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The astrophysical $S$-factor for the proton-proton fusion is calculated in the low-energy regime for a variety of nuclear interactions and consistent nuclear currents, derived within chiral effective field theory. We estimate, for the first…

Nuclear Theory · Physics 2026-03-27 Vittorio Barlucchi , Alex Gnech , Scilla Degl'Innocenti , Laura Elisa Marcucci

We calculate the $S$-factor for proton-proton fusion using chiral effective field theory interactions and currents. By performing order-by-order calculations with a variety of chiral interactions that are regularized and calibrated in…

Nuclear Theory · Physics 2023-07-26 Bijaya Acharya , Laura Elisa Marcucci , Lucas Platter

An analysis of the astrophysical $S$ factor of the proton-proton weak capture ($\mathrm{p}+\mathrm{p}\rightarrow {}^2\mathrm{H}+\mathrm{e}^++\nu_{\mathrm{e}}$) is performed on a large energy range covering solar-core and early Universe…

Nuclear Theory · Physics 2019-10-15 David Gaspard , Jean-Marc Sparenberg , Quentin Wenda , Daniel Baye

The proton-proton fusion process p p->d e^+ nu_e is calculated at threshold to fifth order in pionless effective field theory. There are two unknown two-body currents contributing at the second and fourth orders. Combined with the previous…

Nuclear Theory · Physics 2009-11-07 Malcolm Butler , Jiunn-Wei Chen

We calculate the $p$-wave contribution to the proton-proton fusion $S$ factor and its energy derivative in pionless effective field theory (EFT) up to next-to-leading order. The leading contributions are given by a recoil piece from the…

Nuclear Theory · Physics 2019-08-28 Bijaya Acharya , Lucas Platter , Gautam Rupak

The astrophysical S-factor for proton-proton weak capture is calculated in chiral effective field theory over the center-of-mass relative-energy range 0--100 keV. The chiral two-nucleon potential derived up to next-to-next-to-next-to…

Nuclear Theory · Physics 2013-05-14 L. E. Marcucci , R. Schiavilla , M. Viviani

We compute the $S$-factor of the proton-proton ($pp$) fusion reaction using chiral effective field theory ($\chi$EFT) up to next-to-next-to-leading order (NNLO) and perform a rigorous uncertainty analysis of the results. We quantify the…

Nuclear Theory · Physics 2016-07-27 B. Acharya , B. D. Carlsson , A. Ekström , C. Forssén , L. Platter

Spurred by the recent complete determination of the weak currents in two-nucleon systems up to ${\cal O}(Q^3)$ in heavy-baryon chiral perturbation theory, we carry out a parameter-free calculation of the threshold $S$-factors for the solar…

Nuclear Theory · Physics 2014-11-18 T. -S. Park , L. E. Marcucci , R. Schiavilla , M. Viviani , A. Kievsky , S. Rosati , K. Kubodera , D. -P. Min , M. Rho

The proton-proton fusion reaction, $pp\to de^+\nu$, is studied in pionless effective field theory (EFT) with di-baryon fields up to next-to leading order. With the aid of the di-baryon fields, the effective range corrections are naturally…

Nuclear Theory · Physics 2008-11-26 S. Ando , J. W. Shin , C. H. Hyun , S. W. Hong , K. Kubodera

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process $p + p \ra d + e^+ + \nu_e$ to leading order in the momentum expansion. Coulomb…

Nuclear Theory · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

The astrophysical S-factor for the proton weak capture on 3He is calculated with correlated-hyperspherical-harmonics bound and continuum wave functions corresponding to realistic Hamiltonians consisting of the Argonne v14 or Argonne v18…

Nuclear Theory · Physics 2008-11-26 L. E. Marcucci , R. Schiavilla , M. Viviani , A. Kievsky , S. Rosati , J. F. Beacom

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

Calculations of the reaction rate of the proton radiative capture on 3H at temperatures from 0.01 T9 up to 5 T9, which are based on the theoretical results for the astrophysical S-factor and take into account the latest experimental data,…

Nuclear Theory · Physics 2017-07-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. V. Afanasyeva

The proton-proton fusion rate is calculated at low energy in a lattice effective field theory (EFT) formulation. The strong and the Coulomb interactions are treated non-perturbatively at leading order in the EFT. The lattice results are…

Nuclear Theory · Physics 2018-05-09 Gautam Rupak , Pranaam Ravi

Proton-proton fusion is considered in the effective field theory of Kaplan, Savage and Wise. Coulomb effects are included systematically in a non-perturbative way. Including the dimension-eight derivative coupling which determines the…

Nuclear Theory · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

Three related features of the astrophysical S-factor, (S_{17}), for low energies are an upturn as the energy of the proton goes to zero, a pole at the proton separation energy and a long ranged radial integral peaking at approximately 40…

Nuclear Theory · Physics 2009-10-31 B. K. Jennings

{\bf{Purpose}:} In this paper, the proton resonance width of the near-threshold resonance is calculated using two different approaches. The values of the proton width are used to calculate the low-energy $S$-factor. \\ {\bf{Method:}} First,…

Nuclear Theory · Physics 2023-07-20 A. M. Mukhamedzhanov

The astrophysical $S$ factor for the radiative proton capture process on the $^{15}\mathrm{N}$ nucleus, i.e., $^{15}\mathrm{N}(p, \gamma)^{16}\mathrm{O}$, at stellar energies are studied within the framework of the cluster effective field…

Nuclear Theory · Physics 2024-01-31 Sangyeong Son , Shung-Ichi Ando , Yongseok Oh

In nuclear astrophysics, the experimental scenario is still unclear for BBN relevant energies from 30-300 keV. Here, we report our measurements of cross section and astrophysical S(E) factor for pd capture reaction using proton beam…

Using the Sao Paulo potential and the barrier penetration formalism we have calculated the astrophysical factor S(E) for 946 fusion reactions involving stable and neutron-rich isotopes of C, O, Ne, and Mg for center-of-mass energies E…

Solar and Stellar Astrophysics · Physics 2015-05-18 M. Beard , A. V. Afanasjev , L. C. Chamon , L. R. Gasques , M. Wiescher , D. G. Yakovlev
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