Electromagnetic two-body currents of one- and two-pion range

Pastore, Saori; Schiavilla, Rocco; Goity, Jose

doi:10.1103/PhysRevC.78.064002

Title: Electromagnetic two-body currents of one- and two-pion range

Journal Article · Mon Dec 01 00:00:00 EST 2008 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.78.064002· OSTI ID:956079

Pastore, Saori; Schiavilla, Rocco; Goity, Jose

Nuclear electromagnetic currents are derived in time-ordered perturbation theory within an effective-field-theory framework including explicit nucleons, $$\Delta$$ isobars, and pions up to one loop, or N$^3$LO. The currents obtained at N$^2$$LO, {\it i.e.}~ignoring loop corrections, are used in a study of neutron radiative captures on protons and deuterons at thermal energies, and of $$A$$=2 and 3 nuclei magnetic moments. The wave functions for $$A$$=2 are derived from solutions of the Schr\"odinger equation with the Argonne $$v_{18}$ (AV18) or CD-Bonn (CDB) potentials, while those for $$A$$=3 are obtained with the hyperspherical-harmonics-expansion method from a realistic Hamiltonian including, in addition to the AV18 or CDB two-nucleon, also a three-nucleon potential. With the strengths of the $$\Delta$$-excitation currents occurring at N$^2$LO determined to reproduce the $$n$$-$$p$$ cross section and isovector combination of the trinucleon magnetic moments, we find that the cro

View Journal Article

Cite

Export

Save

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

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-060R23177

OSTI ID:: 956079

Report Number(s):: JLAB-THY-08-885; arXiv:0810.1941; DOE/OR/23177-0499

Journal Information:: Physical Review C, Vol. 78

Country of Publication:: United States

Language:: English

References (38)

