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Related papers: Peripheral NN scattering from subtractive renormal…

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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

We present and apply a novel scheme for studying photon- and pion-nucleon scattering beyond the threshold region. Partial-wave amplitudes for the $\gamma\, N$ and $\pi N$ states are obtained by an analytic extrapolation of subthreshold…

High Energy Physics - Phenomenology · Physics 2015-03-13 A. Gasparyan , M. F. M. Lutz

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out…

Nuclear Theory · Physics 2008-11-26 D. Djukanovic , J. Gegelia , S. Scherer , M. R. Schindler

The chiral nucleon-nucleon ($NN$) interaction at high cutoffs has been plagued by the presence of spurious bound states. In this work, the chiral $NN$ interaction at N$^3$LO is studied by the local projection method as the cutoff increases.…

Nuclear Theory · Physics 2024-01-31 Haoyu Shang , Rongzhe Hu , Junchen Pei , Furong Xu

We use a chiral interaction at N3LO in the 1S0 channel of the nucleon- nucleon interaction in order to investigate the on-shell transition along the similarity renormalization group flow towards the infrared limit. We find a crossover at a…

Nuclear Theory · Physics 2017-03-08 Varese S. Timoteo , Enrique R. Arriola , S. Szpigel

We calculate the complete $T$ matrices of the elastic nucleon-nucleon scattering up to third order in SU(3) heavy baryon chiral perturbation theory. The phase shifts with orbital angular momentum $L\geq 2$ and the mixing angles with $J\geq…

Nuclear Theory · Physics 2022-01-03 Bo-Lin Huang , Jian-Bo Cheng , Shi-Lin Zhu

Systematic errors in the database of $np$ differential cross sections below 350 MeV are studied. By applying angle-dependent normalizations with the help of the energy-dependent Nijmegen partial-wave analysis PWA93 the $\chi^2$-values of…

Nuclear Theory · Physics 2009-11-07 J. J. de Swart , R. G. E. Timmermans

We consider nucleon-nucleon ($NN$) interactions from Chiral Effective Field Theory applying the $N/D$ method. The dynamical input is given by the discontinuity of the $NN$ partial-wave amplitudes across the left-hand cut (LHC) calculated in…

Nuclear Theory · Physics 2015-06-16 Zhi-Hui Guo , J. A. Oller , G. Rios

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…

Nuclear Theory · Physics 2022-10-31 A. M. Gasparyan , E. Epelbaum

We propose a new, renormalizable approach to nucleon-nucleon scattering in chiral effective field theory based on the manifestly Lorentz invariant form of the effective Lagrangian without employing the heavy-baryon expansion. For the…

Nuclear Theory · Physics 2015-06-05 E. Epelbaum , J. Gegelia

In this letter we deduce an integral equation that allows to calculate the exact left-hand-cut discontinuity for an uncoupled $S$-wave partial-wave amplitude in potential scattering for a given finite-range potential. The results obtained…

Nuclear Theory · Physics 2017-10-11 D. R. Entem , J. A. Oller

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

Nuclear Theory · Physics 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

We propose and demonstrate that peripheral neutron-$\alpha$ scattering at low energies can serve as a sensitive and clean probe of the long-range three-nucleon forces. To this aim, we perform {\it ab initio} quantum Monte Carlo calculations…

Nuclear Theory · Physics 2025-10-28 Yilong Yang , Evgeny Epelbaum , Jie Meng , Lu Meng , Pengwei Zhao

In our recent works we derived a chiral $O(q^4)$ two-pion exchange nucleon-nucleon potential (TPEP) formulated in a relativistic baryon (RB) framework, expressed in terms of the so called low energy constants (LECs) and functions…

Nuclear Theory · Physics 2007-05-23 Renato Higa

We study the nucleon-nucleon interaction up to next-to-next-to-leading order using time-ordered perturbation theory in the framework of manifestly Lorentz-invariant chiral effective field theory. We present the two-pion exchange…

Nuclear Theory · Physics 2022-09-12 Xiu-Lei Ren , E. Epelbaum , J. Gegelia

We consider the effective field theory of the NN system in a separable representation. The pionic part of the effective potential is included nonperturbatively and approximated by a separable potential. The use of a separable representation…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Krippa , B. L. G. Bakker

We present the first ab initio lattice calculation of neutron-alpha ($n$-$\alpha$) scattering using nuclear lattice effective field theory (NLEFT) with chiral interactions at next-to-next-to-next-to-leading order (N3LO). Building on the…

Nuclear Theory · Physics 2025-07-14 Serdar Elhatisari , Fabian Hildenbrand , Ulf-G. Meißner

We present quantum Monte Carlo calculations of light nuclei, neutron-$\alpha$ scattering, and neutron matter using local two- and three-nucleon ($3N$) interactions derived from chiral effective field theory up to next-to-next-to-leading…

Nuclear Theory · Physics 2016-02-18 J. E. Lynn , I. Tews , J. Carlson , S. Gandolfi , A. Gezerlis , K. E. Schmidt , A. Schwenk

In a recent study [M.C.M. Rentmeester et al., Phys. Rev. C 67, 044001 (2003)], the Nijmegen group reports on the determination of the chiral low-energy constants (LEC), c_3 and c_4, involved in the 2-pi-exchange part of the NN amplitude at…

Nuclear Theory · Physics 2007-05-23 D. R. Entem , R. Machleidt

Recently the nucleon-nucleon interaction derived using time-ordered perturbation theory in manifestly Lorentz-invariant chiral effective field theory was shown to yield promising results for peripheral neutron-proton scattering. In this…

Nuclear Theory · Physics 2026-05-13 Xiu-Lei Ren , E. Epelbaum , J. Gegelia