Variation in displacement energies due to isospin nonconserving forces

Abstract

For mirror nuclei with masses A=42-95, the effects of isospin nonconserving nuclear forces are studied with nuclear shell model using the Coulomb displacement energy and triplet displacement energy as probes. It is shown that the characteristic behavior of the displacement energies can be well reproduced if the isovector and isotensor nuclear interactions with J=0 and T=1 are introduced into the f7/2 shell. These forces, with their strengths being found consistent with the nucleon-nucleon scattering data, tend to modify nuclear binding energies near the N=Z line. At present, no evidence is found that these forces are needed for the upper fp-shell. Theoretical one- and two-proton separation energies are predicted accordingly, and locations of the proton drip-line are thereby suggested.

5 pages, 5 figures, accepted for publication in Physical Review Letters

References in corpus (3)

• Charge Symmetry Breaking and QCD
• Coulomb energy difference as a probe of isospin-symmetry breaking in the upper fp-shell nuclei
• Isospin symmetry breaking at high spins in the mirror pair 67Se and 67As

Cited by in corpus (28)

• Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei
• Isochronous mass measurements of $T_z=-1$ $fp$-shell nuclei from projectile fragmentation of ${}^{58}$Ni
• Improved radial basis function approach with the odd-even corrections
• Solution of universal nonrelativistic nuclear DFT equations in the Cartesian deformed harmonic-oscillator basis. (IX) HFODD (v3.06h): a new version of the program
• Isospin nonconserving interaction in the T=1 analogue states of the mass-70 region
• Systematic calculations of $\alpha$-decay half-lives with an improved empirical formula
• Isospin-symmetry breaking in superallowed Fermi beta-decay due to isospin-nonconserving forces
• Mirror Energy Differences at Large Isospin Studied through Direct Two-Nucleon Knockout
• Spectroscopy of proton-rich 66^Se up to J^π = 6^+: isospin-breaking effect in the A = 66 isobaric triplet
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• The Masses of the $T_z=-3/2$ Nuclei ${}^{27}$P and ${}^{29}$S
• Generalized isobaric multiplet mass equation and its application to the Nolen-Schiffer anomaly
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Correlating charge radius with quadrupole deformation and $B(E2)$ in atomic nuclei
• Shell model analysis of the $B(E2,2^{+}\to 0^{+})$'s in the A=70 T=1 triplet
• High precision mass measurements of the isomeric and ground states of ${}^{44}$V: improving constraints on the IMME parameters of the A=44, ${\text{0}}^{\text{+}}$ quintet
• Beyond Wigner's isobaric multiplet mass equation: Effect of charge-symmetry-breaking interaction and Coulomb polarization
• Isobaric-multiplet mass equation in a macroscopic-microscopic approach
• Mirror energy differences in T=1/2 f7/2-shell nuclei within isospin-dependent DFT
• Statistical errors in Weizsaecker-Skyrme mass model
• Neutrino Spectra from Nuclear Weak Interactions in $sd$-Shell Nuclei Under Astrophysical Conditions
• Coulomb displacement energies as a probe for nucleon pairing in the $f_{7/2}$ shell
• Exploring isospin-nonconserving effects in the upper $fp$ shell with new mass measurements
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Shell model study of isobaric analog states for $T_z=\pm 2$ nuclei using isospin non-conserving interactions
• Impact of the nuclear mass uncertainties on the r process