Transcript
Page 1: Symmetry Breaking — Results from a Systematic Test of the Soft-Meson Theorems

P H Y S I C A L R E V I E W D V O L U M E 3 , N U M B E R 1 1 1 J U N E 1 9 7 1

Errata

N a t ~ ~ r e of SC'(3) X SCr(3) Sym~netry Breaking - Results from a Systematic Test of the Soft-Meson Theorems. Frank von Hippel and Jae Kwan Kim [ ~ h y s . Rev. D 1, 151 (1970)].

Eq. (1.3): The right-hand side should have i t s sign reversed.

Eq. (3.7): The t e r m on the right-hand side pro- portional to 'Jn, -'XB should have its sign reversed.

Eqs. (4.4) and (4.6): A dot indicating a t ime derivative i s missing over the A$(O) on the left- hand side.

Eq. (4.17): This equation should read

Eq. (Al l ) : The right-hand side should be multi- plied by 3 .

Table I: The experimental TN scattering lengths were quoted in pion Compton wavelengths ra ther than fermis. They should therefore be multiplied by ~ 1 . 4 .

Table 11: In the column under "Experimental values" the nN entries become

because of the e r r o r in Table I. Table 111: In the column under AReT, the nN en-

t r i e s become

also because of the e r r o r in Table I. The values in the column under T , should be multiplied by a factor of 3 because of the e r r o r in Eq. (A.l l) .

Most of the sign e r r o r s occurred in the change of sign convention for 3K from our ear l ie r Letter1 to the art icle. They, therefore, do not affect our numbers. The numerical e r r o r s a r e minor and do not affect our conclusions. We a r e indebted to Robert Cahn for bringing most of these e r r o r s t o our attention.

(;enera1 Local Interactions and Tests of I;-A Theory in Neutrino Scattering Processes, T. P. Cheng and Wu-Ki Tung [Phys. Rev. D 3, 733 (1971)l. Fac- t o r s of $ should be omittedin the expression for I, and I, in Eq. (38). In Eq. (49), J's should be r e - placed by V's in expressions for a, and a,. In Eq. (Al), a t e rm T(,, should be inserted after the factor \Ern, (1 +m ,2 /qZ)112. In the las t para- graph of Appendix C, the correc t equation should read 3a, = b,.

Possible Test of the A S = AQ Rule in K ; , Decay in a Regeneration Experiment, Abdul Ebrahim [ ~ h y s . Rev. D 3, 109 (1971)]. The las t expression follow- ing Eq. (4) should read

Coincidence Measure~nents of Single-Pion Electropro- duction near the A ( 1236) Resonance, C. Mistretta, J. A. Appel, R. J. Budnitz, L. Carroll , J. Chen, J. R. Dunning, Jr., M. Goitein, K. Hanson, D. C. Imrie, and Richard Wilson, [Phys. Rev. 184, 1487 (1969)l. The overall sign of the ( M , ~ M ; ) * interference t e rm in the A coefficient on page 1500 should be positive instead of negative. The num- b e r s presented in Table VI a r e slightly al tered and can be recalculated using Table IV and Eqs. (17). We wish to thank J. Gayler for bringing th is t o our attention.

IF. von Hippel and J. K. Kim, Phys. Rev. Letters 22, 740 (1969).

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