Biswas, S. N. ; Kumar, Aditya ; Saxena, R. P.
(1966)
*Deviations from charge independence in n-p and n-n scattering lengths by S-matrix methods*
Physical Review, 142
(4).
pp. 1141-1144.
ISSN 0031-899X

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Official URL: http://prola.aps.org/abstract/PR/v142/i4/p1141_1

Related URL: http://dx.doi.org/10.1103/PhysRev.142.1141

## Abstract

The difference between the zero-energy ^{1}S_{0}n-p and n-n scattering lengths is calculated, using the dispersion-theoretic method of Dashen and Frautschi, originally employed for calculating electromagnetic mass splittings. We assume that the deviation is due to the perturbative effect of (i) magnetic interaction between nucleons, (ii) electromagnetic mass shifts between exchange bosons, and (iii) electromagnetic mass difference between neutron and proton. Our calculation predicts a(np)-a(nn)=3.58 F, if the definition lim_{q→0}(qcotδ)^{-1}=1/a is used. The result is in qualitative agreement with the experimental value a(np)-a(nn)=7.28±1.9 F. The effects of the ρ^{+}-ρ^{0} mass difference and the vertex corrections, which have been ignored in the calculation, may, hopefully, account for the remaining deviation.

Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |

ID Code: | 26225 |

Deposited On: | 06 Dec 2010 12:53 |

Last Modified: | 23 May 2011 06:30 |

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