Optical model potential analysis of n¯A and nA interactions

Lee, Teck-Ghee; Wong, Cheuk-Yin

doi:10.1103/PhysRevC.97.054617

Title: Optical model potential analysis of $\bar{n} A$ and $n A$ interactions

Journal Article · Fri May 25 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.97.054617· OSTI ID:1439938

Lee, Teck-Ghee ^[1]; Wong, Cheuk-Yin ^[2]

Auburn Univ., AL (United States). Department of Physics
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division

In this study, we use a momentum-dependent optical model potential to analyze the annihilation cross sections of the antineutron $$\overline{n}$$ on C, Al, Fe, Cu, Ag, Sn, and Pb nuclei for projectile momenta p_lab ≲ 500 MeV / c . We obtain a good description of annihilation cross section data of Barbina et al. [Nucl. Phys. A 612, 346 (1997)] and of Astrua et al. [Nucl. Phys. A 697, 209 (2002)] which exhibit an interesting dependence of the cross sections on p_lab as well as on the target mass number A. We also obtain the neutron (n) nonelastic reaction cross sections for the same targets. Comparing the $nA$ reaction cross sections σ$$nA\atop{rec}$$ to the $$\overline{n}A$$ annihilation cross sections σ^{$$\overline{n}A$$}_ann, we find that σ^{$$\overline{n}A$$}_ann is significantly larger than σ$$nA\atop{rec}$$, that is, theσ^{$$\overline{n}A$$}_ann / σ$$nA\atop{rec}$$ cross section ratio lies between the values of about 1.5 to 4.0 in the momentum region where comparison is possible. The dependence of the $$\overline{n}$$ annihilation cross section on the projectile charge is also examined in comparison with the antiproton $$\overline{p}$$. Here we predict the $$\overline{p}A$$ annihilation cross section on the simplest assumption that both $$\overline{p}A$$ and $$\overline{n}A$$ interactions have the same nuclear part of the optical potential but differ only in the electrostatic Coulomb interaction. Finally, deviation from a such simple model extrapolation in measurements will provide new information on the difference between $$\overline{n}A$$ and $$\overline{p}A$$ potentials.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1439938

Alternate ID(s):: OSTI ID: 1439138

Journal Information:: Physical Review C, Vol. 97, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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References (57)

