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Charge asymmetry and neutron-neutron scattering
Nuclear Physics A2M (1971) 498-500 ; © North-Holland PuNlshlne Co., Amsterdam Not to be reproduced by photoprint or microfilm without writtaa permission fo= the publisher
ERRATA AND ADDENDA C. W. WONG, S. K. YOUNG and K. F. LIU, Charge asymmetry and neutronneutron scattering . Nucl . Phys . A253 (1975) 96. A mistake in the proton-proton electromagnetic potential Vp~p used in this paper has been brought to our attention by P. Sauer. The potential used was based on certain erroneous curves contained in fig. 5 of ref. 13) [M . S. Sher et al., Ann. of Phys . 58 (1970) 1] . For example, both V;1P and Vp should be more repulsive than Yom, not less. The correct equations are those given in appendix B of ref. 1 s) . The most important of the resulting corrections are reported here. In addition, we also give the effects due to additional mass and (v/c)z electromagnetic terms in the neutron-neutron potential recently discussed by Sauer (Invited talk, Seventh Int. Conf. on few-body problems in nuclear and particle physics, Delhi, 1975/76) . (a) The last four lines of table 1 should be replaced by the first four lines of the accompanying table. We see that when the correct lPp is used, the differences between the results for the finite Coulomb potential VF and for the full (but static) electromagnetic potential Vein are rather small. This result is in agreement with the finding of Sauer (op. cit.). (b) The next two lines in the table show results [denoted by Vem(M)] obtained by adding the mass term U(AT)Ut -AT, where AT = -(rre; 1-m~ 1)h2Vz is the change in the non-relativistic kinetic energy operator arising from the proton-neutron mass difference. The last two lines give results [denoted by Vem(M+O-O)] obtained by further adding the orbit-orbit interaction term z p ' {F(r) +rrzr) 2mzcz Cl F(r) = S(r)/r, where S(r) gives a finite-size cordiscussed by Sauer (op. cit.). Here rection to the point Coulomb potential. We see from the table that these additional corrections are important in all cases. They are huge for those transformations (cases n = 6, 9, and 10) which cause big increases in the curvature of the wave function. Under the circumstances, the non-relativistic theory used here cannot be very reliable . However, one does expect, and we actually verify, that many of these large corrections are not greatly reduced by using transformations with shorter cutoff distances. Consequently, the short-range constraint becomes ineffective. (c) The last two columns of table 4 should be changed as follows For A = 39, AEc' = -4, -9, -24,1,14,133, -6, -16, -22, -84 keV for transformations 1, . . ., 10 respectively ; Vp(n = 0) = 6927 keV, and - Vp(n = 0) _ 498
ERRATA AND ADDENDA C. W. WONG, S. K. YOUNG and K. F. LIU, Charge asymmetry and neutronneutron scattering . Nucl . Phys . A253 (1975) 96. A mistake in the proton-proton electromagnetic potential Vp~p used in this paper has been brought to our attention by P. Sauer. The potential used was based on certain erroneous curves contained in fig. 5 of ref. 13) [M . S. Sher et al., Ann. of Phys . 58 (1970) 1] . For example, both V;1P and Vp should be more repulsive than Yom, not less. The correct equations are those given in appendix B of ref. 1 s) . The most important of the resulting corrections are reported here. In addition, we also give the effects due to additional mass and (v/c)z electromagnetic terms in the neutron-neutron potential recently discussed by Sauer (Invited talk, Seventh Int. Conf. on few-body problems in nuclear and particle physics, Delhi, 1975/76) . (a) The last four lines of table 1 should be replaced by the first four lines of the accompanying table. We see that when the correct lPp is used, the differences between the results for the finite Coulomb potential VF and for the full (but static) electromagnetic potential Vein are rather small. This result is in agreement with the finding of Sauer (op. cit.). (b) The next two lines in the table show results [denoted by Vem(M)] obtained by adding the mass term U(AT)Ut -AT, where AT = -(rre; 1-m~ 1)h2Vz is the change in the non-relativistic kinetic energy operator arising from the proton-neutron mass difference. The last two lines give results [denoted by Vem(M+O-O)] obtained by further adding the orbit-orbit interaction term z p ' {F(r) +rrzr) 2mzcz Cl F(r) = S(r)/r, where S(r) gives a finite-size cordiscussed by Sauer (op. cit.). Here rection to the point Coulomb potential. We see from the table that these additional corrections are important in all cases. They are huge for those transformations (cases n = 6, 9, and 10) which cause big increases in the curvature of the wave function. Under the circumstances, the non-relativistic theory used here cannot be very reliable . However, one does expect, and we actually verify, that many of these large corrections are not greatly reduced by using transformations with shorter cutoff distances. Consequently, the short-range constraint becomes ineffective. (c) The last two columns of table 4 should be changed as follows For A = 39, AEc' = -4, -9, -24,1,14,133, -6, -16, -22, -84 keV for transformations 1, . . ., 10 respectively ; Vp(n = 0) = 6927 keV, and - Vp(n = 0) _ 498