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Constraints for the vectorisoscalar channel
Validity of the CE for the vectorisoscalar density,
Eq. (30) for and , imposes through
Eq. (48) at second order the following constraints on
the coupling constants of the functional,



(59) 



(60) 



(61) 



(62) 



(63) 



(64) 



(65) 
whereas the two coupling constants
are left
unrestricted. We note here that the constraints now connect scalar
and vector coupling constants. Altogether, at second order, for the
vectorisoscalar channel of the CE we have 6 free and 8 dependent
coupling constants. Apart from that, 10
secondorder coupling constants must vanish, which includes the
surface ones in Eq. (63), spinorbit ones of the
Eq. (64), and tensor ones in Eq. (65).
For the fourth and sixth orders, analogous constraints are
presented in Appendix B.
Next: Constraints for the vectorisovector
Up: Continuity equations in the
Previous: Constraints for the scalarisovector
Jacek Dobaczewski
20111111