Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory
Keywords:Deformation parameters, Form factor, Occupation numbers, Quadrupole moments, Transition probability
The root-mean square-radius of proton, neutron, matter and charge radii, energy level, inelastic longitudinal form factors, reduced transition probability from the ground state to first-excited 2+ state of even-even isotopes, quadrupole moments, quadrupole deformation parameter, and the occupation numbers for some calcium isotopes for A=42,44,46,48,50 are computed using fp-model space and FPBM interaction. 40Ca nucleus is regarded as the inert core for all isotopes under this model space with valence nucleons are moving throughout the fp-shell model space involving 1f7/2, 2p3/2, 1f5/2, and 2p1/2 orbits. Model space is used to present calculations using FPBM interaction, and with the effects of core-polarization are obtained by the first order core polarization through a microscopic theory is called modified surface delta interaction which allows all higher orbits are excited by particle-hole excitation from the core and model space orbits. Also, each isotope's effective charge is determined by using the collective model by Bohr and Mottelson formula. The current result corresponds to the experimental data by taking into account core polarization effects.
Published Online First 20/7/2022
Suda T. Electron Scattering for Exotic Nuclei. J Phys Conf Ser. 2020 ;1643: 012159.
Brown BA, Garnsworthy AB, Kibedi T , Stuchbery AE. Microscopic method for E0 transition matrix elements. Phys Rev C. 2017; 95: 011301(R).
Ali AH. Study of the Electric Quadrupole Moments for some Scandium Isotopes Using Shell Model Calculations with Different Interactions. Baghdad Sci J.2019; 15(3): 304–309.
Garcia RF, Bissell ML, Blaum K, Frommgen N, Hammen M, Holt JD, et al. Ground-state electromagnetic moments of calcium isotopes. Phy Rev C. 2015; 91: 041304(R).
Ali AH, Hassoon SO, Tafash HT. Calculations of Quadrupole Deformation Parameters for Nuclei in fp shell. J Phys Conf Ser. 2019; 1178: 012010.
Hernández B, Sarriguren P, Moreno O, Moya de Guerra E, Kadrev D N, Antonov AN. Nuclear shape transitions and elastic magnetic electron scattering. Phy Rev C. 2021; 103: 014303.
Ali AH, Hameed BS. Calculation the Magnetic Dipole Moments and Quadrupole Moments for Some Exotic Chromium Isotopes Using Different Interactions. Rom J Phys. 2020; 65: 305.
Radhi RA, Alzubadi AA, Manie SM. Electromagnetic multipoles of positive parity states in 27Al by elastic and inelastic electron scattering. Nucl Phys A. 2021; 1015: 122302.
Pritychenkoa B, Birchb M, Singhb B, Horoi M. Tables of E2 Transition Probabilities from the first 2+ States in Even-Even Nuclei. At. Data Nucl. Data Tables. 2016; 107: 1- 139.
Pritychenko B, Birch M, Singh B. Revisiting Grodzins Systematics of B(E2) values. Nucl Phys A. 2017; 962(16): 73-102.
Skyy VP, Kristian K, Dominic M R, Brown BA, Incorvati A, Lantis J, et al. Charge Radius of Neutron- deficient 54Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii. Phys Rev Lett. 2021; 127; 182503.
Richter WA, Van der Merwe MG, Julies RE, Brown BA. New effective interactions for the 0f1p shell. Nucl Phys A. 1991; 523: 325-353.
Brown BA, Etchgoyen A, Godwin NS, Rae WD M, Richter W A, Ormand W E, et al. MSU-NSCL report number. 2005; 1289.
Brussaard PJ, Glademans PWM. Shell-model Application in Nuclear Spectroscopy. North-Holland Publishing Company, 1st Ed. Amsterdam. 1977; 452.
Brown BA, Wildenthal BH, Williamson CF, Rad FN, Kowalski S, Crannell H, et al. Shell-model analysis of high-resolution data for elastic and inelastic electron scattering on 19F. Phys Rev C. 1985; 32: 1127.
Tassie LJ, Barker FC. Application to Electron Scattering of Center-of-Mass Effects in the Nuclear Shell Model. Phys Rev. 1958; 111: 940.
Glickman JP, Bertozzi W, Buti TN, Dixit S, Hersman FW, Hyde-Wright C E, et al. Electron Scattering from 9Be. Phys Rev C. 1991; 43; 1740.
Bohr A, Mottelson BR. Nuclear Structure. 1st Ed. Benjamin, New York. 1969; 2 : 515.
Radhi RA, Alzubadi AA, Ali AH. Magnetic dipole moments, electric quadrupole moments, and electron scattering form factors of neutron-rich sd-pf cross-shell nuclei. Phys Rev C. 2018; 97(6): 1–13.
Ali AH. Investigation of the Quadrupole Moment and Form Factors of Some Ca Isotopes. Baghdad Sci J. 2020; 17(2): 502-508.
Brown BA, Radhi R, Wildenthal BH. Electric quadrupole and hexadacupole nuclear excitation from the perspectives of electron scattering and modern shell-model theory. Phys Rep. 1983; 101: 313.
Li T, Luo Y, Wang N. Compilation of recent nuclear ground state charge radius measurements and tests for models. At. Data Nucl Data Tables. 2021; 140: 101440.
Stone NJ. Table of nuclear electric quadrupole moments. IAEA Nuclear Data Section Vienna International Centre, INDC(NDS)-0833 Distr. ND.2021; 20.
Iwamoto T, Horie H. Inelastic electron scattering form factors for the excitation of the 2+ states in the 1f7/2 nuclei. Phys Rev C . 1982; 25: 658.
Heisenberg J, Mccarthy JS , Sick I. Inelastic electron scattering form several Ca, Ti and Fe isotopes. Nucl Phys A. 1971; l64: 353-366.
Wise JE, McCarthy JS, Altemus R, Norum BE, Whitney RR, Heisenberg J, et al. Inelastic electron scattering from 48Ca. Phys Rev C . 1985; 31: 1699.
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