Publications
Publication Information
Title | Local chiral interactions and magnetic structure of few-nucleon systems |
Authors | Rocco Schiavilla, Alessandro Baroni, Saori Pastore, Maria Piarulli, Luca Girlanda, Alejandro Kievsky, Alessandro Lovato, Laura Marcucci, Steven Pieper, Michele Viviani, Robert Wiringa |
JLAB number | JLAB-THY-18-2807 |
LANL number | arXiv:1809.10180 |
Other number | DOE/OR/23177-4541 |
Document Type(s) | (Journal Article) |
Associated with EIC: | No |
Supported by Jefferson Lab LDRD Funding: | No |
Funding Source: | Nuclear Physics (NP) |
Journal Compiled for Physical Review C Volume 99 Issue 03 Page(s) 034005 Refereed | |
Publication Abstract: | The magnetic form factors of $^2$H, $^3$H, and $^3$He, deuteron photodisintegration cross sections at low energies, and deuteron threshold electrodisintegration cross sections at backward angles in a wide range of momentum transfers, are calculated with the chiral two-nucleon (and three-nucleon) interactions including $\Delta$ intermediate states that have recently been constructed in configuration space. The $A\,$=$\,$3 wave functions are obtained from hyperspherical-harmonics solutions of the Schr\"odinger equation. The electromagnetic current includes one- and two-body terms, the latter induced by one- and two-pion exchange (OPE and TPE, respectively) mechanisms and contact interactions. The contributions associated with $\Delta$ intermediate states are only retained at the OPE level, and are neglected in TPE loop (tree-level) corrections to two-body (three-body) current operators. Expressions for these currents are derived and regularized in configuration space for consistency with the interactions. The low-energy constants that enter the contact and sub-leading (isoscalar) OPE currents are determined by reproducing the magnetic moments of these few-nucleon systems. The predicted form factors and deuteron electrodisintegration cross section are in excellent agreement with experiment for momentum transfers up to 2--3 fm$^{-1}$. However, the experimental values for the deuteron photodisintegration cross section are consistently underestimated by theory, unless use is made of the Siegert form of the electric dipole transition operator. A complete analysis of the results is provided, including the clarification of the origin of the aforementioned discrepancy. |
Experiment Numbers: | other |
Group: | THEORY CENTER |
Document: | |
DOI: | https://doi.org/10.1103/PhysRevC.99.034005 |
Accepted Manuscript: | em_nv_publish.pdf |
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