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Related papers: Effective Range in Doublet S-wave Neutron-Deuteron…

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We apply the effective field theory approach to the three-nucleon system. In particular, we consider neutron-deuteron scattering and the triton. Precise predictions for S=3/2 scattering are obtained in a straightforward way. In the S=1/2…

Nuclear Theory · Physics 2007-05-23 H. -W. Hammer

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

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

Using the effective-range expansion for the two-body amplitudes may generate spurious sub-threshold poles outside of the convergence range of the expansion. In the infinite volume, the emergence of such poles leads to the breakdown of…

Nuclear Theory · Physics 2023-08-21 M. Ebert , H. -W. Hammer , A. Rusetsky

The S-wave effective range parameters of the neutron-deuteron (nd) scattering are derived in the Faddeev formalism, using a nonlocal Gaussian potential based on the quark-model baryon-baryon interaction fss2. The spin-doublet low-energy…

Nuclear Theory · Physics 2015-03-17 Kenji Fukukawa , Yoshikazu Fujiwara

The real and imaginary part of the quartet S wave phase shift in nd scattering (^4 S_{3/2}) for centre-of-mass momenta of up to 300 MeV (E_cm \approx 70 MeV) is presented in effective field theory, using both perturbative pions and a theory…

Nuclear Theory · Physics 2009-10-31 Paulo F. Bedaque , Harald W. Griesshammer

The S wave pion deuteron scattering length is presented at NLO in the Effective Field Theory formulation of the two nucleon system with perturbative pions. At this order, this observable is determined by the iso-scalar S wave pion nucleon…

Nuclear Theory · Physics 2007-05-23 Bugra Borasoy , Harald W. Griesshammer

Nuclear effective field theory is applied to the effective range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective range expansion in the same way as in the…

Nuclear Theory · Physics 2011-05-12 Ryoichi Seki , U. van Kolck

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

The doublet channel neutron-deuteron scattering amplitude is calculated in leading order effective field theory (EFT). It is shown that this amplitude does not depend on a constant contact interaction three-body force. Satisfactory…

Nuclear Theory · Physics 2009-11-07 B. Blankleider , J. Gegelia

We report on results of the effective theory method applied to neutron-deuteron scattering. We extend previous results in the $J=3/2$ channel to non-zero energies and find very good agreement with experiment without any parameter fitting.

Nuclear Theory · Physics 2010-04-06 P. F. Bedaque , H. -W. Hammer , U. van Kolck

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are calculations of deuteron…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer

We use an effective field theory to compute low-energy nucleon-deuteron scattering. We obtain the quartet scattering length using low energy constants entirely determined from low-energy nucleon-nucleon scattering. We find $a_{th}=6.33$ fm,…

Nuclear Theory · Physics 2009-10-30 P. F. Bedaque , U. van Kolck

We use the framework of effective field theories to discuss the determination of the S-wave \pi N scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several…

Nuclear Theory · Physics 2014-11-18 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

We discuss the effective field theory approach to nuclear phenomena with typical momentum below the pion mass. We particularly focus on the three body problem. In the $J=3/2$ channel,effective field theory is extremelly predictive and we…

Nuclear Theory · Physics 2007-05-23 P. F. Bedaque

An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan

I present the results obtained for several observables in the two-nucleon sector using effective field theory with KSW power-counting and dimensional regularization. In addition to the phase shifts for nucleon-nucleon scattering, several…

Nuclear Theory · Physics 2007-05-23 Martin J. Savage

Motivated by recent advances in the application of effective field theory techniques to light nuclei we revisit the problem of electron-deuteron scattering in these approaches. By sidestepping problems with the description of…

Nuclear Theory · Physics 2009-11-10 Daniel R. Phillips

The phase shifts for the higher partial waves in the spin quartet and doublet channel of nd scattering are presented at next-to-leading and next-to-next-to-leading order in an effective field theory in which pions are integrated out. The…

Nuclear Theory · Physics 2017-08-23 F. Gabbiani

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

Nuclear Theory · Physics 2009-11-10 I. R. Afnan , Daniel R. Phillips
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