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Related papers: Nonperturbative $^3S_1$-$^3D_1$ NN scattering in p…

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We review theoretical progress and prospects for determining the nucleon's static dipole polarisabilities from Compton scattering on few-nucleon targets, including new values; see Refs. [1-5] for details and a more thorough bibliography.

Nuclear Theory · Physics 2016-12-12 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips

We present a study of two-nucleon scattering in chiral effective field theory with a finite cutoff to next-to-leading order in the chiral expansion. In the proposed scheme, the contributions of the lowest-order interaction to the scattering…

Nuclear Theory · Physics 2022-02-23 A. M. Gasparyan , E. Epelbaum

A production representation of partial-wave $S$ matrix is utilized to construct low-energy elastic pion-nucleon scattering amplitudes from cuts and poles on complex Riemann sheets. Among them, the contribution of left-hand cuts is estimated…

High Energy Physics - Phenomenology · Physics 2019-09-04 Yu-Fei Wang , De-Liang Yao , Han-Qing Zheng

We compute the neutron-neutron relative-energy distribution of the triton following the hard knockout of the proton in pionless effective field theory. This distribution can be used to study universality as well as to obtain information on…

Nuclear Theory · Physics 2025-05-28 Tanja Kirchner , Matthias Göbel , Hans-Werner Hammer

The low-energy scattering of two charged particles is analyzed using a renormalization group approach based on dimensional regularization with power-divergence subtraction. A nontrivial solution with a marginally unstable direction is…

Nuclear Theory · Physics 2008-11-26 Shung-ichi Ando , Michael C. Birse

We study low-energy scattering of spin-1/2 baryons from the perspective of quantum information science, focusing on the correlation between entanglement minimization and the appearance of accidental symmetries. The baryon transforms as an…

Quantum Physics · Physics 2023-11-17 Qiaofeng Liu , Ian Low , Thomas Mehen

The pi N --> eta N and eta N --> eta N partial wave T-matrices for the eight lowest partial waves have been obtained in a three coupled channel model with unitarity manifestly imposed. The two physical channels are pi_N and eta_N, and the…

Nuclear Theory · Physics 2014-11-18 Mijo Batinic , Ivo Slaus , Alfred Svarc , B. M. K. Nefkens

In this work we consider the renormalization of the chiral two-pion exchange potential with explicit delta-excitations for nucleon-nucleon scattering at next-to-leading (NLO) and next-to-next-to-leading order (N2LO). Due to the singular…

Nuclear Theory · Physics 2015-03-17 M. Pavon Valderrama , E. Ruiz Arriola

We apply the effective field theory approach to the three-nucleon system. In particular, we consider S=1/2 neutron-deuteron scattering and the triton. We show that in this channel a unique nonperturbative renormalization takes place which…

Nuclear Theory · Physics 2009-10-31 P. F. Bedaque , H. -W. Hammer , U. van Kolck

Using the results presented in the talk by V.Vereshagin (this conference), we illustrate the approach developed in earlier papers by the calculation of (\pi N) elastic scattering amplitude and explain how to derive corresponding bootstrap…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vereshagin

The process of renormalisation in nonperturbative Hamiltonian Effective Field Theory (HEFT) is examined in the $\Delta$-resonance scattering channel. As an extension of effective field theory incorporating the L\"uscher formalism, HEFT…

High Energy Physics - Lattice · Physics 2022-08-31 Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas , Jia-Jun Wu

We present a systematic formulation of scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a composition property similar to its linear analog's. We offer…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

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 study an effective field theory of interacting nucleons at distances much greater than the pion's Compton wavelength. In this regime the NN potential is conjectured to be the sum of a delta function and its derivatives. The question we…

Nuclear Theory · Physics 2009-04-17 S. R. Beane , T. D. Cohen , D. R. Phillips

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully…

High Energy Physics - Theory · Physics 2023-01-04 Hongbin Chen , A. Liam Fitzpatrick , Denis Karateev

The large magnitude and the sign correlation effect in the parity non-conserving resonant scattering of epithermal neutrons from $^{232}$Th is discussed in terms of a non-collective $2p-1h$ local doorway model. General conclusions are drawn…

Nuclear Theory · Physics 2015-06-26 M. S. Hussein , A. K. Kerman , C-Y Lin

We argue that nonperturbative CFT correlation functions admit a Mellin amplitude representation. Perturbative Mellin representation readily follows. We discuss the main properties of nonperturbative CFT Mellin amplitudes: subtractions,…

High Energy Physics - Theory · Physics 2020-08-26 Joao Penedones , Joao A. Silva , Alexander Zhiboedov

For the first time, elastic pion-nucleon scattering is analyzed in the framework of chiral perturbation theory up to fourth order with explicit $\Delta$ degrees of freedom. The analysis is performed within the heavy-baryon expansion as well…

Nuclear Theory · Physics 2020-01-15 Dmitrij Siemens

We investigate in detail the effect of making the range of the ``contact'' interaction used in effective field theory (EFT) calculations of NN scattering finite. This is done in both an effective field theory with explicit pions, and one…

Nuclear Theory · Physics 2008-11-26 K. A. Scaldeferri , D. R. Phillips , C. -W. Kao , T. D. Cohen