skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Parity-violating asymmetry in the He 3 ( n⃗ , p ) H 3 reaction

Abstract

The longitudinal asymmetry induced by parity-violating (PV) components in the nucleon-nucleon potential is studied in the charge-exchange reaction 3He(~n, p)3H at vanishing incident neutron energies. An expression for the PV observable is derived in terms of T-matrix elements for transitions from the 2S+1LJ = 1S0 and 3S1 states in the incoming n-3He channel to states with J = 0 and 1 in the outgoing p-3H 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?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 formore » the PV coupling constants.« less

Authors:
; ; ; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1259281
Report Number(s):
JLAB-THY-10-1184; DOE/OR/23177-1222; arXiv:1007.2052
Journal ID: ISSN 0556-2813; PRVCAN
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 82; Journal Issue: 4; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English

Citation Formats

Viviani, M., Schiavilla, R., Girlanda, L., Kievsky, A., and Marcucci, L. E.. Parity-violating asymmetry in the He3 ( n⃗,p ) H3 reaction. United States: N. p., 2010. Web. doi:10.1103/PhysRevC.82.044001.
Viviani, M., Schiavilla, R., Girlanda, L., Kievsky, A., & Marcucci, L. E.. Parity-violating asymmetry in the He3 ( n⃗,p ) H3 reaction. United States. https://doi.org/10.1103/PhysRevC.82.044001
Viviani, M., Schiavilla, R., Girlanda, L., Kievsky, A., and Marcucci, L. E.. Fri . "Parity-violating asymmetry in the He3 ( n⃗,p ) H3 reaction". United States. https://doi.org/10.1103/PhysRevC.82.044001. https://www.osti.gov/servlets/purl/1259281.
@article{osti_1259281,
title = {Parity-violating asymmetry in the He3 ( n⃗,p ) H3 reaction},
author = {Viviani, M. and Schiavilla, R. and Girlanda, L. and Kievsky, A. and Marcucci, L. E.},
abstractNote = {The longitudinal asymmetry induced by parity-violating (PV) components in the nucleon-nucleon potential is studied in the charge-exchange reaction 3He(~n, p)3H at vanishing incident neutron energies. An expression for the PV observable is derived in terms of T-matrix elements for transitions from the 2S+1LJ = 1S0 and 3S1 states in the incoming n-3He channel to states with J = 0 and 1 in the outgoing p-3H 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?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.},
doi = {10.1103/PhysRevC.82.044001},
url = {https://www.osti.gov/biblio/1259281}, journal = {Physical Review C},
issn = {0556-2813},
number = 4,
volume = 82,
place = {United States},
year = {2010},
month = {10}
}