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Understanding nuclear forces, infinite nuclear matter, and finite nuclei within a unified framework has remained a central challenge in nuclear physics for decades. While most \textit{ab initio} studies employ nonrelativistic…

Nuclear Theory · Physics 2025-07-03 Shihang Shen , Jun-Xu Lu , Li-Sheng Geng , Jie Meng , Wei-Jiang Zou

{\bf Background:} Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d,p) reactions may be viewed as three-body reactions and described with Faddeev techniques. {\bf Purpose:} Faddeev…

Nuclear Theory · Physics 2018-01-03 L. Hlophe , Jin Lei , Ch. Elster , A. Nogga , F. M. Nunes

A new, more efficient approach to include a three nucleon force into three-nucleon continuum calculations is presented. Results obtained in the new and our old approach are compared both for elastic nucleon-deuteron scattering as well as…

Nuclear Theory · Physics 2007-05-23 D. Hüber , H. Kamada , H. Witała , W. Glöckle

We solve the neutron-deuteron (nd) scattering in the Faddeev formalism, employing the NN sector of the quark-model baryon-baryon interaction fss2. The energy-dependence of the NN interaction, inherent to the resonating-group formulation of…

Nuclear Theory · Physics 2011-02-16 Yoshikazu Fujiwara , Kenji Fukukawa

The formalism of two coupled Dirac equations within constraint instant form dynamics is used to study the nucleon-nucleon interaction. The salient features and the final Schroedinger type equation is given. Explicitly energy dependent…

Nuclear Theory · Physics 2007-05-23 H. V. von Geramb , B. Davaadorj , St. Wirsching

We present realistic models of pion-exchange three-nucleon interactions obtained by fitting the energies of all the 17 bound or narrow states of 3 <= A <= 8 nucleons, calculated with less than 2% error using the Green's function Monte Carlo…

Nuclear Theory · Physics 2008-11-26 Steven C. Pieper , V. R. Pandharipande , R. B. Wiringa , J. Carlson

The equation of state (EoS) of neutron matter plays a decisive role in our understanding of the properties of neutron stars as well as the generation of gravitational waves in neutron star mergers. At sufficient densities, it is known that…

Nuclear Theory · Physics 2025-02-24 Hui Tong , Serdar Elhatisari , Ulf-G. Meißner

In treating the relativistic three-quark problem, a dressed-quark propagator parameterization is used which is compatible with recent lattice data and pion observables. Furthermore two-quark correlations are modeled as a series of quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Oettel , R. Alkofer

We apply a recently proposed covariant power counting in nucleon-nucleon interactions to study strangeness $S=-1$ $\Lambda N-\Sigma N$ interactions in chiral effective field theory. At leading order, Lorentz invariance introduces 12 low…

Nuclear Theory · Physics 2018-01-08 Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bing-Wei Long

The system is described by three mass-shell constraints. After a nonlinear transformation of the momenta, the analytic form taken by admissible interactions (allowing compatibility) is characterized in terms of the new variables. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Philippe Droz-Vincent

The relativistic effect on differential cross sections, nucleon-to-nucleon and nucleon-to-deuteron polarization transfer coefficients, and the spin correlation function, of nucleon-deuteron elastic scattering is investigated employing…

Nuclear Theory · Physics 2009-09-25 Sadhan K. Adhikari , Lauro Tomio

A transport theory is developed on the quark level to describe nucleon--nucleon collisions. We treat the strong interaction effectively by the Friedberg-Lee model both in its original and in its modified confining version. First we study…

Nuclear Theory · Physics 2009-10-28 T. Vetter T. S. Biro U. Mosel

Three-body calculations of (d,p) and (p,d) reactions involving one-neutron halo nuclei 11Be and 15C are performed using the framework of Faddeev-type scattering equations. Important effects of the optical potential nonlocality are found…

Nuclear Theory · Physics 2011-08-23 A. Deltuva

We consider low energy inverse problems in three-body scattering and show that if all unknown interactions are small in an appropriate sense then the 2-cluster to 2-cluster S-matrices given at low energies determine the Fourier transform of…

Analysis of PDEs · Mathematics 2009-11-07 Gunther Uhlmann , Andras Vasy

In order to improve the description of the N-d vector analyzing powers Ay and iT11 (the so-called Ay puzzle) a spin-orbit three-body force has been introduced. The L.S term in the NN potential has been modified including a two-parameter…

Nuclear Theory · Physics 2009-10-31 Alejandro Kievsky

We carry out Faddeev calculations of three-alpha (3 alpha) and two-alpha plus Lambda (alpha alpha Lambda) systems, using two-cluster resonating-group method kernels. The input includes an effective two-nucleon force for the alpha alpha…

Nuclear Theory · Physics 2009-11-10 Y. Fujiwara , K. Miyagawa , M. Kohno , Y. Suzuki , D. Baye , J. -M. Sparenberg

Based on the effective-mass concept, we perform the Faddeev calculations for a low-lying spectrum of 3$\alpha$ states in $^{12}$C nucleus. A three-body potential is used to describe the known breaking of the 3$\alpha$-cluster structure in…

Nuclear Theory · Physics 2022-12-05 Igor Filikhin , Abdennaceur Karoui , Branislav Vlahovic

Working with a symmetry-preserving treatment of a vector $\otimes$ vector contact interaction (SCI), a largely algebraic three-body Faddeev equation treatment of the nucleon bound state problem is introduced and used to deliver results for…

High Energy Physics - Phenomenology · Physics 2026-02-04 Xin-Yu Bai , Ya Lu , Zhao-Qian Yao , Craig D. Roberts , Sebastian M. Schmidt

pd capture processes at various energies have been analyzed based on solutions of 3N-Faddeev equations and using modern NN forces. The application of the Siegert theorem is compared to the explicit use of $\pi$- and $\rho$-like exchange…

Nuclear Theory · Physics 2009-11-06 J. Golak , H. Kamada , H. Witała , W. Gloeckle , J. Kuroś , R. Skibiński , V. V. Kotlyar , K. Sagara , H. Akiyoshi

We calculate Ay in neutron-proton scattering for the interactions models WJC-1 and WJC-2 in the Covariant Spectator Theory. We find that the recent 12 MeV measurements performed at TUNL are in better agreement with our results than with the…

Nuclear Theory · Physics 2008-11-26 Franz Gross , Alfred Stadler