Low-energy antinucleon-nucleus interaction revisited Friedman, E. Hyperfine Interactions, Vol. 234, Issue 1-3 https://doi.org/10.1007/s10751-015-1144-x	journal	February 2015
and annihilation cross sections at very low energy Zenoni, A.; Bianconi, A.; Bonomi, G. Physics Letters B, Vol. 461, Issue 4 https://doi.org/10.1016/S0370-2693(99)00890-4	journal	September 1999
Technical design report for the $\overline{P}$ ANDA (AntiProton Annihilations at Darmstadt) Straw Tube Tracker: Strong interaction studies with antiprotons Erni, W.; Keshelashvili, I.; Krusche, B. The European Physical Journal A, Vol. 49, Issue 2 https://doi.org/10.1140/epja/i2013-13025-8	journal	February 2013
Measurement of the antiproton–nucleus annihilation cross section at 5.3 MeV Bianconi, A.; Corradini, M.; Hori, M. Physics Letters B, Vol. 704, Issue 5 https://doi.org/10.1016/j.physletb.2011.09.069	journal	October 2011
Limits on the neutron-antineutron oscillation time from the stability of nuclei Dover, C. B.; Gal, A.; Richard, J. M. Physical Review C, Vol. 31, Issue 4 https://doi.org/10.1103/PhysRevC.31.1423	journal	April 1985
Antineutron and antiproton nuclear interactions at very low energies Friedman, E. Nuclear Physics A, Vol. 925 https://doi.org/10.1016/j.nuclphysa.2014.02.010	journal	May 2014
The antinucleon–nucleon interaction at low energy: Annihilation dynamics Klempt, Eberhard; Batty, Chris; Richard, Jean-Marc Physics Reports, Vol. 413, Issue 4-5 https://doi.org/10.1016/j.physrep.2005.03.002	journal	July 2005
Simulations of light antinucleus–nucleus interactions Galoyan, A.; Uzhinsky, V. Hyperfine Interactions, Vol. 215, Issue 1-3 https://doi.org/10.1007/s10751-013-0780-2	journal	January 2013
Antineutron–nucleus annihilation cross sections below 400 MeV/c Astrua, M.; Botta, E.; Bressani, T. Nuclear Physics A, Vol. 697, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)01252-0	journal	January 2002
$$n - \bar n$$ transitions in nuclei and mixing of nuclear states with A and A−22 Kondratyuk, L. A. Journal of Experimental and Theoretical Physics Letters, Vol. 64, Issue 7 https://doi.org/10.1134/1.567224	journal	October 1996
Low energy antiproton nuclear absorption cross sections Ashford, V.; Sainio, M. E.; Sakitt, M. Physical Review C, Vol. 31, Issue 2 https://doi.org/10.1103/PhysRevC.31.663	journal	February 1985
Geometrical Relationships of Macroscopic Nuclear Physics Hasse, Rainer W.; Myers, William D. Springer Series in Nuclear and Particle Physics https://doi.org/10.1007/978-3-642-83017-4	book	January 1988
Introduction to High-Energy Heavy-Ion Collisions Wong, Cheuk-Yin https://doi.org/10.1142/1128	book	September 1994
On the Behavior of Cross Sections Near Thresholds Wigner, Eugene P. Physical Review, Vol. 73, Issue 9 https://doi.org/10.1103/PhysRev.73.1002	journal	May 1948
Absorption and Forward Scattering of Antiprotons by C, Al, and Cu Nuclei in the Region 470-880 MeV/ c Nakamura, K.; Chiba, J.; Fujii, T. Physical Review Letters, Vol. 52, Issue 9 https://doi.org/10.1103/PhysRevLett.52.731	journal	February 1984
Ambiguity in antiproton-nucleus potentials from antiprotonic-atom data Wong, Cheuk-Yin; Kerman, A. K.; Satchler, G. R. Physical Review C, Vol. 29, Issue 2 https://doi.org/10.1103/PhysRevC.29.574	journal	February 1984
Annihilation of ultra low energy antiprotons Carbonell, Jaume; Protasov, Konstantin Hyperfine Interactions, Vol. 76, Issue 1 https://doi.org/10.1007/BF02316732	journal	December 1993
Measurement of the antiproton–nucleus annihilation cross-section at low energy Aghai-Khozani, H.; Bianconi, A.; Corradini, M. Nuclear Physics A, Vol. 970 https://doi.org/10.1016/j.nuclphysa.2018.01.001	journal	February 2018
Annihilation cross-sections of antineutrons on C, Al, Cu, Sn and Pb at low momenta (180–280 MeV/c) with the OBELIX spectrometer Ableev, V. G.; Adamo, A.; Agnello, M. Il Nuovo Cimento A Series 11, Vol. 107, Issue 6 https://doi.org/10.1007/BF02731106	journal	June 1994
Extended Glauber model of antiproton-nucleus annihilation for all energies and mass numbers Lee, Teck-Ghee; Wong, Cheuk-Yin Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054601	journal	May 2014
