Gamow-Teller sum rule in relativistic nuclear models

Abstract

Relativistic corrections are investigated to the Gamow-Teller(GT) sum rule with respect to the difference between the ${\beta }_{-}$ and ${\beta }_{+}$ transition strengths in nuclei. Since the sum rule requires the complete set of the nuclear states, the relativistic corrections come from the anti-nucleon degrees of freedom. In the relativistic mean field approximation, the total GT strengths carried by the nucleon sector is quenched by about 12% in nuclear matter, while by about 8% in finite nuclei, compared to the sum rule value. The coupling between the particle-hole states with the nucleon-antinucleon states is also discussed with the relativistic random phase approximation, where the divergence of the response function is renormalized with use of the counter terms in the Lagrangian. It is shown that the approximation to neglect the divergence, like the no-sea approximation extensively used so far, is unphysical, from the sum-rule point of view.

12 pages, Brief review for Mod. Phys. Lett. A, using ws-mpla.cls

References in corpus (8)

• Determination of the Gamow-Teller Quenching Factor from Charge Exchange Reactions on 90Zr
• Delta-Hole Interaction in Nuclei and the Gamow-Teller Strength in ^90Nb
• The Gamow-Teller Resonance in Finite Nuclei in the Relativistic Random Phase Approximation
• The role of the Dirac sea in the quenching of Gamow-Teller strength
• Effects of the Dirac Sea on the Giant Monopole States
• The Gamow-Teller States in Relativistic Nuclear Models
• The Energy-Weighted and Non Energy-Weighted Gamow-Teller Sum Rules in Relativistic Random Phase Approximation
• Role of the Landau-Migdal Parameters with the Pseudovector and the Tensor Coupling in Relativistic Nuclear Models -- The Quenching of the Gamow-Teller Strength --

Cited by in corpus (3)

• Exotic modes of excitation in atomic nuclei far from stability
• Commutators of the four-current and sum rules in relativistic nuclear models
• Roles of Antinucleon Degrees of Freedom in the Relativistic Random Phase Approximation