Phys.Rev. C 93, 044611 (2016)

W.Horiuchi, S.Hatakeyama, S.Ebata, Y.Suzuki

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

NUCLEAR STRUCTURE ^{100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132,134,136,138,140}Sn; calculated neutron and proton rms radii. ^{40,42,44,46,48,50,52,54,56,58,60}Ca, ^{56,58,60,62,64,66,68,70,72,74,76,78,80,82,84}Ni, ^{80,82,84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,116,118,120,122}Zr, ^{100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132,134,136,138,140}Sn, ^{156,158,160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,190,192,194,196}Yb, ^{190,192,194,196,198,200,202,204,206,208,210,212,214}Pb; calculated matter radius of even-even nuclei using SkM*, SLy4, and SkI3 interactions. HF+BCS and HF theory with different interactions.

NUCLEAR REACTIONS ^1,2H, ⁴He, ¹²C(⁴⁰Ca, X), (⁴²Ca, X), (⁴⁴Ca, X), (⁴⁶Ca, X), (⁴⁸Ca, X), (⁵⁰Ca, X), (⁵²Ca, X), (⁵⁴Ca, X), (⁵⁶Ca, X), (⁵⁸Ca, X), (⁶⁰Ca, X), (⁵⁶Ni, X), (⁵⁸Ni, X), (⁶⁰Ni, X), (⁶²Ni, X), (⁶⁴Ni, X), (⁶⁶Ni, X), (⁶⁸Ni, X), (⁷⁰Ni, X), (⁷²Ni, X), (⁷⁴Ni, X), (⁷⁶Ni, X), (⁷⁸Ni, X), (⁸⁰Ni, X), (⁸²Ni, X), (⁸⁴Ni, X), (⁸⁰Zr, X), (⁸²Zr, X), (⁸⁴Zr, X), (⁸⁶Zr, X), (⁸⁸Zr, X), (⁹⁰Zr, X), (⁹²Zr, X), (⁹⁴Zr, X), (⁹⁶Zr, X), (⁹⁸Zr, X), (¹⁰⁰Zr, X), (¹⁰²Zr, X), (¹⁰⁴Zr, X), (¹⁰⁶Zr, X), (¹⁰⁸Zr, X), (¹¹⁰Zr, X), (¹¹²Zr, X), (¹¹⁴Zr, X), (¹¹⁶Zr, X), (¹¹⁸Zr, X), (¹²⁰Zr, X), (¹²²Zr, X), (¹⁰⁰Sn, X), (¹⁰²Sn, X), (¹⁰⁴Sn, X), (¹⁰⁶Sn, X), (¹⁰⁸Sn, X), (¹¹⁰Sn, X), (¹¹²Sn, X), (¹¹⁴Sn, X), (¹¹⁶Sn, X), (¹¹⁸Sn, X), (¹²⁰Sn, X), (¹²²Sn, X), (¹²⁴Sn, X), (¹²⁶Sn, X), (¹²⁸Sn, X), (¹³⁰Sn, X), (¹³²Sn, X), (¹³⁴Sn, X), (¹³⁶Sn, X), (¹³⁸Sn, X), (¹⁴⁰Sn, X), (¹⁵⁶Yb, X), (¹⁵⁸Yb, X), (¹⁶⁰Yb, X), (¹⁶²Yb, X), (¹⁶⁴Yb, X), (¹⁶⁶Yb, X), (¹⁶⁸Yb, X), (¹⁷⁰Yb, X), (¹⁷²Yb, X), (¹⁷⁴Yb, X), (¹⁷⁶Yb, X), (¹⁷⁸Yb, X), (¹⁸⁰Yb, X), (¹⁸²Yb, X), (¹⁸⁴Yb, X), (¹⁸⁶Yb, X), (¹⁸⁸Yb, X), (¹⁹⁰Yb, X), (¹⁹²Yb, X), (¹⁹⁴Yb, X), (¹⁹⁶Yb, X), (¹⁹⁰Pb, X), (¹⁹²Pb, X), (¹⁹⁴Pb, X), (¹⁹⁶Pb, X), (¹⁹⁸Pb, X), (²⁰⁰Pb, X), (²⁰²Pb, X), (²⁰⁴Pb, X), (²⁰⁶Pb, X), (²⁰⁸Pb, X), (²¹⁰Pb, X), (²¹²Pb, X), (²¹⁴Pb, X), E=1000 MeV, also 200 MeV for proton target; calculated Coulomb breakup cross sections by equivalent-photon method (EPM) with projectile density from SkM*, SLy4, and SkI3 Skyrme interactions, total reaction and Coulomb breakup probabilities, reaction radii versus point matter rms radii. Glauber model with densities from Skyrme-Hartree-Fock+BCS model. ¹²C(²⁰⁸Pb, ¹²C), E=200, 1000 MeV; ¹H(²⁰⁸Pb, p), E=45-1000 MeV; calculated elastic σ(θ, E) using SkM* interaction, and compared with experimental data. ¹H(⁴⁰Ca, X), (⁵⁸Ni, X), (⁹⁰Zr, X), (¹²⁰Sn, X), (²⁰⁸Pb, X), E=40-1000 MeV; calculated total reaction σ(E) and compared with experimental data.

doi: 10.1103/PhysRevC.93.044611