Bibliography

1

W. Heisenberg.
Z. Phys., 77:1, 1932.

2

E. Wigner.
On the consequences of the symmetry of the nuclear hamiltonian on the spectroscopy of nuclei.
Phys. Rev., 51:106-119, Jan 1937.

3

R. Machleidt.
Phys. Rev. C, 63:024001, 2001.

4

G. A. Miller and W. H. T. van Oers.
Symmetries and Fundamental Interactions in Nuclei.
World Scientific, 1995.

5

E. M. Henley and G. A. Miller.
Mesons in Nuclei.
North Holland, 1979.

6

R. B. Wiringa, S. Pastore, Steven C. Pieper, and Gerald A. Miller.
Charge-symmetry breaking forces and isospin mixing in ${}^{8}$be.
Phys. Rev. C, 88:044333, Oct 2013.

7

Markus Walzl, Ulf-G. Meißner, and Evgeny Epelbaum.
Charge-dependent nucleon–nucleon potential from chiral effective field theory.
Nuclear Physics A, 693(3–4):663 - 692, 2001.

8

E. Epelbaum, H.-W. Hammer, and Ulf-G. Meißner.
Modern theory of nuclear forces.
Rev. Mod. Phys., 81:1773-1825, Dec 2009.

9

B. A. Brown, W. A. Richter, and R Lindsay.
Displacement energies with the skyrme hartree–fock method.
Physics Letters B, 483(1–3):49 - 54, 2000.

10

Toshio Suzuki, H. Sagawa, and N. Van Giai.
Charge independence and charge symmetry breaking interactions and the coulomb energy anomaly in isobaric analog states.
Phys. Rev. C, 47:R1360-R1363, Apr 1993.

11

J. A. Nolen, Jr and J. P. Schiffer.
Coulomb energies.
Ann. Rev. Nucl. Sci., 19:471, Dec 1969.

12

K. Kaneko, Y. Sun, T. Mizusaki, and S. Tazaki.
Variation in displacement energies due to isospin-nonconserving forces.
Phys. Rev. Lett., 110:172505, Apr 2013.

13

G. Colò, H. Sagawa, N. Van Giai, P. F. Bortignon, and T. Suzuki.
Widths of isobaric analog resonances: A microscopic approach.
Phys. Rev. C, 57:3049-3054, Jun 1998.

14

W. Satua, J. Dobaczewski, M. Konieczka, and W. Nazarewicz.
Isospin mixing within the symmetry restored density functional theory and beyond.
Acta Phys. Pol. B, 45:167, 2014.

15

M. Beiner, H. Flocard, Nguyen Van Giai, and Ph Quentin.
Nuclear ground-state properties and self-consistent calculations with the skyrme interaction:(I). Spherical description.
Nucl. Phys. A, 238(1):29, 1975.

16

W. Satua, J. Dobaczewski, W. Nazarewicz, and M. Rafalski.
Microscopic calculations of isospin-breaking corrections to superallowed beta decay.
Phys. Rev. Lett., 106:132502, 2011.

17

J. Bartel, P. Quentin, M. Brack, C. Guet, and H.-B. Håkansson.
Nucl. Phys. A, 386:79, 1982.

18

E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and R. Schaeffer.
A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities.
Nucl. Phys. A, 635(1):231, 1998.

19

N. Schunck, J. Dobaczewski, J. McDonnell, W. Satua, J.A. Sheikh, A. Staszczak, M. Stoitsov, and P. Toivanen.
Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VII) HFODD (v2.49t): A new version of the program.
Comput. Phys. Comm., 183(1):166, 2012.

20

N. Schunck, J. Dobaczewski, W. Satua, P. Ba  ¸czyk, J. Dudek, Y. Gao, M. Konieczka, K. Sato, Y. Shi, X.B. Wang, and T.R. Werner.
arXiv:1612.05314 [nucl-th].

21

See Supplemental Material at [URL will be inserted by publisher], which includes Refs. [22,23], for details of the calculations performed using code HFODD, description of the fitting procedure, and results obtained for the Skyrme SkM* and SLy4 EDFs.

22

P. Ba ¸czyk, J. Dobaczewski, M. Konieczka, T. Nakatsukasa, K. Sato, and W. Satua.
Mirror and triplet displacement energies within nuclear dft: numerical stability.
arXiv:1611.01392 [nucl-th].

23

W. Satua, J. Dobaczewski, W. Nazarewicz, and T.R. Werner.
Isospin-breaking corrections to superallowed fermi beta decay in isopin- and angular-momentum-projected nuclear density functional theory.
Phys. Rev. C, 86:054316, 2012.

24

M. Wang, G. Audi, A. H. Wapstra, F. G. Kondev, M. MacCormick, X Xu, and B. Pfeiffer.
The ame2012 atomic mass evaluation (ii). tables, graphs and references.
Chin. Phys. C, 36(12):1603-2014, 2012.

25

Evaluated Nuclear Structure Data File, http://www.nndc.bnl.gov/ensdf/.