Three-body interactions among nucleons and pions Weinberg, Steven Physics Letters B, Vol. 295, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90099-P	journal	November 1992
Quantum Monte Carlo calculations of nuclei with $A <~ 7$ Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Quantum Monte Carlo calculations of magnetic moments and $M 1$ transitions in $A ⩽ 7$ nuclei including meson-exchange currents Marcucci, L. E.; Pervin, Muslema; Pieper, Steven C. Physical Review C, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevC.78.065501	journal	December 2008
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Neutron-deuteron system and the photon polarization parameter at thermal neutron energies Sadeghi, H. Physical Review C, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevC.75.044002	journal	April 2007
Radiative neutron capture on ${}^{3}{He}$ Carlson, J.; Riska, D. O.; Schiavilla, R. Physical Review C, Vol. 42, Issue 3 https://doi.org/10.1103/PhysRevC.42.830	journal	September 1990
Structure and dynamics of few-nucleon systems Carlson, J.; Schiavilla, R. Reviews of Modern Physics, Vol. 70, Issue 3 https://doi.org/10.1103/RevModPhys.70.743	journal	July 1998
Meson exchange effects in n + p → d + γ Riska, D. O.; Brown, G. E. Physics Letters B, Vol. 38, Issue 4 https://doi.org/10.1016/0370-2693(72)90376-0	journal	February 1972
Deuteron photodisintegration at low energies Schmitt, K. -M.; Wilhelm, P.; Arenh�vel, H. Few-Body Systems, Vol. 10, Issue 3 https://doi.org/10.1007/BF01083045	journal	January 1991
A gauge-invariant exchange current for the Paris potential Buchmann, A.; Leidemann, W.; Arenhövel, H. Nuclear Physics A, Vol. 443, Issue 4 https://doi.org/10.1016/0375-9474(85)90221-0	journal	October 1985
Parity-violating interaction effects in the $n p$ system Schiavilla, R.; Carlson, J.; Paris, M. Physical Review C, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevC.70.044007	journal	October 2004
Relativistic Quantum Mechanics Bjorken, James D.; Drell, Sidney D.; Mansfield, J. E. Physics Today, Vol. 18, Issue 3 https://doi.org/10.1063/1.3047288	journal	March 1965
Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator Marcucci, L.; Viviani, M.; Schiavilla, R. Physical Review C, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevC.72.014001	journal	July 2005
Isovector Electromagnetic Exchange Currents and the Nucleon-Nucleon Interaction Riska, D. O. Physica Scripta, Vol. 31, Issue 6 https://doi.org/10.1088/0031-8949/31/6/007	journal	June 1985
Few-nucleon forces from chiral Lagrangians van Kolck, U. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.2932	journal	June 1994
Magnetic form factors of the trinucleons Schiavilla, R.; Pandharipande, V. R.; Riska, D. O. Physical Review C, Vol. 40, Issue 5 https://doi.org/10.1103/PhysRevC.40.2294	journal	November 1989
Theoretical study of the radiative capture reactions ${}^{2}H$ ( n ,γ $)^{3}$ H and ${}^{2}H$ ( p ,γ $)^{3}$ He at low energies Viviani, M.; Schiavilla, R.; Kievsky, A. Physical Review C, Vol. 54, Issue 2 https://doi.org/10.1103/PhysRevC.54.534	journal	August 1996
Effects of Δ-isobar degrees of freedom on low-energy electroweak transitions in few-body nuclei Schiavilla, R.; Wiringa, R. B.; Pandharipande, V. R. Physical Review C, Vol. 45, Issue 6 https://doi.org/10.1103/PhysRevC.45.2628	journal	June 1992
Construction of high-quality NN potential models Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevC.49.2950	journal	June 1994
Two-nucleon potential from chiral Lagrangians Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review C, Vol. 53, Issue 5 https://doi.org/10.1103/PhysRevC.53.2086	journal	May 1996
Evidence for meson-exchange currents in the radiative thermal neutron capture by deuterium nuclei Konijnenberg, M. W.; Abrahams, K.; Kopecky, J. Physics Letters B, Vol. 205, Issue 2-3 https://doi.org/10.1016/0370-2693(88)91652-8	journal	April 1988
Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G. Nuclear Physics A, Vol. 637, Issue 1 https://doi.org/10.1016/S0375-9474(98)00220-6	journal	July 1998
Effective field theory approach for the M1 properties of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> and 3 nuclei Song, Young-Ho; Lazauskas, Rimantas; Park, Tae-Sun Physics Letters B, Vol. 656, Issue 4-5 https://doi.org/10.1016/j.physletb.2007.09.038	journal	November 2007
Measurement of the ${}^{3}{He}$ ( n , γ $)^{4}$ He cross section at thermal neutron energies Wolfs, F. L. H.; Freedman, S. J.; Nelson, J. E. Physical Review Letters, Vol. 63, Issue 25 https://doi.org/10.1103/PhysRevLett.63.2721	journal	December 1989
High-precision, charge-dependent Bonn nucleon-nucleon potential Machleidt, R. Physical Review C, Vol. 63, Issue 2 https://doi.org/10.1103/PhysRevC.63.024001	journal	January 2001
A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states Kievsky, A.; Rosati, S.; Viviani, M. Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 6 https://doi.org/10.1088/0954-3899/35/6/063101	journal	May 2008
Parameter-free effective field theory calculation for the solar proton-fusion and hep processes Park, T. -S.; Marcucci, L. E.; Schiavilla, R. Physical Review C, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevC.67.055206	journal	May 2003
Isospin Mixing in the Nucleon and ${}^{4}{He}$ and the Nucleon Strange Electric Form Factor Viviani, M.; Schiavilla, R.; Kubis, B. Physical Review Letters, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevLett.99.112002	journal	September 2007
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces Weinberg, Steven Nuclear Physics B, Vol. 363, Issue 1 https://doi.org/10.1016/0550-3213(91)90231-L	journal	September 1991
Chiral Lagrangian approach to exchange vector currents in nuclei Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque Nuclear Physics A, Vol. 596, Issue 3-4 https://doi.org/10.1016/0375-9474(95)00406-8	journal	January 1996
Effective field theory calculation of nd radiative capture at thermal energies Sadeghi, H.; Bayegan, S.; Grießhammer, Harald W. Physics Letters B, Vol. 643, Issue 5 https://doi.org/10.1016/j.physletb.2006.10.023	journal	December 2006
Thermal neutron capture cross section of deuterium Jurney, E. T.; Bendt, P. J.; Browne, J. C. Physical Review C, Vol. 25, Issue 5 https://doi.org/10.1103/PhysRevC.25.2810	journal	May 1982
Effective field theory approach to at threshold Park, Tae-Sun; Kubodera, Kuniharu; Min, Dong-Pil Physics Letters B, Vol. 472, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)01438-0	journal	January 2000
Nucleon capture by 3He and the production of solar hep-neutrinos: Cross-section measurements and shell-model calculations Wervelman, R.; Abrahams, K.; Postma, H. Nuclear Physics A, Vol. 526, Issue 2 https://doi.org/10.1016/0375-9474(91)90287-G	journal	April 1991
Induced polarization in the ${}^{2}H$ ( $γ, \vec{n}$ ) ${}^{1}H$ reaction at low energy Schiavilla, R. Physical Review C, Vol. 72, Issue 3 https://doi.org/10.1103/PhysRevC.72.034001	journal	September 2005
Elastic electron deuteron scattering with consistent meson exchange and relativistic contributions of leading order Arenhövel, Hartmuth; Ritz, Frank; Wilbois, Thomas Physical Review C, Vol. 61, Issue 3 https://doi.org/10.1103/PhysRevC.61.034002	journal	February 2000
The two-nucleon system at next-to-next-to-next-to-leading order Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G. Nuclear Physics A, Vol. 747, Issue 2-4 https://doi.org/10.1016/j.nuclphysa.2004.09.107	journal	January 2005

Similar Records

Electromagnetic two-body currents of one- and two-pion range

Journal Article · Mon Dec 15 00:00:00 EST 2008 · Physical Review. C, Nuclear Physics · OSTI ID:956079

Pastore, S; Schiavilla, R; Goity, J L

ELECTROMAGNETIC PROCESSES IN $\chi$EFT

Conference · Thu Jan 01 00:00:00 EST 2009 · OSTI ID:956079

Pastore, Saori; Schiavilla, Rocco; Goity, Jose

ELECTROMAGNETIC PROCESSES IN _χEFT

Conference · Wed Apr 01 00:00:00 EDT 2009 · Mod. Phys. Lett. A · OSTI ID:956079

PASTORE, S.; SCHIAVILLA, R.; GOITY, J. L.

Title: Electromagnetic two-body currents of one- and two-pion range

Citation Formats

References (38)

Similar Records

Related Subjects