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Related papers: The Born series for $S$-wave quartet $nd$ scatteri…

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The understanding of few-nucleon systems at low energies is essential, e.g. for accurate predictions of element abundances in big-bang and stellar fusion. Novel effective field theories, taking only nucleons, or nucleons and pions as…

Nuclear Experiment · Physics 2009-11-10 B. van den Brandt , H. W. Griesshammer , P. Hautle , J. Kohlbrecher , J. A. Konter , O. Zimmer

We derive the asymptotic expansions of the wave function of three particles having equal mass with finite-range interactions and infinite or zero two-dimensional scattering length colliding at zero energy and zero orbital angular momentum,…

Quantum Gases · Physics 2024-04-30 Junjie Liang , Shina Tan

Low-energy theorems (LETs) for effective-range parameters in nucleon-nucleon scattering encode properties of the long-range part of the nuclear force. We compute LETs for S-wave neutron-proton scattering using chiral effective field theory…

Nuclear Theory · Physics 2024-07-03 Oliver Thim

We formulate a renormalizable pionless effective field theory (Pionless EFT) with a non-perturbative treatment of the Coulomb interaction up to next-to-leading order (NLO) for few-nucleon systems. We extract scattering observables for…

Nuclear Theory · Physics 2025-07-23 Matúš Rojik , Martin Schäfer , Mirko Bagnarol , Nir Barnea

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the…

Quantum Gases · Physics 2015-03-17 K. Helfrich , H. -W. Hammer

We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems. Precisely, we derive a sufficient and necessary condition under which the…

Numerical Analysis · Mathematics 2023-07-18 Mirza Karamehmedović , Faouzi Triki

The short-distance production of multi-particle states in high-energy nuclear reactions provides a unique way to study the low-energy properties of few-body systems. In particular, the production amplitude of multi-neutron systems is…

We consider constraints on the isoscalar S-wave pi-N scattering length a+ from pi-deuteron scattering, to third order in small momenta and pion masses in chiral perturbation theory. To this order, the pi-deuteron scattering length is…

Nuclear Theory · Physics 2008-11-26 S. R. Beane , V. Bernard , T. -S. H. Lee , Ulf-G. Meißner

We investigate the multi-channel 4-body scattering system using regularized 2- and 3-body contact interactions. The analysis determines the sensitivity of bound-state energies, scattering phase shifts and cross sections on the cutoff…

Nuclear Theory · Physics 2024-11-04 Sourav Mondal , Rakshanda Goswami , Udit Raha , Johannes Kirscher

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas

Non Efimovian $N$-body resonances are investigated in the regime of a large two-body s wave scattering length. In view of a universal description of low-energy bound and quasi-bound states, a contact model is introduced. The modeling…

Quantum Gases · Physics 2023-08-02 Ludovic Pricoupenko

We consider renormalization of the three-body scattering problem in low-energy effective field theory of self-interacting scalar particles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation. The…

Nuclear Theory · Physics 2017-06-07 E. Epelbaum , J. Gegelia , Ulf-G. Meißner , De-Liang Yao

We develop a new ab initio many-body approach capable of describing simultaneously both bound and scattering states in light nuclei, by combining the resonating-group method with the use of realistic interactions, and a microscopic and…

Nuclear Theory · Physics 2009-12-31 Sofia Quaglioni , Petr Navratil

The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginary part is directly related to the…

Quantum Gases · Physics 2017-10-12 Shangguo Zhu , Shina Tan

We calculate the range corrections to S-wave neutron-deuteron scattering in the doublet channel (S=1/2) to first order in r/a where a is the scattering length and r the effective range. Ultraviolet divergences appearing at this order can be…

Nuclear Theory · Physics 2009-11-07 H. -W. Hammer , Thomas Mehen

The nd doublet and quartet scattering lengths have been calculated based on the modern NN and 3N interactions. We also studied the effect of the electromagnetic interactions in the form introduced in AV18. Switching them off for the various…

Nuclear Theory · Physics 2009-11-10 H. Witala , A. Nogga , H. Kamada , W. Glockle , J. Golak , R. Skibinski

Recent data on photoproduction of $\eta'$ mesons off protons have been included in the data base for the Bonn-Gatchina partial wave analysis. The real and imaginary parts of the $S$-wave $\eta^\prime p\to \eta^\prime p$ scattering amplitude…

Nuclear Experiment · Physics 2018-11-14 A. V. Anisovich , V. Burkert , M. Dugger , E. Klempt , V. A. Nikonov , B. G. Ritchie , A. V. Sarantsev , U. Thoma

The scattering of spin-polarized electrons in an Aharonov--Bohm vector potential is considered. We solve the Pauli equation in 3+1 dimensions taking into account explicitly the interaction between the three-dimensional spin magnetic moment…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Khalilov , Choon-Lin Ho

Scattering phase shift, as a key parameter in scattering theory, plays an important role in characterizing low-energy collisions between ultracold atoms. In this work, we theoretically investigate the universal low-energy behavior of the…

Quantum Gases · Physics 2022-05-25 Cai-Xia Zhang , Shi-Guo Peng

The ${}_{\Lambda\Lambda}^{\ \ 4}$H bound state and the $S$-wave hypertriton(${}_\Lambda^{ \, 3}$H)-$\Lambda$ scattering in spin singlet and triplet channels below the hypertriton breakup momentum scale are studied in halo/cluster effective…

Nuclear Theory · Physics 2014-01-29 Shung-Ichi Ando , Ghil-Seok Yang , Yongseok Oh