The two-nucleon system at next-to-next-to-next-to-leading order

Epelbaum, Evgeny; Gloeckle, Walter; Meissner, Ulf-G

doi:10.1016/j.nuclphysa.2004.09.107

Title: The two-nucleon system at next-to-next-to-next-to-leading order

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Abstract

We consider the two-nucleon system at next-to-next-to-next-to-leading order (N{sup 3}LO) in chiral effective field theory. The two--nucleon potential at N{sup 3}LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin--breaking and relativistic corrections. We employ spectral function regularization for the multi--pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low--energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four--nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length.

Authors:: Epelbaum, Evgeny; Gloeckle, Walter; Meissner, Ulf-G

Publication Date:: Sat Jan 01 00:00:00 EST 2005

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Energy Research (ER) (US)

OSTI Identifier:: 835786

Report Number(s):: JLAB-THY-04-228; DOE/ER/40150-3042
TRN: US0500395

DOE Contract Number:: AC05-84ER40150

Resource Type:: Journal Article

Journal Name:: Nuclear Physics A

Additional Journal Information:: Journal Volume: 747; Journal Issue: 2-4; Other Information: PBD: 1 Jan 2005

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PERTURBATION THEORY; PHASE SHIFT; SCATTERING LENGTHS; SPECTRAL FUNCTIONS; PIONS; CHIRALITY

Citation Formats


                    Epelbaum, Evgeny, Gloeckle, Walter, and Meissner, Ulf-G. The two-nucleon system at next-to-next-to-next-to-leading order.  United States: N. p., 2005. 
        Web.  doi:10.1016/j.nuclphysa.2004.09.107.

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                    Epelbaum, Evgeny, Gloeckle, Walter, & Meissner, Ulf-G. The two-nucleon system at next-to-next-to-next-to-leading order.  United States.  https://doi.org/10.1016/j.nuclphysa.2004.09.107

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                    Epelbaum, Evgeny, Gloeckle, Walter, and Meissner, Ulf-G. 2005.  
        "The two-nucleon system at next-to-next-to-next-to-leading order".  United States.  https://doi.org/10.1016/j.nuclphysa.2004.09.107.  https://www.osti.gov/servlets/purl/835786.

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@article{osti_835786,

  title        = {The two-nucleon system at next-to-next-to-next-to-leading order},

  author       = {Epelbaum, Evgeny and Gloeckle, Walter and Meissner, Ulf-G},

  abstractNote = {We consider the two-nucleon system at next-to-next-to-next-to-leading order (N{sup 3}LO) in chiral effective field theory. The two--nucleon potential at N{sup 3}LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin--breaking and relativistic corrections. We employ spectral function regularization for the multi--pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low--energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four--nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length.},

  doi          = {10.1016/j.nuclphysa.2004.09.107},

  url          = {https://www.osti.gov/biblio/835786},
  journal      = {Nuclear Physics A},
number       = 2-4,

  volume       = 747,

  place        = {United States},

  year         = {Sat Jan 01 00:00:00 EST 2005},

  month        = {Sat Jan 01 00:00:00 EST 2005}

}

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