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The differential cross-sections for elastic and inelastic neutrino-deuteron scattering are calculated analytically using nucleon-nucleon effective field theory. For elastic scattering, the deuteron axial form factor and the deuteron strange…

Nuclear Theory · Physics 2009-10-31 Malcolm Butler , Jiunn-Wei Chen

Direct reaction experiments provide a powerful tool to probe the structure of neutron-rich nuclei like beryllium-11. We use halo effective field theory to calculate the cross section of the deuteron-induced neutron transfer reaction…

Nuclear Theory · Physics 2019-05-15 M. Schmidt , L. Platter , H. -W. Hammer

We investigate the sensitivity of the cross section for lepton pair production off a deuteron target, $\gamma d \to l^+ l^- d$, to the deuteron charge radius. We show that for small momentum transfers the Bethe-Heitler process dominates,…

High Energy Physics - Phenomenology · Physics 2019-08-28 Carl E. Carlson , Vladyslav Pauk , Marc Vanderhaeghen

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

The characteristics of a meaningful effective field theory (EFT) analysis are discussed and compared with traditional approaches to NN scattering. A key feature of an EFT treatment is a systematic expansion in powers of momentum, which is…

Nuclear Theory · Physics 2007-05-23 James V. Steele

Neutron capture cross-sections have been calculated in nuclei near the N=82 neutron shell closure. These nuclei are of astrophysical interest, participating in s-process and p-process. A semi-microscopic optical model have been used with…

Nuclear Theory · Physics 2018-06-19 Saumi Dutta , Dipti Chakraborty , G. Gangopadhyay , Abhijit Bhattacharyya

We calculate the electromagnetic dipole transition cross sections for the $np \rightarrow d\gamma$ and $ d\gamma \rightarrow np$ reactions over a broad range of energies. We use the LENPIC nucleon-nucleon interaction obtained from chiral…

Nuclear Theory · Physics 2026-05-04 Mamoon A. Sharaf , Weijie Du , Andrey M. Shirokov

We present a comprehensive analysis of the deuteron charge and quadrupole form factors based on the latest two-nucleon potentials and charge density operators derived in chiral effective field theory. The single- and two-nucleon…

Nuclear Theory · Physics 2021-02-17 A. A. Filin , D. Möller , V. Baru , E. Epelbaum , H. Krebs , P. Reinert

The cross section for radiative thermal neutron capture on ${}^{3}He$ ($\He3 +n \to \He4 +\gamma$; known as the $hen$ reaction) is calculated based on heavy-baryon chiral perturbation theory. The relevant M1 operators are derived up to…

Nuclear Theory · Physics 2011-05-09 Rimantas Lazauskas , Young-Ho Song , Tae-Sun Park

The cross sections for low-energy neutrino-deuteron reactions are calculated within heavy-baryon chiral perturbation theory employing cut-off regularization scheme. The transition operators are derived up to next-to-next-to-next-to-leading…

Nuclear Theory · Physics 2009-11-07 S. Ando , Y. H. Song , T. -S. Park , H. W. Fearing , K. Kubodera

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

Making use of the effective field theory expansion recently developed by the authors, we compute the electromagnetic form factors of the deuteron analytically to next-to-leading order (NLO). The computation is rather simple, and involves…

Nuclear Theory · Physics 2009-10-31 David B. Kaplan , Martin J. Savage , Mark B. Wise

The rate for the fusion process $p + p \ra d + e^+ + \nu_e$ is calculated using non-relativistic effective field theory. Including the four-nucleon derivative interaction, results are obtained in next-to-leading order in the momentum…

Nuclear Theory · Physics 2009-11-06 Xinwei Kong , Finn Ravndal

We report a leading-order calculation of radiative ${}^{7}\mathrm{Li}$ neutron captures to both the ground and first excited state of ${}^{8}\mathrm{Li}$ in the framework of a low-energy effective field theory (Halo-EFT). Each of the…

Nuclear Theory · Physics 2014-03-05 Xilin Zhang , Kenneth M. Nollett , D. R. Phillips

The use of argon as a detection and shielding medium for neutrino and dark matter experiments has made the precise knowledge of the cross section for neutron capture on argon an important design and operational parameter. Since previous…

Nuclear Experiment · Physics 2019-07-08 V. Fischer , L. Pagani , L. Pickard , A. Couture , S. Gardiner , C. Grant , J. He , T. Johnson , E. Pantic , C. Prokop , R. Svoboda , J. Ullmann , J. Wang

An effective field theory calculation of the n+p->d+gamma cross section accurate to 1% for center of mass energy E up to ~1 MeV is presented. At these energies, which are relevant for big-bang nucleosynthesis, isovector magnetic transitions…

Nuclear Theory · Physics 2009-10-31 Gautam Rupak

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

We study the four channels associated with neutrino-deuteron breakup reactions at next-to-next to leading order in effective field theory. We find that the total cross-section is indeed converging for neutrino energies up to 20 MeV, and…

Nuclear Theory · Physics 2009-11-06 Malcolm Butler , Jiunn-Wei Chen , Xinwei Kong

We review our recent calculations of electroweak processes involving the deuteron, based on pionless effective field theory with dibaryon fields. These calculations are concerned with neutron-neutron fusion and np -> d gamma at BBN…

Nuclear Theory · Physics 2007-05-23 Shung-ichi Ando

We study breakup of the deuteron induced by neutrinos in the neutral $\nu d\to \nu np$, $\bar{\nu} d\to \bar{\nu} np$ and the charged $\bar{\nu} d\to e^+ n n$, $\nu d\to e^- pp$ processes. Pionless effective field theory with dibaryon…

Nuclear Theory · Physics 2020-06-24 Shung-Ichi Ando , Young-Ho Song , Chang Ho Hyun