentials are built in the separable form as the products of the antisymmetrized three-nucleon states in which the nucleons are arbitrarily close to…

Nuclear Theory · Physics 2026-01-13 Lin Zuo , Hao Yang , Bingwei Long

We examine nucleon-nucleon realistic interactions, based on their SU(3) decomposition to SU(3)-symmetric components. We find that many of these interaction components are negligible, which, in turn, allows us to identify a subset of…

Nuclear Theory · Physics 2021-04-07 G. H. Sargsyan , K. D. Launey , R. B. Baker , T. Dytrych , J. P. Draayer

We consider the three-dimensional Dirac operator coupled with a combination of electrostatic and Lorentz scalar $\delta$-shell interactions. We approximate this operator with general local interactions $V$. Without any hypotheses of…

Spectral Theory · Mathematics 2023-09-25 Mahdi Zreik

Using effective field theory we prove inequalities for the correlations of two-nucleon operators in low-energy symmetric nuclear matter. For physical values of operator coefficients in the effective Lagrangian, the S = 1, I = 0 channel…

Nuclear Theory · Physics 2009-11-10 Dean Lee

We construct a low-energy effective Lagrangian describing zero-temperature supersolids. Galilean invariance imposes strict constraints on the form of the effective Lagrangian. We identify a topological term in the Lagrangian that couples…

Other Condensed Matter · Physics 2007-05-23 D. T. Son