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Employing the covariant baryon chiral perturbation theory, we calculate the leading and next-to-leading order two-pion exchange (TPE) contributions to $NN$ interaction up to order $O(p^3)$. We compare the so-obtained $NN$ phase shifts with…

Nuclear Theory · Physics 2020-11-18 Yang Xiao , Chun-Xuan Wang , Jun-Xu Lu , Li-Sheng Geng

A self-consistent symmetry arises when the nucleon angular momentum j and the isospin t are coupled to a grand spin G. Closed G shells become sources of a classical pion field with a hedgehog shape. Although the amplitude of the pion field,…

Nuclear Theory · Physics 2008-12-18 Georges Ripka

We present first results on the scalar WIMP-pion coupling from 1 t$\times$yr of exposure with the XENON1T experiment. This interaction is generated when the WIMP couples to a virtual pion exchanged between the nucleons in a nucleus. In…

High Energy Physics - Phenomenology · Physics 2019-02-25 E. Aprile , J. Aalbers , F. Agostini , M. Alfonsi , L. Althueser , F. D. Amaro , M. Anthony , V. C. Antochi , F. Arneodo , L. Baudis , B. Bauermeister , M. L. Benabderrahmane , T. Berger , P. A. Breur , A. Brown , A. Brown , E. Brown , S. Bruenner , G. Bruno , R. Budnik , C. Capelli , J. M. R. Cardoso , D. Cichon , D. Coderre , A. P. Colijn , J. Conrad , J. P. Cussonneau , M. P. Decowski , P. de Perio , P. Di Gangi , A. Di Giovanni , S. Diglio , A. Elykov , G. Eurin , J. Fei , A. D. Ferella , A. Fieguth , W. Fulgione , A. Gallo Rosso , M. Galloway , F. Gao , M. Garbini , L. Grandi , Z. Greene , C. Hasterok , E. Hogenbirk , J. Howlett , M. Iacovacci , R. Itay , F. Joerg , B. Kaminsky , S. Kazama , A. Kish , G. Koltman , A. Kopec , H. Landsman , R. F. Lang , L. Levinson , Q. Lin , S. Lindemann , M. Lindner , F. Lombardi , J. A. M. Lopes , E. López Fune , C. Macolino , J. Mahlstedt , A. Manfredini , F. Marignetti , T. Marrodán Undagoitia , J. Masbou , D. Masson , S. Mastroianni , M. Messina , K. Micheneau , K. Miller , A. Molinario , K. Morå , M. Murra , J. Naganoma , K. Ni , U. Oberlack , K. Odgers , B. Pelssers , F. Piastra , J. Pienaar , V. Pizzella , G. Plante , R. Podviianiuk , N. Priel , H. Qiu , D. Ramírez García , S. Reichard , B. Riedel , A. Rizzo , A. Rocchetti , N. Rupp , J. M. F. dos Santos , G. Sartorelli , N. Šarčević , M. Scheibelhut , S. Schindler , J. Schreiner , D. Schulte , M. Schumann , L. Scotto Lavina , M. Selvi , P. Shagin , E. Shockley , M. Silva , H. Simgen , C. Therreau , D. Thers , F. Toschi , G. Trinchero , C. Tunnell , N. Upole , M. Vargas , O. Wack , H. Wang , Z. Wang , Y. Wei , C. Weinheimer , C. Wittweg , J. Wulf , J. Ye , Y. Zhang , T. Zhu , J. P. Zopounidis , M. Hoferichter , P. Klos , J. Menéndez , A. Schwenk

A model is developed for the hadronic and electromagnetic interaction in the two-nucleon system above pion threshold in the framework of meson, nucleon and $\Delta$ degrees of freedom. It is based on time-ordered perturbation theory and…

Nuclear Theory · Physics 2007-05-23 M. Schwamb , H. Arenhoevel

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

Peripheral nucleon-nucleon scattering is analysed in the framework of an effective field theory. Distorted-wave methods are used to remove the effects of one-pion exchange. Two-pion exchange and recoil corrections to one-pion exchange are…

