arXiv physics/01090252001-09-11physics.atom-ph

Low-energy direct muon transfer from H to Ne$^{10+}$, S$^{16+}$ and Ar$^{18+}$ using two-state close-coupling approximation to Faddeev-Hahn-type equation

Renat A. Sultanov, Sadhan K. Adhikari

备注：: 16 Latex pages
发表信息：: J. Phys. B 35 (2002) 935-946
DOI：: 10.1088/0953-4075/35/4/317

英文摘要：

We perform three-body calculation of direct muon-transfer rates from thermalized muonic hydrogen isotopes to bare nuclei Ne$^{10+}$, S$^{16+}$, and Ar$^{18+}$ employing integro-differential Faddeev-Hahn-type equations in configuration space with two-state close-coupling approximation scheme. All Coulomb potentials including the strong final-state Coulomb repulsion are treated exactly. A long-range polarization potential is included in the elastic channel to take into account the high polarizability of the muonic hydrogen. The transfer rates so calculated are in good agreement with recent experiments. We find that the muon is captured predominantly in the $n=6$, 9, and 10 states of muonic Ne$^{10+}$, S$^{16+}$, and Ar$^{18+}$, respectively.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Coordinate-space Faddeev-Hahn-type approach to three-body charge transfer reactions involving exotic particles

Low-energy muon-transfer cross sections and rates in collisions of muonic atoms with hydrogen isotopes are calculated using a six-state close-coupling approximation to coordinate-space Faddeev-Hahn-type equations. In the muonic case satisfactory results are obtained for all hydrogen isotopes and the experimentaly observed strong isotopic dependence of transfer rates is also reproduced. A comparison with results of other theoretical and available experimental works is presented. The present model also leads to good transfer cross sections in the well-understood problem of antihydrogen formation…

1999-10-11nucl-thphysics.atom-ph

Low-energy muon-transfer reaction from hydrogen isotopes to helium isotopes

Direct muon transfer in low-energy collisions of the muonic hydrogen H$_μ$ and helium (He$^{++}$) is considered in a three-body quantum-mechanical framework of coordinate-space integro-differential Faddeev-Hahn-type equations within two- and six-state close coupling approximations. The final-state Coulomb interaction is treated without any approximation employing appropriate Coulomb waves in the final state. The present results agree reasonably well with previous semiclassical calculations.

2002-02-07physics.atom-ph

Dynamical calculation of direct muon-transfer rates from thermalized muonic hydrogen to C^{6+} and O^{8+}

We perform dynamical calculations of direct muon-transfer rates from thermalized muonic hydrogen isotopes to bare nuclei C$^{6+}$ and O$^{8+}$. For these three-body charge-transfer reactions with Coulomb interaction in the final state we use two-component integro-differential Faddeev-Hahn-type equations in configuration space using close-coupling approximation. To take into account the high polarizability of the muonic hydrogen due to the large charge of the incident nuclei, a polarization potential is included in the elastic channel. The large final-state Coulomb interaction is explicitly inc…

2000-12-17physics.atom-ph

Antihydrogen $(\bar{\rm{H}})$ and muonic antihydrogen $(\bar{\rm{H}}_μ)$ formation in low energy three-charge-particle collisions

A few-body formalism is applied for computation of two different three-charge-particle systems. The first system is a collision of a slow antiproton, $\bar{\rm{p}}$, with a positronium atom: Ps$=(e^+e^-)$ $-$ a bound state of an electron and a positron. The second problem is a collision of $\bar{\rm{p}}$ with a muonic muonium atom, i.e. true muonium $-$ a bound state of two muons one positive and one negative: Ps$_μ=(μ^+μ^-)$. The total cross section of the following two reactions: $\bar{\rm p}+(e^+e^-) \rightarrow \bar{\rm{H}} + e^-$ and $\bar{\rm p}+(μ^+μ^-) \rightarrow \bar{\rm{H}}_μ + μ^-$…

2013-04-26physics.atom-ph

Antiproton low-energy collisions with Ps-atoms and true muonium atoms ($μ^+μ^-$)

Three-charge-particle collisions with participation of ultra-slow antiprotons ($\bar{\rm{p}}$) is the subject of this work. Specifically we compute the total cross sections and corresponding thermal rates of the following three-body reactions: $\bar{\rm p}+(e^+e^-) \rightarrow \bar{\rm{H}} + e^-$ and $\bar{\rm p}+(μ^+μ^-) \rightarrow \bar{\rm{H}}_μ + μ^-$, where $e^-(μ^-)$ is an electron (muon) and $e^+(μ^+)$ is a positron (antimuon) respectively, $\bar{\rm{H}}=(\bar{\rm p}e^+)$ is an antihydrogen atom and $\bar{\rm{H}}_μ=(\bar{\rm p}μ^+)$ is a muonic antihydrogen atom, i.e. a bound state of $…

2013-09-08physics.atom-ph

Low-energy three-body charge transfer reactions with Coulomb interaction in the final state

Three-body charge transfer reactions with Coulomb interaction in the final state are considered in the framework of coordinate-space integro-differential Faddeev-Hahn-type equations within two- and six-state close coupling approximations. The method is employed to study direct muon transfer in low-energy collisions of the muonic hydrogen H$_μ$ by helium (He$^{++}$) and lithium (Li$^{+++}$) nuclei. The experimentally observed isotopic dependence is reproduced.

1999-10-11nucl-thphysics.atom-ph

更多相关论文收起更多论文

$e^- -(pe^-)$ 与 $μ^- -(pμ^-)$ 系统中的散射：简并阈值以上截面的质量相关与质量无关特征

Scattering in $e^- -(pe^-)$ and $μ^- -(pμ^-)$ systems: mass dependent and mass independent features of cross sections above the degenerated thresholds

该研究利用纳入感应偶极渐近贡献的 Faddeev-Merkuriev 方程，高分辨率计算电子/μ子与氢/μ氢在 $n=2,3$ 阈值附近的散射截面，并发现 Gailitis-Dumburg 振荡。

2024-12-02physics.atom-ph

Effect of strong $\bar{\rm p}$-p nuclear forces on the rate of the low-energy three-body protonium formation reaction: $\bar{p} + H_μ(1s) \rightarrow (\bar{p} p)_α + μ^-$

The effect of the strong $\bar{\rm p}$-p nuclear interaction in a three-charge-particle system with arbitrary masses is investigated. Specifically, the ($\bar{\rm p},\ μ^-$,\ p) system is considered, where $\bar{p}$ is an antiproton, $μ^-$ is a muon and p is a proton. A numerical computation in the framework of a detailed few-body approach is carried out for the following protonium (antiprotonic hydrogen) formation three-body reaction: $\bar{p} + H_μ(1s) \rightarrow (\bar{p} p)_α + μ^-$. Here, $H_μ(1s)$ is a ground state muonic hydrogen, i.e. a bound state of p and $μ^-$. A bound state of $p$ …

2017-01-10physics.atom-ph