Abstract
The shift in energy levels of μ molecules produced by the nuclear interaction energy has been calculated. It is proportional to the probability of coincidence of the two nuclei and to their zero-energy scattering length. In pμp it is 0.01 eV; in pμd it is 0.005 eV. The effect may be detected by measuring the hyperfine splitting of pμd, of which it is a considerable fraction, and a null test for its presence is given. Its magnitude yields the difference of the nuclear scattering lengths in different spin states. As a by-product of our analysis of the pμd hyperfine splitting, we discuss the possibility it presents, as compared to pμp, of studying the μ-p spin-spin interaction, which is a sensitive test of quantum electrodynamics.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1337-1340 |
| Number of pages | 4 |
| Journal | Physical Review |
| Volume | 151 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1966 |
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Nuclear scattering lengths from the spectroscopy of muonic molecules. / Zwanziger, Daniel.
In: Physical Review, Vol. 151, No. 4, 1966, p. 1337-1340.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Nuclear scattering lengths from the spectroscopy of muonic molecules
AU - Zwanziger, Daniel
PY - 1966
Y1 - 1966
N2 - The shift in energy levels of μ molecules produced by the nuclear interaction energy has been calculated. It is proportional to the probability of coincidence of the two nuclei and to their zero-energy scattering length. In pμp it is 0.01 eV; in pμd it is 0.005 eV. The effect may be detected by measuring the hyperfine splitting of pμd, of which it is a considerable fraction, and a null test for its presence is given. Its magnitude yields the difference of the nuclear scattering lengths in different spin states. As a by-product of our analysis of the pμd hyperfine splitting, we discuss the possibility it presents, as compared to pμp, of studying the μ-p spin-spin interaction, which is a sensitive test of quantum electrodynamics.
AB - The shift in energy levels of μ molecules produced by the nuclear interaction energy has been calculated. It is proportional to the probability of coincidence of the two nuclei and to their zero-energy scattering length. In pμp it is 0.01 eV; in pμd it is 0.005 eV. The effect may be detected by measuring the hyperfine splitting of pμd, of which it is a considerable fraction, and a null test for its presence is given. Its magnitude yields the difference of the nuclear scattering lengths in different spin states. As a by-product of our analysis of the pμd hyperfine splitting, we discuss the possibility it presents, as compared to pμp, of studying the μ-p spin-spin interaction, which is a sensitive test of quantum electrodynamics.
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U2 - 10.1103/PhysRev.151.1337
DO - 10.1103/PhysRev.151.1337
M3 - Article
VL - 151
SP - 1337
EP - 1340
JO - Physical Review
JF - Physical Review
SN - 0031-899X
IS - 4
ER -