Survival Mediated Heavy Element Capture Cross Sections

Loveland, Walter; Yao, Larry

doi:10.1051/epjconf/201716300033

Survival Mediated Heavy Element Capture Cross Sections

Journal Article · Wed Nov 22 00:00:00 EST 2017 · EPJ Web of Conferences (Online)

DOI:https://doi.org/10.1051/epjconf/201716300033· OSTI ID:1991548

Loveland, Walter ^[1]; Yao, Larry ^[2]

Oregon State University, Corvallis, OR (United States); Oregon State University
Oregon State University, Corvallis, OR (United States)

Formally, the cross section for producing a heavy evaporation residue, σEVR, in a fusion reaction can be written as σEVR(E) = $$\frac{πh2}{2μE}$$ Σ∞l=0 (2l+1)T (E,l)P_CN (E,l)W_sur(E,l) where E is the center of mass energy, and T is the probability of the colliding nuclei to overcome the potential barrier in the entrance channel and reach the contact point. PCN is the probability that the projectile-target system will evolve from the contact point to the compound nucleus. W_sur is the probability that the compound nucleus will decay to produce an evaporation residue rather than fissioning. However, one must remember that the W_sur term effectively sets the allowed values of the spin, which in turn, restricts the values of the capture and fusion cross sections. We point out the implications of this fact for capture cross sections for heavy element formation reactions.

View Accepted Manuscript (DOE)

Research Organization:: Oregon State University, Corvallis, OR (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0014380

OSTI ID:: 1991548

Journal Information:: EPJ Web of Conferences (Online), Journal Name: EPJ Web of Conferences (Online) Vol. 163; ISSN 2100-014X

Publisher:: EDP SciencesCopyright Statement

Country of Publication:: United States

Language:: English

References (23)

