Extrapolation of scattering data to the negative-energy region

Blokhintsev, L. D.; Kadyrov, A. S.; Mukhamedzhanov, A. M.; Savin, D. A.

doi:10.1103/PhysRevC.95.044618

Title: Extrapolation of scattering data to the negative-energy region

Authors:: Blokhintsev, L. D.; Kadyrov, A. S.; Mukhamedzhanov, A. M.; Savin, D. A.

Publication Date:: Wed Apr 26 00:00:00 EDT 2017

Sponsoring Org.:: USDOE

OSTI Identifier:: 1353284

Grant/Contract Number:: DEFG02-93ER40773

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Name: Physical Review C Journal Volume: 95 Journal Issue: 4; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., and Savin, D. A. Extrapolation of scattering data to the negative-energy region.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevC.95.044618.

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                    Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., & Savin, D. A. Extrapolation of scattering data to the negative-energy region.  United States.  https://doi.org/10.1103/PhysRevC.95.044618

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                    Blokhintsev, L. D., Kadyrov, A. S., Mukhamedzhanov, A. M., and Savin, D. A. Wed .  
"Extrapolation of scattering data to the negative-energy region".  United States.  https://doi.org/10.1103/PhysRevC.95.044618.

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@article{osti_1353284,

  title        = {Extrapolation of scattering data to the negative-energy region},

  author       = {Blokhintsev, L. D. and Kadyrov, A. S. and Mukhamedzhanov, A. M. and Savin, D. A.},

  abstractNote = {},

  doi          = {10.1103/PhysRevC.95.044618},

  journal      = {Physical Review C},

  number       = 4,

  volume       = 95,

  place        = {United States},

  year         = {Wed Apr 26 00:00:00 EDT 2017},

  month        = {Wed Apr 26 00:00:00 EDT 2017}

}

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Works referenced in this record:

Asymptotic normalization coefficients, spectroscopic factors, and direct radiative capture rates
journal, January 2001

Mukhamedzhanov, A. M.; Gagliardi, C. A.; Tribble, R. E.
Physical Review C, Vol. 63, Issue 2
DOI: 10.1103/PhysRevC.63.024612

Primordial $α + d \to {}^{6}{Li} + γ$ reaction and second lithium puzzle
journal, April 2016

Mukhamedzhanov, A. M.; Bertulani, C. A.
Physical Review C, Vol. 93, Issue 4
DOI: 10.1103/PhysRevC.93.045805

αα scattering in halo effective field theory
journal, September 2008

Higa, R.; Hammer, H. -W.; van Kolck, U.
Nuclear Physics A, Vol. 809, Issue 3-4
DOI: 10.1016/j.nuclphysa.2008.06.003

Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances
journal, June 1999

Mukhamedzhanov, A. M.; Tribble, R. E.
Physical Review C, Vol. 59, Issue 6
DOI: 10.1103/PhysRevC.59.3418

Theoretical study of the $α + d \to {}^{6}{Li} + γ$ astrophysical capture process in a three-body model
journal, July 2016

Tursunov, E. M.; Kadyrov, A. S.; Turakulov, S. A.
Physical Review C, Vol. 94, Issue 1
DOI: 10.1103/PhysRevC.94.015801

Asymptotic normalization coefficients and radiative widths
journal, July 2015

Mukhamedzhanov, A. M.; Pang, D. Y.
Physical Review C, Vol. 92, Issue 1
DOI: 10.1103/PhysRevC.92.014625

Coulomb corrections in non-relativistic scattering
journal, January 1973

Hamilton, J.; Øverbö, I.; Tromborg, B.
Nuclear Physics B, Vol. 60
DOI: 10.1016/0550-3213(73)90193-4

Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering
journal, August 2008

Quaglioni, Sofia; Navrátil, Petr
Physical Review Letters, Vol. 101, Issue 9
DOI: 10.1103/PhysRevLett.101.092501

Reexamination of the astrophysical $S$ factor for the $α$ + $d \to^{6}$ Li+ $γ$ reaction
journal, May 2011

Mukhamedzhanov, A. M.; Blokhintsev, L. D.; Irgaziev, B. F.
Physical Review C, Vol. 83, Issue 5
DOI: 10.1103/PhysRevC.83.055805

Causality constraints for charged particles
journal, March 2013

König, Sebastian; Lee, Dean; Hammer, H-W
Journal of Physics G: Nuclear and Particle Physics, Vol. 40, Issue 4
DOI: 10.1088/0954-3899/40/4/045106

Triple-differential cross section of the Coulomb breakup and astrophysical -factor of the reaction at extremely low energies
journal, June 2000

Igamov, S. B.; Yarmukhamedov, R.
Nuclear Physics A, Vol. 673, Issue 1-4
DOI: 10.1016/S0375-9474(00)00132-9

Influence of low-energy scattering on loosely bound states
journal, January 2010

Sparenberg, Jean-Marc; Capel, Pierre; Baye, Daniel
Physical Review C, Vol. 81, Issue 1
DOI: 10.1103/PhysRevC.81.011601

Overall Normalization of the Astrophysical $S$ Factor and the Nuclear Vertex Constant for ${}^{7}{Be} {(p, γ)}^{8} B$ Reactions
journal, October 1994

Xu, H. M.; Gagliardi, C. A.; Tribble, R. E.
Physical Review Letters, Vol. 73, Issue 15
DOI: 10.1103/PhysRevLett.73.2027

Radius of $^{8} B$ halo from the asymptotic normalization coefficient
journal, April 2001

Carstoiu, F.; Trache, L.; Gagliardi, C. A.
Physical Review C, Vol. 63, Issue 5
DOI: 10.1103/PhysRevC.63.054310

Analytical structure and properties of Coulomb wave functions for real and complex energies
journal, July 1984

Humblet, J.
Annals of Physics, Vol. 155, Issue 2
DOI: 10.1016/0003-4916(84)90009-5

Determination of the ${}^{6}α$ + d vertex constant (asymptotic coefficient) from the ${}^{4}{He}$ + d phase-shift analysis
journal, November 1993

Blokhintsev, L. D.; Kukulin, V. I.; Sakharuk, A. A.
Physical Review C, Vol. 48, Issue 5
DOI: 10.1103/PhysRevC.48.2390

Resonance-state properties from a phase shift analysis with the $S$ -matrix pole method and the effective-range method
journal, February 2015

Irgaziev, B. F.; Orlov, Yu. V.
Physical Review C, Vol. 91, Issue 2
DOI: 10.1103/PhysRevC.91.024002

Improving the convergence of NN effective field theory
journal, February 2000

Phillips, Daniel R.; Rupak, Gautam; Savage, Martin J.
Physics Letters B, Vol. 473, Issue 3-4
DOI: 10.1016/S0370-2693(99)01496-3

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Title: Extrapolation of scattering data to the negative-energy region

Citation Formats

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Improving the convergence of NN effective field theory journal, February 2000

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Primordial $α + d \to {}^{6}{Li} + γ$ reaction and second lithium puzzle
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αα scattering in halo effective field theory
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Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances
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