Heavy-baryon chiral perturbation theory approach to thermal neutron capture on {sup 3}He

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.034006· OSTI ID:21499469

Lazauskas, Rimantas ^[1]; Song, Young-Ho ^[2]; Park, Tae-Sun ^[3]

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1. IPHC, IN2P3-CNRS/Universite Louis Pasteur, B.P. 28, F-67037 Strasbourg Cedex 2 (France)
2. Department of Physics, Duke University, Durham, North Carolina 27708 (United States)
3. Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208 (United States)

The cross section for radiative thermal neutron capture on {sup 3}He ({sup 3}He+n{yields}{sup 4}He+{gamma}; known as the hen reaction) is calculated based on heavy-baryon chiral perturbation theory. The relevant M1 operators are derived up to next-to-next-to-next-to-leading order (N{sup 3}LO). The initial and final nuclear wave functions are obtained from the rigorous Faddeev-Yakubovski equations for five sets of realistic nuclear interactions. Up to N{sup 3}LO, the M1 operators contain two low-energy constants, which appear as the coefficients of nonderivative two-nucleon contact terms. After determining these two constants using the experimental values of the magnetic moments of the triton and {sup 3}He, we carry out a parameter-free calculation of the hen cross section. The results are in good agreement with the data.

• OSTI ID: 21499469
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevC.83.034006; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
CAPTURE
CHIRALITY
COMPUTERIZED SIMULATION
CROSS SECTIONS
GAMMA DECAY
HELIUM 3
INTERACTIONS
MAGNETIC MOMENTS
NEUTRON REACTIONS
PERTURBATION THEORY
THERMAL NEUTRONS
TRITONS
WAVE FUNCTIONS
BARYON REACTIONS
CHARGED PARTICLES
DECAY
ELEMENTARY PARTICLES
EVEN-ODD NUCLEI
FERMIONS
FUNCTIONS
HADRON REACTIONS
HADRONS
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NEUTRONS
NUCLEAR DECAY
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
NUCLEONS
PARTICLE PROPERTIES
SIMULATION
STABLE ISOTOPES