skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Mass-number and excitation-energy dependence of the spin cutoff parameter

Abstract

Here, the spin cutoff parameter determining the nuclear level density spin distribution ρ(J) is defined through the spin projection as < J 2 z > 1/2 or equivalently for spherical nuclei, (< J(J+1) >/3) 1/2. It is needed to divide the total level density into levels as a function of J. To obtain the total level density at the neutron binding energy from the s-wave resonance count, the spin cutoff parameter is also needed. The spin cutoff parameter has been calculated as a function of excitation energy and mass with a super-conducting Hamiltonian. Calculations have been compared with two commonly used semiempirical formulas. A need for further measurements is also observed. Some complications for deformed nuclei are discussed. The quality of spin cut off parameter data derived from isomeric ratio measurement is examined.

Authors:
 [1];  [1];  [1]
  1. Ohio Univ., Athens, OH (United States)
Publication Date:
Research Org.:
Ohio Univ., Athens, OH (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1338916
Alternate Identifier(s):
OSTI ID: 1261697
Grant/Contract Number:  
NA0002905; FG02-88ER40387
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 94; Journal Issue: 1; Journal ID: ISSN 2469-9985
Publisher:
APS
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; nuclear level density; spin cutoff parameter

Citation Formats

Grimes, S. M., Voinov, A. V., and Massey, T. N. Mass-number and excitation-energy dependence of the spin cutoff parameter. United States: N. p., 2016. Web. doi:10.1103/PhysRevC.94.014308.
Grimes, S. M., Voinov, A. V., & Massey, T. N. Mass-number and excitation-energy dependence of the spin cutoff parameter. United States. doi:10.1103/PhysRevC.94.014308.
Grimes, S. M., Voinov, A. V., and Massey, T. N. Tue . "Mass-number and excitation-energy dependence of the spin cutoff parameter". United States. doi:10.1103/PhysRevC.94.014308. https://www.osti.gov/servlets/purl/1338916.
@article{osti_1338916,
title = {Mass-number and excitation-energy dependence of the spin cutoff parameter},
author = {Grimes, S. M. and Voinov, A. V. and Massey, T. N.},
abstractNote = {Here, the spin cutoff parameter determining the nuclear level density spin distribution ρ(J) is defined through the spin projection as < J2z > 1/2 or equivalently for spherical nuclei, (< J(J+1) >/3)1/2. It is needed to divide the total level density into levels as a function of J. To obtain the total level density at the neutron binding energy from the s-wave resonance count, the spin cutoff parameter is also needed. The spin cutoff parameter has been calculated as a function of excitation energy and mass with a super-conducting Hamiltonian. Calculations have been compared with two commonly used semiempirical formulas. A need for further measurements is also observed. Some complications for deformed nuclei are discussed. The quality of spin cut off parameter data derived from isomeric ratio measurement is examined.},
doi = {10.1103/PhysRevC.94.014308},
journal = {Physical Review C},
number = 1,
volume = 94,
place = {United States},
year = {2016},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

Works referenced in this record:

RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations
journal, December 2009


Level densities for 20 <~ A <~ 110
journal, January 2003


Hauser-Feshbach calculations in deformed nuclei
journal, August 2013


Improved microscopic nuclear level densities within the Hartree-Fock-Bogoliubov plus combinatorial method
journal, December 2008


Fine structure of the isovector giant dipole resonance in Pb 208 : Characteristic scales and level densities
journal, May 2014


Isomeric cross sections of fast-neutron-induced reactions on 197 Au
journal, April 2012


An Attempt to Calculate the Number of Energy Levels of a Heavy Nucleus
journal, August 1936


The statistical model and nuclear level densities
journal, October 1960


Level density and spin cutoff parameters from continuum ( p , n ) and ( α , n ) spectra
journal, December 1974


Experimental energy-dependent nuclear spin distributions
journal, November 2009


Spin Projection in the Shell Model Monte Carlo Method and the Spin Distribution of Nuclear Level Densities
journal, October 2007


Phase Transition and Level Density of Atomic Nuclei
journal, March 1963

  • Sano, Mitsuo; Yamasaki, Shuichiro
  • Progress of Theoretical Physics, Vol. 29, Issue 3
  • DOI: 10.1143/PTP.29.397

Spin- and Parity-Resolved Level Densities from the Fine Structure of Giant Resonances
journal, November 2007


Heavy Deformed Nuclei in the Shell Model Monte Carlo Method
journal, August 2008


Extreme nonstatistical effects in γ decay of 95 Mo neutron resonances
journal, October 2013