Recurrence relations for distorted-wave Born approximation Coulomb excitation integrals and their use in coupled channel calculations Raynal, Jacques Physical Review C, Vol. 23, Issue 6 https://doi.org/10.1103/PhysRevC.23.2571	journal	June 1981
reaction cross section at 610 MeV/c Balestra, F.; Batusov, Yu. A.; Bendiscioli, G. Physics Letters B, Vol. 149, Issue 1-3 https://doi.org/10.1016/0370-2693(84)91553-3	journal	December 1984
The antiproton-nuclei annihilation cross-section at the momentum range from 0.70 to 2.50 GeV/c Kuzichev, V. F.; Lepikhin, Yu. B.; Smirnitsky, V. A. Nuclear Physics A, Vol. 576, Issue 4 https://doi.org/10.1016/0375-9474(94)90745-5	journal	September 1994
Coulomb corrections to low energy antiproton annihilation cross sections on protons and nuclei Bianconi, A.; Bonomi, G.; Lodi Rizzini, E. Physical Review C, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevC.62.014611	journal	June 2000
Realistic calculations of nuclear disappearance lifetimes induced by $n \bar{n}$ oscillations Friedman, E.; Gal, A. Physical Review D, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevD.78.016002	journal	July 2008
Neutron-antineutron oscillations: Theoretical status and experimental prospects Phillips, D. G.; Snow, W. M.; Babu, K. Physics Reports, Vol. 612 https://doi.org/10.1016/j.physrep.2015.11.001	journal	February 2016
Simulation of AntiMatter–Matter Interactions in Geant4 Galoyan, Aida; Uzhinsky, Vladimir; Ribon, Alberto EPJ Web of Conferences, Vol. 173 https://doi.org/10.1051/epjconf/201817306005	journal	January 2018
Saturation of low-energy antiproton annihilation on nuclei Gal, A.; Friedman, E.; Batty, C. J. Physics Letters B, Vol. 491, Issue 3-4 https://doi.org/10.1016/S0370-2693(00)01040-6	journal	October 2000
p̄p annihilation cross section at very low energy Bertin, A.; Bruschi, M.; Capponi, M. Physics Letters B, Vol. 369, Issue 1 https://doi.org/10.1016/0370-2693(95)01599-X	journal	February 1996
High-energy scattering of protons by nuclei Glauber, R. J.; Matthiae, G. Nuclear Physics B, Vol. 21, Issue 2 https://doi.org/10.1016/0550-3213(70)90511-0	journal	January 1970
Antiproton-deuteron low-energy cross-sections Bizzarri, R.; Guidoni, P.; Marcelja, F. Il Nuovo Cimento A, Vol. 22, Issue 2 https://doi.org/10.1007/BF02813436	journal	July 1974
Inelastic interaction of antiprotons with 4He nuclei between 200 and 600 MeV/c Balestra, F.; Bossolasco, S.; Bussa, M. P. Physics Letters B, Vol. 165, Issue 4-6 https://doi.org/10.1016/0370-2693(85)91227-4	journal	December 1985
Measurement of the n̄-Fe absorption cross section between 125 and 780 MeV/c Barbina, C.; Ahmidouch, A.; Birsa, R. Nuclear Physics A, Vol. 612, Issue 3-4 https://doi.org/10.1016/S0375-9474(96)00331-4	journal	January 1997
Experimental access to Transition Distribution Amplitudes with the P̄ANDA experiment at FAIR Singh, B. P.; Erni, W.; Keshelashvili, I. The European Physical Journal A, Vol. 51, Issue 8 https://doi.org/10.1140/epja/i2015-15107-y	journal	August 2015
Antiproton–neon annihilation at 57 MeV/c Bianconi, A.; Bonomi, G.; Bussa, M. P. Physics Letters B, Vol. 481, Issue 2-4 https://doi.org/10.1016/S0370-2693(00)00463-9	journal	May 2000
New measurements of the annihilation cross section at very low energy Zenoni, A.; Bianconi, A.; Bocci, F. Physics Letters B, Vol. 461, Issue 4 https://doi.org/10.1016/S0370-2693(99)00827-8	journal	September 1999
Local and global nucleon optical models from 1 keV to 200 MeV Koning, A. J.; Delaroche, J. P. Nuclear Physics A, Vol. 713, Issue 3-4 https://doi.org/10.1016/S0375-9474(02)01321-0	journal	January 2003
Antiproton–helium 3 annihilation at 55 MeV/c Bianconi, A.; Bonomi, G.; Bussa, M. P. Physics Letters B, Vol. 492, Issue 3-4 https://doi.org/10.1016/S0370-2693(00)01092-3	journal	January 2000
Neutron-antineutron oscillations in nuclei Dover, C. B.; Gal, A.; Richard, J. M. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 284, Issue 1 https://doi.org/10.1016/0168-9002(89)90239-8	journal	November 1989