26

P. Ba ¸czyk, J. Dobaczewski, M. Konieczka, and W. Satua.
Strong-interaction isospin-symmetry breaking within the density functional theory.
Acta Phys. Pol. B Proc. Supp., 8(3):539-544, 2016.

27

K. Sato, J. Dobaczewski, T. Nakatsukasa, and W. Satua.
Energy-density-functional calculations including proton-neutron mixing.
Phys. Rev. C, 88:061301(R), 2013.

28

J. A. Sheikh, N. Hinohara, J. Dobaczewski, T. Nakatsukasa, W. Nazarewicz, and K. Sato.
Isospin-invariant skyrme energy-density-functional approach with axial symmetry.
Phys. Rev. C, 89:054317, May 2014.

29

Wojciech Satua and Ramon Wyss.
Rotations in isospace: A doorway to the understanding of neutron-proton superfluidity in $\mathit{N}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\mathit{Z}$ nuclei.
Phys. Rev. Lett., 86:4488-4491, May 2001.

30

Wojciech Satua and Ramon Wyss.
Microscopic structure of fundamental excitations in $\mathit{N}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\mathit{Z}$ nuclei.
Phys. Rev. Lett., 87:052504, Jul 2001.

31

J. Toivanen, J. Dobaczewski, M. Kortelainen, and K. Mizuyama.
Error analysis of nuclear mass fits.
Phys. Rev. C, 78(3):034306, 2008.

32

J. Dobaczewski, W. Nazarewicz, and P.-G. Reinhard.
Error Estimates of Theoretical Models: a Guide.
J. Phys. G: Nucl. Part. Phys., 41:074001, 2014.

33

Y. Fujita, T. Adachi, H. Fujita, A. Algora, B. Blank, M. Csatlós, J. M. Deaven, E. Estevez-Aguado, E. Ganio gglu, C. J. Guess, J. Gulyás, K. Hatanaka, K. Hirota, M. Honma, D. Ishikawa, A. Krasznahorkay, H. Matsubara, R. Meharchand, F. Molina, H. Okamura, H. J. Ong, T. Otsuka, G. Perdikakis, B. Rubio, C. Scholl, Y. Shimbara, E. J. Stephenson, G. Susoy, T. Suzuki, A. Tamii, J. H. Thies, R. G. T. Zegers, and J. Zenihiro.
High-resolution study of ${T}_{z}=+2\ensuremath{\rightarrow}+1$ gamow-teller transitions in the ${}^{44}$ca(${}^{3}$he,$t$)${}^{44}$sc reaction.
Phys. Rev. C, 88:014308, Jul 2013.

34

M. MacCormick and G. Audi.
Evaluated experimental isobaric analogue states from to and associated {IMME} coefficients.
Nuclear Physics A, 925:61 - 95, 2014.

35

X.L. Tu, Yu.A. Litvinov, K. Blaum, B. Mei, B.H. Sun, Y. Sun, M. Wang, H.S. Xu, and Y.H. Zhang.
Indirect mass determination for the neutron-deficient nuclides 44v, 48mn, 52co and 56cu.
Nuclear Physics A, 945:89 - 94, 2016.

36

X. Xu, P. Zhang, P. Shuai, R. J. Chen, X. L. Yan, Y. H. Zhang, M. Wang, Yu. A. Litvinov, H. S. Xu, T. Bao, X. C. Chen, H. Chen, C. Y. Fu, S. Kubono, Y. H. Lam, D. W. Liu, R. S. Mao, X. W. Ma, M. Z. Sun, X. L. Tu, Y. M. Xing, J. C. Yang, Y. J. Yuan, Q. Zeng, X. Zhou, X. H. Zhou, W. L. Zhan, S. Litvinov, K. Blaum, G. Audi, T. Uesaka, Y. Yamaguchi, T. Yamaguchi, A. Ozawa, B. H. Sun, Y. Sun, A. C. Dai, and F. R. Xu.
Identification of the lowest $t=2$, ${J}^{\ensuremath{\pi}}={0}^{+}$ isobaric analog state in $^{52}\mathrm{Co}$ and its impact on the understanding of $\ensuremath{\beta}$-decay properties of $^{52}\mathrm{Ni}$.
Phys. Rev. Lett., 117:182503, Oct 2016.

37

D. A. Nesterenko, A. Kankainen, L. Canete, M. Block, D. Cox, T. Eronen, C. Fahlander, U. Forsberg, J. Gerl, P. Golubev, J. Hakala, A. Jokinen, V.S. Kolhinen, J. Koponen, N. Lalovic, Ch. Lorenz, I. D. Moore, P. Papadakis, J. Reinikainen, S. Rinta-Antila, D. Rudolph, L. G. Sarmiento, A. Voss, and J. Äystö.
arXiv:1701.04069.

38

G. A. Miller, B. M. K. Nefkens, and I. Šlaus.
Charge symmetry, quarks and mesons.
Physics Reports, 194(1):1 - 116, 1990.