2009
DOI: 10.1134/s1063779609030034
|View full text |Cite
|
Sign up to set email alerts
|

Finite-size effect on two-particle production in continuous and discrete spectrum

Abstract: Abstract. The formalism allowing one to account for the effect of a finite spacetime extent of particle production region is given. Its applications to the lifetime measurement of hadronic atoms produced by a high-energy beam in a thin target, as well as to the femtoscopy techniques widely used to measure space-time characteristics of the production processes, are discussed. Particularly, it is found that the neglect of the finite-size effect on the pionium lifetime measurement in the experiment DIRAC at CERN … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
98
0

Year Published

2014
2014
2023
2023

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 89 publications
(102 citation statements)
references
References 45 publications
0
98
0
Order By: Relevance
“…The femtoscopic correlations due to the Coulomb FSI between the emitted electron and the residual nucleus in beta decay have been well known for more than 80 years; they reveal themselves in a sensitivity of the Fermi function (an analogue of the CF 31 ) to the nuclear radius. Compared with non-interacting particles, the FSI effect in a two-particle system with total spin S manifests itself in the substitution of the product of plane waves, exp(−ip 1 X a − ip 2 X b ), by the non-symmetrized Bethe- 14,19,32,33 . For identical particles, the symmetrization requirement in the representation of total pair spin S takes on the same form for both bosons and fermions: the non-symmetrized amplitude should be substituted by [Ψ…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The femtoscopic correlations due to the Coulomb FSI between the emitted electron and the residual nucleus in beta decay have been well known for more than 80 years; they reveal themselves in a sensitivity of the Fermi function (an analogue of the CF 31 ) to the nuclear radius. Compared with non-interacting particles, the FSI effect in a two-particle system with total spin S manifests itself in the substitution of the product of plane waves, exp(−ip 1 X a − ip 2 X b ), by the non-symmetrized Bethe- 14,19,32,33 . For identical particles, the symmetrization requirement in the representation of total pair spin S takes on the same form for both bosons and fermions: the non-symmetrized amplitude should be substituted by [Ψ…”
Section: Methodsmentioning
confidence: 99%
“…At small relative momenta, k * < ∼1/r * , this solution can be used in practical calculations with the condition |t * | mr * 2 19, 32 . The equal-time approximation is almost exact in beta decay, and it is usually quite accurate for particles produced in high-energy collisions (to a few percent in the FSI contribution to CF's of particles even as light as pions 32 ). In collisions involving heavy nuclei, the characteristic separation of the emission points, r * , can be considered substantially larger than the range of the strong-interaction potential.…”
Section: S(+)mentioning
confidence: 99%
“…The interaction for pp system is measured in detail and well described theoretically, we will use existing calculations for this system and will not vary any of its parameters in the fits. For details please see [14]. For all other pairs the strong FSI is the only source of femtoscopic correlation.…”
Section: Femtoscopic Formalismmentioning
confidence: 99%
“…A more accurate extraction of f c is done by fitting mixed-charge two-pion correlations instead [24]. The correlation between π + and π − is dominated by Coulomb and strong FSI for which the wave functions are well known [35]. Owing to the large pion Bohr radius, π + π − correlations are less sensitive to the detailed structure of the source and can be fit less ambiguously with respect to π + π + correlations.…”
Section: Analysis Techniquementioning
confidence: 99%