Abstract
The partial rates for the capture of muons from certain hyperfine splitting levels of {sup 10,11} B mesic atoms are calculated for several variants of the nuclear shell model. The uncertainty caused by the choice of a model for describing the nuclear wave functions is analysed. It is shown that this uncertainty is minimal if the nuclear wave functions of the initial and final states contain manifest leading components. In this case the ratio {Lambda}{sup +}/{Lambda}{sup -} does not practically change, when transition from one nuclear model to another occurs, and is very sensitive to the value of the induced pseudoscalar interaction constant g{sub p} simultaneously. Therefore it is possible to extract the g{sub p} value with sufficient accuracy from this ratio measured in the reactions {mu}{sup -} + {sup 10} B(3{sub g.s.}{sup +}) -> {nu} + {sup 10} Be(2{sub 2}{sup +}) and {mu}{sup -} + {sup 11} B((3/2){sub g.s.}{sup -}) -> {nu} + {sup 11} Be((1/2){sub 1}{sup -}). 13 refs.; 3 figs.; 7 tabs.
Citation Formats
Kuz`min, V A, Ovchinnikova, A A, and Tetereva, T V.
Muon capture by {sup 10,11} B nuclei: sensibility to the nuclear model choice.
JINR: N. p.,
1993.
Web.
Kuz`min, V A, Ovchinnikova, A A, & Tetereva, T V.
Muon capture by {sup 10,11} B nuclei: sensibility to the nuclear model choice.
JINR.
Kuz`min, V A, Ovchinnikova, A A, and Tetereva, T V.
1993.
"Muon capture by {sup 10,11} B nuclei: sensibility to the nuclear model choice."
JINR.
@misc{etde_10144951,
title = {Muon capture by {sup 10,11} B nuclei: sensibility to the nuclear model choice}
author = {Kuz`min, V A, Ovchinnikova, A A, and Tetereva, T V}
abstractNote = {The partial rates for the capture of muons from certain hyperfine splitting levels of {sup 10,11} B mesic atoms are calculated for several variants of the nuclear shell model. The uncertainty caused by the choice of a model for describing the nuclear wave functions is analysed. It is shown that this uncertainty is minimal if the nuclear wave functions of the initial and final states contain manifest leading components. In this case the ratio {Lambda}{sup +}/{Lambda}{sup -} does not practically change, when transition from one nuclear model to another occurs, and is very sensitive to the value of the induced pseudoscalar interaction constant g{sub p} simultaneously. Therefore it is possible to extract the g{sub p} value with sufficient accuracy from this ratio measured in the reactions {mu}{sup -} + {sup 10} B(3{sub g.s.}{sup +}) -> {nu} + {sup 10} Be(2{sub 2}{sup +}) and {mu}{sup -} + {sup 11} B((3/2){sub g.s.}{sup -}) -> {nu} + {sup 11} Be((1/2){sub 1}{sup -}). 13 refs.; 3 figs.; 7 tabs.}
place = {JINR}
year = {1993}
month = {Dec}
}
title = {Muon capture by {sup 10,11} B nuclei: sensibility to the nuclear model choice}
author = {Kuz`min, V A, Ovchinnikova, A A, and Tetereva, T V}
abstractNote = {The partial rates for the capture of muons from certain hyperfine splitting levels of {sup 10,11} B mesic atoms are calculated for several variants of the nuclear shell model. The uncertainty caused by the choice of a model for describing the nuclear wave functions is analysed. It is shown that this uncertainty is minimal if the nuclear wave functions of the initial and final states contain manifest leading components. In this case the ratio {Lambda}{sup +}/{Lambda}{sup -} does not practically change, when transition from one nuclear model to another occurs, and is very sensitive to the value of the induced pseudoscalar interaction constant g{sub p} simultaneously. Therefore it is possible to extract the g{sub p} value with sufficient accuracy from this ratio measured in the reactions {mu}{sup -} + {sup 10} B(3{sub g.s.}{sup +}) -> {nu} + {sup 10} Be(2{sub 2}{sup +}) and {mu}{sup -} + {sup 11} B((3/2){sub g.s.}{sup -}) -> {nu} + {sup 11} Be((1/2){sub 1}{sup -}). 13 refs.; 3 figs.; 7 tabs.}
place = {JINR}
year = {1993}
month = {Dec}
}