Antiproton-helium annihilation around 45 MeV/c Balestra, F.; Barbieri, R.; Batusov, Yu. A. Physics Letters B, Vol. 230, Issue 1-2 https://doi.org/10.1016/0370-2693(89)91649-3	journal	October 1989
Nuclear annihilation by antinucleons Lee, Teck-Ghee; Wong, Cheuk-Yin Physical Review C, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevC.93.014616	journal	January 2016
n̄p annihilation in flight in two mesons in the momentum range between 50 and 400 MeV/c with OBELIX Bertin, A.; Benedettini, A.; Bruschi, M. Nuclear Physics B - Proceedings Supplements, Vol. 56, Issue 1-2 https://doi.org/10.1016/S0920-5632(97)00280-6	journal	June 1997
Measurements of the antiproton-proton annihilation cross-section in the beam momentum range between 180 and 600 MeV/c Br�ckner, W.; Cujec, B.; D�bbeling, H. Zeitschrift f�r Physik A Atomic Nuclei, Vol. 335, Issue 2 https://doi.org/10.1007/BF01294477	journal	June 1990
Antinucleus–nucleus cross sections implemented in Geant4 Uzhinsky, V.; Apostolakis, J.; Galoyan, A. Physics Letters B, Vol. 705, Issue 3 https://doi.org/10.1016/j.physletb.2011.10.010	journal	November 2011
Structure of the antiproton-proton elastic scattering amplitude Galoyan, A. S.; Uzhinskii, V. V. JETP Letters, Vol. 94, Issue 7 https://doi.org/10.1134/S0021364011190076	journal	December 2011
Coupled-channel effective-range expansion of low energy <mml:math display="inline" 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:mrow><mml:mover accent="true"><mml:mo>N</mml:mo><mml:mo>¯</mml:mo></mml:mover><mml:mo>N</mml:mo></mml:mrow></mml:math> scattering Mahalanabis, J.; Pirner, H. J.; Shibata, T. -A. Nuclear Physics A, Vol. 485, Issue 3-4 https://doi.org/10.1016/0375-9474(88)90552-0	journal	August 1988
p low energy parameters from annihilation cross section data Carbonell, J.; Protasov, K. V.; Zenoni, A. Physics Letters B, Vol. 397, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00190-1	journal	April 1997
Initial energy density of quark-gluon plasma in relativistic heavy-ion collisions Wong, Cheuk-Yin Physical Review D, Vol. 30, Issue 5 https://doi.org/10.1103/PhysRevD.30.961	journal	September 1984
Antineutron–proton total cross section from 50 to 400 MeV/c Iazzi, F.; Feliciello, A.; Agnello, M. Physics Letters B, Vol. 475, Issue 3-4 https://doi.org/10.1016/S0370-2693(00)00086-1	journal	March 2000
Peculiar features of the interaction potential between hydrogen and antihydrogen at intermediate separations Teck-Ghee, Lee; Cheuk-Yin, Wong; Lee-Shien, Wang Chinese Physics B, Vol. 17, Issue 8 https://doi.org/10.1088/1674-1056/17/8/024	journal	August 2008
Measurement of the Annihilation Cross-Section for Antineutrons on Fe from 100 to 531 MeV/c Collaboration, Cagliari-Padova-Torino; Agnello, M.; Iazzi, F. Europhysics Letters (EPL), Vol. 7, Issue 1 https://doi.org/10.1209/0295-5075/7/1/003	journal	September 1988
P̄P partial cross sections at low energy Benedettini, A.; Bertin, A.; Bruschi, M. Nuclear Physics B - Proceedings Supplements, Vol. 56, Issue 1-2 https://doi.org/10.1016/S0920-5632(97)00253-3	journal	June 1997
A global nucleon optical model potential Varner, R. L.; Thompson, W. J.; McAbee, T. L. Physics Reports, Vol. 201, Issue 2 https://doi.org/10.1016/0370-1573(91)90039-O	journal	March 1991
Low-energy antiproton-neon interaction Balestra, F.; Bossolasco, S.; Bussa, M. P. Nuclear Physics A, Vol. 452, Issue 4 https://doi.org/10.1016/0375-9474(86)90215-0	journal	May 1986
Unified optical-model approach to low-energy antiproton annihilation on nuclei and to antiprotonic atoms Batty, C. J.; Friedman, E.; Gal, A. Nuclear Physics A, Vol. 689, Issue 3-4 https://doi.org/10.1016/S0375-9474(00)00608-4	journal	July 2001
Neutron-antineutron oscillations in nuclei Dover, C. B.; Gal, A.; Richard, J. M. Physical Review D, Vol. 27, Issue 5 https://doi.org/10.1103/PhysRevD.27.1090	journal	March 1983
Stability of matter–antimatter molecules Wong, Cheuk-Yin; Lee, Teck-Ghee Annals of Physics, Vol. 326, Issue 8 https://doi.org/10.1016/j.aop.2011.04.014	journal	August 2011