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Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the…

Nuclear Theory · Physics 2008-11-26 Michael C. Birse

The role of the low lying nucleon resonances beyond the $\Delta(1232)$ in the reaction $pp\to pp\pi^0$ near threshold is shown to be numerically significant by a calculation, which takes into account the pion re-scattering contribution…

Nuclear Theory · Physics 2009-10-31 M. T. Peña , D. O. Riska , A. Stadler

The low energy effective field theory of interacting neutrinos derived from the Standard Model may be framed as a pointlike interaction and thereby modeled on a lattice of neutrino momenta. We identify a path to take a continuum limit of…

High Energy Physics - Phenomenology · Physics 2026-02-09 Michael J. Cervia

The density and temperature dependence of nucleonic single particle spectral function in symmetric nuclear matter at finite temperatures and densities beyond normal nuclear matter density is investigated in a model emphasizing short-range…

Nuclear Theory · Physics 2009-11-10 Frank Froemel , Horst Lenske , Ulrich Mosel

The general formulas to calculate the phase shifts of wave function of a particle scattering on a target formed by a pair of non-identical zero-range potentials are derived. It is shown that at asymptotically great distances from the target…

Quantum Physics · Physics 2022-06-20 A. S. Baltenkov , I. Woiciechowski

Despite the progress made in understanding the NN interactions at long distances based on effective field theories, the understanding of the dynamics of short range NN interactions remains as elusive as ever. One of the most fascinating…

Nuclear Theory · Physics 2014-03-05 Misak M Sargsian

We show that it is possible to define shape-independent three-dimensional short-range quantum interactions in two parameter form for non-spherical angular momentum channels through double rescaling of potential strength. Unlike the special…

Quantum Physics · Physics 2011-11-10 Taksu Cheon

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate non-perturbatively Coulomb corrections to proton-proton scattering. Including the dimension-eight derivative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of $M_\pi\simeq 450$ MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and…

Nuclear Theory · Physics 2016-07-20 V. Baru , E. Epelbaum , A. A. Filin

Nonperturbative effective field theory calculations for NN scattering seem to break down at rather low momenta. By examining several toy models, we clarify how effective field theory expansions can in general be used to properly separate…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , James V. Steele

Conventional nucleon-nucleon potentials with strong short-range repulsion require contributions from high-momentum wave function components even for low-energy observables such as the deuteron binding energy. This can lead to the…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , R. J. Perry , A. Schwenk

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

We examine the role of the Delta-Delta intermediate state in low energy NN scattering using effective field theory. Theories both with and without pions are discussed. They are regulated with dimensional regularization and MSbar…

Nuclear Theory · Physics 2008-11-26 Martin J. Savage

There is much current interest in treating low energy nuclear physics using the renormalization group (RG) and effective field theory (EFT). Inspired by this RG-EFT approach, we study a low-momentum nucleon-nucleon (NN) interaction,…

Nuclear Theory · Physics 2009-11-10 Jason D. Holt , T. T. S. Kuo , G. E. Brown , Scott K. Bogner

In order to settle the fundamental question whether the nuclear forces involve the long range components, the S-wave amplitude of the proton-proton scattering is analysed in search for the extra singularity at $\nu=0$, which corresponds to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Tetsuo Sawada

The electromagnetic potential consisting in the Coulomb plus the magnetic moment interactions between two nucleons is studied in nucleon-deuteron scattering. For states in which the relative N-d angular momentum L has low values the…

Nuclear Theory · Physics 2009-11-10 A. Kievsky , M. Viviani , L. E. Marcucci

This paper has a two-fold purpose: 1) to clarify the difference between contact and weak-contact interactions (called point interactions in [A] in the case $N=2$) in three dimensions and their role in providing spectral properties and…

Mathematical Physics · Physics 2018-06-25 Gianfausto Dell'Antonio

The role played by nucleon-nucleon short-range correlations in photon- and electron-nucleus reactions is analyzed with a model which includes all the diagrams containing a single correlation function. The excitation of low-lying high-spin…

Nuclear Theory · Physics 2007-05-23 Antonio M. Lallena , Marta Anguiano , Giampaolo Co'

An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze…

Nuclear Theory · Physics 2013-09-09 L. Platter

We develop a scheme to take into account the effects of short-range nucleon-nucleon correlations in the nucleon-pair wave function by solving the Bethe-Goldstone equation for a coarse grained delta shell potential in S-wave configuration.…

Nuclear Theory · Physics 2017-05-31 I. Ruiz Simo , R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola