Phys.Rev. C 104, 064313 (2021)

U.C.Perera, A.V.Afanasjev, P.Ring

Charge radii in covariant density functional theory: A global view

NUCLEAR STRUCTURE ²⁰⁸Pb, ¹³²Sn, ^40,48Ca; calculated neutron and proton single-particle states at spherical shape, charge radius, neutron skin, neutron single-particle rms radii without pairing, using DDME2, DDMEδ, DDPC1, NL3^*, and PCPK1 interactions. ¹³⁴Sn; calculated occupation probabilities of the neutron orbitals located above the N=82 shell closure. ^{198,200,202,204,206,208,210,212,214,216}Pb; ^{176,178,180,182,184,186,188,190,192,194,196,198,200,202,204,206,208,210,212,214,216,218,220,222,224,226,228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,258,260,262,264,266}Pb; calculated rms charge radii without and with pairing, the latter using RHB approach, using DDME2, DDMEδ, DDPC1, NL3^*, and PCPK1 interactions and for all the even-even Pb isotopes located between the two-proton and two-neutron drip lines, compared to available experimental data. Z=78, 80, 82, 84, 86, N=104-136 (even); Z=50, 52, 54, 56, 58, 60, 62, 64, N=50-100 (even); Z=36, 38, 42, N=32-70 (even); Z=18, 20, 22, 24, 26, N=12-38 (even); ^{100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132,134,136}Sn, ^{72,74,76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106,108}Sr, ^{34,36,38,40,42,44,46,48,50,52,54,56,58,60}Ca; calculated charge radii δ(r²) for even-even nuclei as function of neutron number using DDME2, DDMEδ, DDPC1, NL3^*, and PCPK1 interactions, and compared with available experimental data. Z=10, N=9-15; Z=18, N=15-25; Z=20, N=17-31; Z=22, N=23-27; Z=36, N=39-59; Z=38, N=40-61; Z=48, N=55-69; Z=50, N=59-81; Z=54, N=83-89; Z=56, N=65-89; Z=60, N=75-85; Z=62, N=77-91; Z=66, N=83-97; Z=70, N=85-105; Z=72, N=99-107; Z=78, N=101-117; Z=80, N=98-125; Z=82, N=101-129; Z=84, N=108-126; Z=86, N=119-125, 133-135; Z=88, N=121-125, 133-141; Z=90, N=138-139; Z=92, N=142-143; Z=94, N=145-147; compiled odd-even staggering (OES) of experimental charge radii of even-Z nuclei. ^{30,32,34,36,38,40,42,44,46,48,50}Ar, ^{32,34,36,38,40,42,44,46,48,50,52}Ca, ^{38,40,42,44,46,48,50,52,54,56,58}Ti, ^{44,46,48,50,52,54,56,58,60,62,64}Cr, ^{46,48,50,52,54,56,58,60,62,64}Fe, ^{68,70,72,74,76,78,80,82,84,86,88}Kr, ^{72,74,76,78,80,82,84,86,88,90,92,94,96,98,100}Sr, ^{80,82,84,86,88,90,92,94,96,98,100,102,104,106,108}Mo, ^{94,96,98,100,102,104,106,108,110,112,114}Cd, ^{100,102,104,106,108,110,112,114,116,118,120}Sn, ^{108,110,112,114,116,118,120,122,124,126,128}Te, ^{110,112,114,116,118,120,122,124,126,128,130}Xe, ^{114,116,118,120,122,124,126,128,130,132,134}Ba, ^{118,120,122,124,126,128,130,132,134,136,138}Ce, ^{122,124,126,128,130,132,134,136,138,140,142}Nd, ^{128,130,132,134,136,138,140,142,144,146,148}Sm, ^{132,134,136,138,140,142,144,146,148,150,152}Gd, ^{178,180,182,184,186,188,190,192,194,196,198}Pt, ^{184,186,188,190,192,194,196,198,200,202,204}Po, ^{186,188,190,192,194,196,198,200,202,204,206}Rn; calculated potential energy curves as function of deformation parameter β₂ obtained with constrained axial RHB calculations using DDME2, DDMEδ, DDPC1, NL3^*, and PCPK1 covariant energy density functionals; deduced β₂ parameters in different mass regions. These data are from Supplemental Material of the paper. Detailed systematic global investigation of differential charge radii within the covariant density functional theory (CDFT) framework.

doi: 10.1103/PhysRevC.104.064313