Parity-violating asymmetry in the {sup 3}He(n-vector,p){sup 3}H reaction

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.044001· OSTI ID:21419593

Viviani, M; Kievsky, A ^[1]; Schiavilla, R ^[2]; Girlanda, L; Marcucci, L E ^[1]

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1. INFN-Pisa, I-56127 Pisa (Italy)
2. Department of Physics, Old Dominion University, Norfolk, Virginia 23529 (United States)

The longitudinal asymmetry induced by parity-violating (PV) components in the nucleon-nucleon potential is studied in the charge-exchange reaction {sup 3}He(n-vector,p){sup 3}H at vanishing incident neutron energies. An expression for the PV observable is derived in terms of T-matrix elements for transitions from the {sup 2S+1}L{sub J}={sup 1}S{sub 0} and {sup 3}S{sub 1} states in the incoming n-{sup 3}He channel to states with J=0 and 1 in the outgoing p-{sup 3}H channel. The T-matrix elements involving PV transitions are obtained in first-order perturbation theory in the hadronic weak-interaction potential, while those connecting states of the same parity are derived from solutions of the strong-interaction Hamiltonian with the hyperspherical-harmonics method. The coupled-channel nature of the scattering problem is fully accounted for. Results are obtained corresponding to realistic or chiral two- and three-nucleon strong-interaction potentials in combination with either the DDH or pionless EFT model for the weak-interaction potential. The asymmetries, predicted with PV pion and vector-meson coupling constants corresponding (essentially) to the DDH ''best values'' set, range from -9.44 to -2.48 in units of 10{sup -8}, depending on the input strong-interaction Hamiltonian. This large model dependence is a consequence of cancellations between long-range (pion) and short-range (vector-meson) contributions and is of course sensitive to the assumed values for the PV coupling constants.

• OSTI ID: 21419593
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevC.82.044001; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ASYMMETRY
CHARGE-EXCHANGE REACTIONS
CHIRALITY
COUPLED CHANNEL THEORY
COUPLING CONSTANTS
HAMILTONIANS
HELIUM 3 TARGET
NEUTRON REACTIONS
NEUTRONS
NUCLEON-NUCLEON POTENTIAL
PERTURBATION THEORY
PIONS
PROTON-EMISSION DECAY
S MATRIX
SCATTERING
STRONG INTERACTIONS
TRITIUM
VECTOR MESONS
WEAK INTERACTIONS
BARYON REACTIONS
BARYONS
BASIC INTERACTIONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BOSONS
DECAY
ELEMENTARY PARTICLES
FERMIONS
HADRON REACTIONS
HADRONS
HYDROGEN ISOTOPES
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL OPERATORS
MATRICES
MESONS
NUCLEAR DECAY
NUCLEAR REACTIONS
NUCLEI
NUCLEON REACTIONS
NUCLEONS
ODD-EVEN NUCLEI
PARTICLE PROPERTIES
POTENTIALS
PSEUDOSCALAR MESONS
QUANTUM OPERATORS
RADIOISOTOPES
TARGETS
YEARS LIVING RADIOISOTOPES