Nuclear Theory · Physics 2009-11-10 Michael C. Birse , Judith A. McGovern

The axial exchange current operator that arises from the coupling of the axial field to the pion and effective scalar field in nuclei is constructed. The spatial dependence of this exchange current operator may be determined directly from…

Nuclear Theory · Physics 2009-10-22 K. Tsushima , D. O. Riska

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

The evolution of nuclear shell structure is investigated for the first time within density-dependent relativistic Hartree-Fock theory and the role of $\pi$-exchange potential is studied in detail. The energy differences between the neutron…

Nuclear Theory · Physics 2008-11-26 Wen Hui Long , Hiroyuki Sagawa , Jie Meng , Nguyen Van Giai

Motivated by the recent paper arXiv:2602.11815 [nucl-th], we calculate in these notes the spectral functions (i.e. imaginary parts) of the NN-potentials as they arise from $2\pi$-exchange with single and double Roper resonance excitation.…

Nuclear Theory · Physics 2026-02-26 Norbert Kaiser

In this paper we give explicit formulae in momentum and coordinate space for the three-nucleon potentials due to $\rho$ and $\pi$ meson exchange, derived from off-mass-shell meson-nucleon scattering amplitudes which are constrained by the…

Nuclear Theory · Physics 2008-11-26 S. A. Coon , M. T. Pena

We calculate the equation of state of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The contributions to the energy per particle $\bar E(k_f)$ from one- and two-pion exchange diagrams are…

Nuclear Theory · Physics 2009-11-07 N. Kaiser , S. Fritsch , W. Weise

We use an effective field theory (EFT) which contains only short-range interactions to study the dependence of a variety of three-nucleon observables on the pion mass. The pion-mass dependence of input quantities in our ``pionless'' EFT is…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , D. R. Phillips , L. Platter

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main…

Nuclear Theory · Physics 2010-11-26 Susanna Wilms , Francesco Giacosa , Dirk H. Rischke

The renormalization of iterated one-pion exchange (OPE) is studied in Chiral Effective Field Theory ($\chi$EFT) for the antinucleon-nucleon ($\overline{N}\!N$) system. The OPE potential is cut off at a certain distance and contact…

Nuclear Theory · Physics 2022-05-31 Daren Zhou , Bingwei Long , R. G. E. Timmermans , U. van Kolck

A simple but useful guide for understanding the structure of light nuclei is presented. It is based on counting the number of interacting pairs in different spin-isospin (S,T) states for a given spatial symmetry, and estimating the overall…

Nuclear Theory · Physics 2008-11-26 R. B. Wiringa

The elastic pi-N scattering amplitude in the isospin limit is calculated in the framework of heavy baryon chiral perturbation theory, up to the third order. Threshold parameters like scattering lengths, volumes, effective ranges, etc. are…

High Energy Physics - Phenomenology · Physics 2011-09-13 Martin Mojzis

We show that chiral symmetry and gauge invariance enforce relations between the short-distance physics that occurs in a number of electroweak and pionic reactions on light nuclei. Within chiral perturbation theory this is manifested via the…

Nuclear Theory · Physics 2008-11-26 A. Gardestig , D. R. Phillips

We include two new three-nucleon-force terms of pion-range - short-range form in our momentum-space calculations for the three-nucleon continuum. These two terms are expected by chiral perturbation theory to be non-negligible. We study the…

Nuclear Theory · Physics 2014-11-18 D. Hüber , J. L. Friar , A. Nogga , H. Witala , U. van Kolck

Using the two-loop approximation of chiral perturbation theory, we calculate the momentum and density dependent isovector nuclear spin-orbit strength $V_{ls}(p,k_f)$. This quantity is derived from the spin-dependent part of the interaction…

Nuclear Theory · Physics 2009-11-10 N. Kaiser