Semiempirical scaling laws for electron capture at low energies.

Semiempirical scaling laws for electron capture at low energies.
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DOI:
10.1103/physreva.54.4127
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发表时间:
1996-11
期刊:
Physical review. A, Atomic, molecular, and optical physics
影响因子:
--
通讯作者:
Selberg;Biedermann;Cederquist
Selberg;Biedermann;Cederquist
中科院分区:
其他
文献类型:
--
作者:
Selberg;Biedermann;Cederquist

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We present semiempirical scaling laws for different electronic rearrangement features in slow collisions with ions of high charge {ital q}. The absolute cross section for removing exactly {ital r} electrons from the target is found to be well described by the scaling ({ital sc}) relation {sup {ital sc}}{sigma}{sup {ital r}}{sub {ital q}}=(2.7{times}10{sup {minus}13}){ital qr}/[{ital I}{sup 2}{sub 1}{ital I}{sup 2} d{ital r}{summation}{sub {ital j}=1}{sup {ital j}={ital N}}({ital j}/{ital I}{sup 2}{sub {ital j}})] cm{sup 2}, where {ital I}{sub {ital j}} is the {ital j}th target ionization potential in eV, and {ital N} is the number of outer-shell electrons. This expression and the related total recoil-ion charge-state fractions, {sup {ital sc}}{ital f}{sup {ital r}}{sub {ital q}}={sup {ital sc}}{sigma}{sup {ital r}}{sub {ital q}}/{summation}{sub {ital r}}{sup {ital sc}}{sigma} {sup {ital r}}{sub {ital q}}, compare favorably with recent experimental results ({sup {ital ex}}{sigma}{sub {ital q},{ital q}{minus}{ital p}}{sup {ital r}}) for slow Xe{sup {ital q}+} ions (15{le}{ital q}{le}43) colliding with He, Ar, and Xe. We discuss the possibility of establishing scaling laws for phenomenological cross sections {sigma}{sub {ital q},{ital q}{minus}{ital p}}, where only the number of electrons retained by the projectile {ital p} is specified. {copyright} {ital 1996 The American Physical Society.}
We present semiempirical scaling laws for different electronic rearrangement features in slow collisions with ions of high charge {ital q}. The absolute cross section for removing exactly {ital r} electrons from the target is found to be well described by the scaling ({ital sc}) relation {sup {ital sc}}{sigma}{sup {ital r}}{sub {ital q}}=(2.7{times}10{sup {minus}13}){ital qr}/[{ital I}{sup 2}{sub 1}{ital I}{sup 2} d{ital r}{summation}{sub {ital j}=1}{sup {ital j}={ital N}}({ital j}/{ital I}{sup 2}{sub {ital j}})] cm{sup 2}, where {ital I}{sub {ital j}} is the {ital j}th target ionization potential in eV, and {ital N} is the number of outer-shell electrons. This expression and the related total recoil-ion charge-state fractions, {sup {ital sc}}{ital f}{sup {ital r}}{sub {ital q}}={sup {ital sc}}{sigma}{sup {ital r}}{sub {ital q}}/{summation}{sub {ital r}}{sup {ital sc}}{sigma} {sup {ital r}}{sub {ital q}}, compare favorably with recent experimental results ({sup {ital ex}}{sigma}{sub {ital q},{ital q}{minus}{ital p}}{sup {ital r}}) for slow Xe{sup {ital q}+} ions (15{le}{ital q}{le}43) colliding with He, Ar, and Xe. We discuss the possibility of establishing scaling laws for phenomenological cross sections {sigma}{sub {ital q},{ital q}{minus}{ital p}}, where only the number of electrons retained by the projectile {ital p} is specified. {copyright} {ital 1996 The American Physical Society.}