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Using effective field theory, we calculate the S-factor for the hep process in a totally parameter-free formulation. The transition operators are organized according to chiral counting, and their matrix elements are evaluated using the…

Nuclear Theory · Physics 2007-05-23 T. -S. Park , L. E. Marcucci , R. Schiavilla , M. Viviani , A. Kievsky , S. Rosati , K. Kubodera , D. -P. Min , M. Rho

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 solar proton fusion rate in an…

Nuclear Theory · Physics 2007-05-23 T. -S. Park , L. E. Marcucci , R. Schiavilla , M. Viviani , A. Kievsky , S. Rosati , K. Kubodera , D. -P. Min , M. Rho

Recently we succeeded to make a reliable EFT prediction in a totally parameter-free manner for the $S$ factors for the solar $pp$ and $hep$ processes, $p+p\to d + e^+ +\nu_e$ and $\He3+p \to \He4 + e^+ + \nu_e$. The strategy used in there…

Nuclear Theory · Physics 2015-06-26 Tae-Sun Park

By combining effective field theory with the standard nuclear physics approach (SNPA) we obtain a high-precision estimate of the $S$ factor for the solar $hep$ process. The accurate wave functions available in SNPA are used to evaluate the…

Nuclear Theory · Physics 2007-05-23 Tae-Sun Park , Kuniharu Kubodera , Dong-Pil Min , Mannque Rho

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

The strategy of modern effective field theory is exploited to pin down accurately the flux $S$ factors for the $pp$ and $hep$ processes in the Sun. The technique used is to combine the high accuracy established in few-nucleon systems of the…

Nuclear Theory · Physics 2009-11-07 T. -S. Park , K. Kubodera , D. -P. Min , M. Rho

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

We report an improved low-energy extrapolation of the cross section for the process Beryllium-7+proton -> Boron-8+photon, which determines the Boron-8 neutrino flux from the Sun. Our extrapolant is derived from Halo Effective Field Theory…

Nuclear Theory · Physics 2015-11-11 Xilin Zhang , Kenneth M. Nollett , D. R. Phillips

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 $p$-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 fusion, S_11(E), is obtained with the nuclear matrix element analytically calculated in pionless effective field theory. To the third order, the zero-energy result S_11(0) and the first energy…

Nuclear Theory · Physics 2015-06-11 Jiunn-Wei Chen , C. -P. Liu , Shen-Hsi Yu

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 present a new accurate analysis of the $^3$He$(p,e^+\nu_e)$${}^4$He (''hep'') reaction at astrophysical energies. The S-factor is computed using a state-of-the-art method to calculate the four-nucleon scattering and bound-state wave…

Nuclear Theory · Physics 2026-05-20 Michele Viviani , Alex Gnech , Laura Elisa Marcucci , Alejandro Kievsky , Luca Girlanda

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

An effective field theory technique that combines the standard nuclear physics approach and chiral perturbation theory is applied to the $hen$ process, ${}^{3}{He}+n\to {}^{4}{He}+ \gamma$. For the initial and final nuclear states,…

Nuclear Theory · Physics 2007-05-23 Young-Ho Song , Tae-Sun Park

We use the next-to-leading-order (NLO) amplitude in an effective field theory (EFT) for ${}^3$He + ${}^4$He $\rightarrow {}^7$Be + $\gamma$ to perform the extrapolation of higher-energy data to solar energies. At this order the EFT…

Nuclear Theory · Physics 2018-11-20 Xilin Zhang , Kenneth M. Nollett , Daniel R. Phillips

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

Effective Field Theory(EFT) is, the unique, model independent and systematic low-energy version of QCD for processes involving momenta below the pion mass. A low-energy photo-nuclear observable in three-body systems, photon polarization…

Nuclear Theory · Physics 2008-11-26 H. Sadeghi

A covariant model based on the Bethe-Salpeter formalism is proposed for investigating the solar proton burning process $pp\to De^+\nu_e$ and the near-threshold deuteron disintegration via electromagnetic and weak interactions. Results of…

Nuclear Theory · Physics 2009-09-25 L. P. Kaptari , B. Kämpfer , E. Grosse

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
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