Effective field theory of the deuteron with dibaryon field

Abstract

Pionless effective field theory with dibaryon fields is reexamined for observables involving the deuteron. The electromagnetic form factors of the deuteron and the total cross sections of radiative neutron capture on the proton, $np\to d\gamma$, are calculated. The low energy constants of vector(photon)-dibaryon-dibaryon vertices in the effective lagrangian are fixed primarily by the one-body vector(photon)-nucleon-nucleon interactions. This scheme for fixing the values of the low energy constants satisfactorily reproduces the results of the effective range theory. We also show that, by including higher order corrections, one can obtain results that are close to those of Argonne v18 potential model.

25 pages and 11 figures; 16 references added, Figure 6 and 7 replotted, text revised a lot. To be published in Phys. Rev. C

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Cited by in corpus (48)

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• Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order
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• Effective field theory of 3He
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• Parity-violating polarization in $np\to d\gamma$ with a pionless effective field theory
• Investigation of the $nn\Lambda$ bound state in pionless effective theory
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the bound states of ${}^{16}$O in effective field theory
• Taking dibaryon fields seriously
• Isoscalar short-range current in the deuteron induced by an intermediate dibaryon
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Fixing Two-Nucleon Weak-Axial Coupling L_{1,A} From mu-d Capture
• Effective range corrections from effective field theory with di-baryon fields and perturbative pions
• ${}_{\Lambda \Lambda }^4$H in halo effective field theory
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in cluster effective field theory
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• ${}_{\Lambda \Lambda }^{6}He$ in cluster effective field theory
• Effective Field Theory with Dibaryon Fields: Nucleon-Nucleon amplitudes at NNLO
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• Spin Polarization in $\gamma d\to \vec{n}p$ at Low Energies with a Pionless Effective Field Theory
• Cluster effective field theory and nuclear reactions
• Neutrino-Deuteron Reactions at Solar Neutrino Energies in Pionless Effective Field Theory with Dibaryon Fields
• Three-body systems in pionless effective field theory
• Renormalization group analysis of nuclear current operators
• Neutron-Neutron Fusion
• The $S$ matrices of elastic $\alpha$-${}^{12}$C scattering at low energies in effective field theory
• Hypernuclei in Halo/Cluster Effective Field Theory
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
• Spin polarization observables of the deuteron photodisintegration at low energies in pionless effective field theory
• Universal physics of the few-body system of two neutrons and one flavored meson
• Radiative proton capture on ${}^{15}\mathrm{N}$ within effective field theory
• The Born series for $S$-wave quartet $nd$ scattering at small cutoff values
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the sharp resonant $0_3^{+}$ state of ${}^{16}$O
• Hadronic weak interaction in the two-nucleon system with effective field theories
• Polarization of the neutron induced from hadronic weak interactions in the photo-disintegration of the deuteron
• $NN$ scattering in ${}^3{S}_1{-}^3{D}_1$ channels of EFT ($/\pi$)
• Spin observables in the two-nucleon capture and dissociation processes at low energies
• Parity violation in $d\vec{\gamma }->np$ with pionless effective theory
• Effective theory with dibaryons and perturbative pions
• New Photodisintegration Model of GEANT4 for the $d\gamma \to np$ Reaction with a Dibaryon Effective Field Theory
• A renormalization method for three-boson system with a triboson field
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory
• Anomalous mapping between pionfull and pionless EFT's
• Analysis of elastic $\alpha$-${}^{12}$C scattering with global optimization in the cluster effective field theory