Decay properties of neutron-deficient isotopes 256, 257Db, 255Rf, 252, 253Lr Heßberger, F. P.; Hofmann, S.; Ackermann, D. The European Physical Journal A, Vol. 12, Issue 1 https://doi.org/10.1007/s100500170039	journal	September 2001
Brownian motion in a field of force and the diffusion model of chemical reactions Kramers, H. A. Physica, Vol. 7, Issue 4 https://doi.org/10.1016/S0031-8914(40)90098-2	journal	April 1940
Nuclear ground-state masses and deformations: FRDM(2012) Möller, P.; Sierk, A. J.; Ichikawa, T. Atomic Data and Nuclear Data Tables, Vol. 109-110 https://doi.org/10.1016/j.adt.2015.10.002	journal	May 2016
Modelling with uncertainties: The role of the fission barrier Lü, Hongliang; Boilley, David EPJ Web of Conferences, Vol. 62 https://doi.org/10.1051/epjconf/20136203002	journal	January 2013
Evaporation of 3 to 8 Neutrons in Reactions between C 12 and Various Uranium Nuclides Sikkeland, Torbjorn; Maly, Jaromir; Lebeck, Donald F. Physical Review, Vol. 169, Issue 4 https://doi.org/10.1103/PhysRev.169.1000	journal	May 1968
Studies of Lawrencium Isotopes with Mass Numbers 255 Through 260 Eskola, Kari; Eskola, Pirkko; Nurmia, Matti Physical Review C, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevC.4.632	journal	August 1971
New nuclide Ha 263 Kratz, J. V.; Gober, M. K.; Zimmermann, H. P. Physical Review C, Vol. 45, Issue 3 https://doi.org/10.1103/PhysRevC.45.1064	journal	March 1992
New plutonium isotope: 231 Pu Laue, C. A.; Gregorich, K. E.; Sudowe, R. Physical Review C, Vol. 59, Issue 6 https://doi.org/10.1103/PhysRevC.59.3086	journal	June 1999
Decay properties of 257 No , 261 Rf , and 262 Rf Lazarev, Yu. A.; Lobanov, Yu. V.; Oganessian, Yu. Ts. Physical Review C, Vol. 62, Issue 6 https://doi.org/10.1103/PhysRevC.62.064307	journal	November 2000
Synthesis of superheavy nuclei: How accurately can we describe it and calculate the cross sections? Zagrebaev, V. I.; Aritomo, Y.; Itkis, M. G. Physical Review C, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevC.65.014607	journal	December 2001
Studies of Mendelevium Isotopes with Mass Numbers 248 Through 252 Eskola, Pirkko Physical Review C, Vol. 7, Issue 1 https://doi.org/10.1103/PhysRevC.7.280	journal	January 1973
Synthesis of rutherfordium isotopes in the U 238 ( Mg 26 , xn ) 264 − x Rf reaction and study of their decay properties Gates, J. M.; Garcia, M. A.; Gregorich, K. E. Physical Review C, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevC.77.034603	journal	March 2008
Comparison of complementary reactions for the production of Bh 261 , 262 Nelson, S. L.; Folden III, C. M.; Gregorich, K. E. Physical Review C, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevC.78.024606	journal	August 2008
Comparison of reactions for the production of Db 258 , 257 : 208 Pb ( 51 V , xn ) and 209 Bi ( 50 Ti , xn ) Gates, J. M.; Nelson, S. L.; Gregorich, K. E. Physical Review C, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevC.78.034604	journal	September 2008
Measurement of the Pb 208 ( Cr 52 , n ) Sg 259 excitation function Folden III, C. M.; Dragojević, I.; Düllmann, Ch. E. Physical Review C, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevC.79.027602	journal	February 2009
Nuclear orientation in the reaction S 34 + U 238 and synthesis of the new isotope Hs 268 Nishio, K.; Hofmann, S.; Heßberger, F. P. Physical Review C, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevC.82.024611	journal	August 2010
Observation of the 3 n Evaporation Channel in the Complete Hot-Fusion Reaction Mg 26 + Cm 248 Leading to the New Superheavy Nuclide Hs 271 Dvorak, J.; Brüchle, W.; Chelnokov, M. Physical Review Letters, Vol. 100, Issue 13 https://doi.org/10.1103/PhysRevLett.100.132503	journal	April 2008
Fission Barrier of Superheavy Nuclei and Persistence of Shell Effects at High Spin: Cases of No 254 and Th 220 Henning, Greg; Khoo, T. L.; Lopez-Martens, A. Physical Review Letters, Vol. 113, Issue 26 https://doi.org/10.1103/PhysRevLett.113.262505	journal	December 2014
Nucleus-Nucleus Potential Deduced from Experimental Fusion Cross Sections Bass, R. Physical Review Letters, Vol. 39, Issue 5 https://doi.org/10.1103/PhysRevLett.39.265	journal	August 1977
An experimentalist’s view of the uncertainties in understanding heavy element synthesis Loveland, W. The European Physical Journal A, Vol. 51, Issue 9 https://doi.org/10.1140/epja/i2015-15120-2	journal	September 2015
Decay Properties of ²⁶⁶ Bh and ²⁶² Db Produced in the ²⁴⁸ Cm + ²³ Na Reaction Morita, Kosuke; Morimoto, Kouji; Kaji, Daiya Journal of the Physical Society of Japan, Vol. 78, Issue 6 https://doi.org/10.1143/JPSJ.78.064201	journal	June 2009
Production Cross Sections of 261Rf and 262Db in Bombardments of 248Cm with 18O and 19F Ions Nagame, Y.; Asai, M.; Haba, H. Journal of Nuclear and Radiochemical Sciences, Vol. 3, Issue 1 https://doi.org/10.14494/jnrs2000.3.85	journal	January 2002
Search for the “missing” α-decay branch in ²³⁹ Cm Qin, Zhi; Brüchle, W.; Ackermann, D. Radiochimica Acta, Vol. 96, Issue 8 https://doi.org/10.1524/ract.2008.1517	journal	August 2008

Similar Records

Survival-mediated capture and fusion cross sections for heavy-element synthesis

Journal Article · Thu Jan 18 19:00:00 EST 2018 · Physical Review. C · OSTI ID:1541021

Measurement of the fusion probability P{sub CN} for the reaction of {sup 50}Ti with {sup 208}Pb

Journal Article · Wed Nov 14 23:00:00 EST 2007 · Physical Review. C, Nuclear Physics · OSTI ID:21067907

Formation of Heavy Compound Nuclei, Their Survival and Correlation with Longtime-Scale Fission

Journal Article · Tue May 22 00:00:00 EDT 2007 · AIP Conference Proceedings · OSTI ID:21061813

Related Subjects

38 RADIATION CHEMISTRY, RADIOCHEMISTRY, AND NUCLEAR CHEMISTRY

Survival Mediated Heavy Element Capture Cross Sections

Citation Formats

References (23)

Similar Records

Related Subjects