Gamow-Teller unit cross sections for (t,{sup 3}He) and ({sup 3}He,t) reactions

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.054614· OSTI ID:21502485

Perdikakis, G; Austin, Sam M; Galaviz, D; Tur, C ^[1]; Zegers, R G. T.; Deaven, J M; Guess, C J; Hitt, G W; Meharchand, R ^[1]; Bazin, D; Grinyer, G F ^[1]; Caesar, C; Herlitzius, C ^[2]; Gade, A ^[1]; Howard, M E; Smith, E E ^[2]; Noji, S; Sakai, H ^[3]; Shimbara, Y ^[4]

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1. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321 (United States)
2. Joint Institute for Nuclear Astrophysics, Michigan State University, East Lansing, Michigan 48824 (United States)
3. Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033 (Japan)
4. Graduate School of Science and Technology, Niigata University, Niigata 950-2181 (Japan)

The proportionality between differential cross sections at vanishing linear momentum transfer and Gamow-Teller transition strength, expressed in terms of the unit cross section ({sigma}{sub GT}), was studied as a function of target mass number for (t,{sup 3}He) and ({sup 3}He,t) reactions at 115A MeV and 140A MeV, respectively. Existing ({sup 3}He,t) and (t,{sup 3}He) data on targets with mass number 12{<=}A{<=}120 were complemented with new and reevaluated (t,{sup 3}He) data on proton, deuteron, {sup 6}Li, and {sup 12}C targets. It was found that in spite of the small difference in beam energies between the two probes, the unit cross sections have a nearly identical and simple dependence on target mass number A, for A{>=}12: {sigma}{sub GT}=109/A{sup 0.65}. The factorization of the unit cross sections in terms of a kinematical factor, a distortion factor, and the strength of the effective spin-isospin transfer nucleus-nucleus interaction was investigated. Simple phenomenological functions depending on mass number A were extracted for the latter two. By comparison with plane and distorted-wave Born approximation calculations, it was found that the use of a short-range approximation for knock-on exchange contributions to the transition amplitude results in overestimated cross sections for reactions involving the composite ({sup 3}He,t) and (t,{sup 3}He) probes.

• OSTI ID: 21502485
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
ANGULAR MOMENTUM
APPROXIMATIONS
BARYON-BARYON INTERACTIONS
BARYONS
BEAMS
BORN APPROXIMATION
CALCULATION METHODS
CARBON 12
CARBON ISOTOPES
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DEUTERONS
DIFFERENTIAL CROSS SECTIONS
DWBA
ELEMENTARY PARTICLES
ENERGY RANGE
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FACTORIZATION
FERMIONS
GAMOW-TELLER RULES
HADRON-HADRON INTERACTIONS
HADRONS
HELIUM 3
HELIUM 3 REACTIONS
HELIUM ISOTOPES
INTERACTIONS
ISOSPIN
ISOTOPES
KNOCK-ON
LIGHT NUCLEI
LINEAR MOMENTUM TRANSFER
LITHIUM 6
LITHIUM ISOTOPES
MASS NUMBER
MEV RANGE
MEV RANGE 100-1000
MOMENTUM TRANSFER
NUCLEAR REACTIONS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
NUCLEONS
ODD-ODD NUCLEI
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PROTONS
SPIN
STABLE ISOTOPES
TRANSITION AMPLITUDES
TRITON REACTIONS