The 42,44Ca(p, t) 40,42Ca reactions at 26.5 MeV

doi:10.1016/0375-9474(69)91078-1

Nuclear Physics A

Volume 125, Issue 2, 3 March 1969, Pages 339-357

https://doi.org/10.1016/0375-9474(69)91078-1 Get rights and content

Abstract

The ⁴²Ca and ⁴⁴Ca(p, t) reactions at 26.5 MeV have been examined with a triton energy resolution of 110 keV. Differential cross sections were obtained for six levels in ⁴⁰Ca and eleven levels in ⁴²Ca below an excitation energy in both nuclei of approximately 5 MeV; they are compared with theoretical angular distributions calculated using the zero-range distorted wave Born approximation (DWBA) in the two-nucleon transfer formalism of Glendenning. Woods-Saxon wave functions described the bound states of each of the individual transferred neutrons. The theoretical predictions for a given transition were found to be extremely sensitive to optical-model parameters, well parameters and shell-model configurations of the wave functions of the transferred neutrons. Therefore only qualitative information could be extracted from the data. In the ⁴²Ca(p, t)⁴⁰Ca reaction, the first excited 0⁺ state at 3.35 MeV was excited approximately 13% as strongly as the ground state. This is inconsistent with this state being a pure two-hole-two-particle configuration if pure shell-model ground state configurations are assumed. In the ⁴⁴Ca(p, t) reaction, the first excited 0⁺ state in ⁴²Ca at 1.84 MeV was excited only 2% as strongly as the ground state; this is consistent with a predominantly four-particle-two-proton-hole configuration for this state. The proton elastic differential cross sections for ⁴²Ca were measured to aid in the selection of proton optical-model parameters.

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Cited by (27)

Nuclear Data Sheets for A = 42
2016, Nuclear Data Sheets
The experimental data are evaluated for known nuclides of mass number A = 42 (Al, Si, P, S, Cl, Ar, K, Ca, Sc, Ti, V, Cr). Detailed evaluated level properties and related information are presented, including adopted values of level and γ–ray energies, decay data (energies, intensities and placement of radiations), and other spectroscopic data. This work supersedes earlier full evaluations of A = 42 published by B. Singh, J.A. Cameron – Nucl.Data Sheets 92, 1 (2001) and P.M. Endt – Nucl. Phys. A521, 1 (1990); Errata and Addenda Nucl. Phys. A529, 763 (1991); Errata Nucl. Phys. A564, 609 (1993) (also P.M. Endt – Nucl. Phys. A633, 1 (1998) update).
No excited states are known in ⁴²Al, ⁴²P, ⁴²V and ⁴²Cr, and structure information for ⁴²Si and ⁴²S is quite limited. There are no decay schemes available for the decay of ⁴²Al, ⁴²Si, ⁴²P, ⁴²V and ⁴²Cr, while the decay schemes of ⁴²Cl and ⁴²Ti are incomplete in view of scarcity of data, and large gap between their Q–values and the highest energy levels populated in corresponding daughter nuclei. Structures of ⁴²Ca, ⁴²K, ⁴²Sc and ⁴²Ar nuclides remain the most extensively studied via many different nuclear reactions and decays.
Nuclear data sheets for A = 40
2004, Nuclear Data Sheets
Nuclear spectroscopic information for the known nuclides of mass 40 (Al,Si,P,S,Cl,Ar,K,Ca,Sc,Ti) has been evaluated. The principal sources of the adopted levels presented are Endt's evaluations (1990En08, 1978En02). The data sets for reactions and decays, including all available gamma-ray data, are based mostly on the original literature. There are no data available for the excited states in ⁴⁰Al, ⁴⁰Si, ⁴⁰P and ⁴⁰Ti. The identification and particle stability of ⁴⁰Mg are still uncertain, although search for this nuclide has been made (2002Lu09,2002No11,2003Pe31).
Nuclear data sheets for A = 42
2001, Nuclear Data Sheets
Abstract: Nuclear spectroscopic information for the known nuclides of mass 42 (Si,P,S,Cl,Ar,K,Ca,Sc,Ti,V,Cr) has been evaluated. The principal sources of the adopted levels presented are Endt's evaluations (1990En08, 1978En02). The data sets for reactions and decays, including all available gamma–ray data, are based mostly on the original literature. There are no data available for the excited states in ⁴²Si, ⁴²P, ⁴²Cr and ⁴²V.
Spectroscopy of <sup>42</sup>Ca from <sup>41</sup>Ca(d, p)
1975, Nuclear Physics, Section A
Energy levels in ⁴²Ca up to 7.8 MeV have been studied in the neutron capture reaction ⁴¹Ca(d, p)⁴²Ca with 12 MeV bombarding energy. Ninety-four excited states have been identified and angular distributions have been measured in the interval from 5° to 110° by means of a broad-range magnetic spectrograph. The angular distributions together with DW calculations have been used to determine I_n values and spectroscopic factors. The $f_{72}$ strength sum agrees with shell-model expectations if the f_$72$ spectroscopic factors are renormalized by $1 0.75$ , in line with other $f_{72}$ . transfer experiments on ⁴⁰Ca and ⁴¹Ca. A similar renormalization of the l_n = 1 spectroscopic factors brings this strength sum in accordance with the shell-model calculations. The effective ( $f_{72}^{2}$ ) matrix elements for ⁴²Ca are compared with the corresponding matrix elements of ⁴²Sc and ⁴⁸Sc. The differences between the three sets of matrix elements are of the order of a few hundred keV or less. The monopole centroid energy of the ( $f_{72})^{2}$ multiplet is shifted downwards in the mass-42 nuclei compared to ⁴⁸Sc, possibly indicating the importance of the monopole pairing force near ⁴⁰Ca.
Aspects of two-nucleon transfer reactions
1975, Nuclear Physics, Section A
Two-nucleon transfer reactions are studied with special emphasis on the form factors. Zero-range approximation is assumed. Form factors are calculated for the reaction, ⁴⁰Ca(t, p)⁴²Ca ground state. The nucleus ⁴²Ca is taken to consist of two neutrons plus the⁴⁰Ca closed shell. Wave functions are determined from multiconfiguration shell-model calculations. Harmonic oscillator single-particle functions are used as a basis and the core-particle interaction is taken to be a Woods-Saxon potential. Results are presented for calculations including as many as 50 configurations. These results are generally in agreement with the calculations of Ibarra and Bayman, except that no evidence is found for the “extra node” in the radial form factor just beyond the nuclear surface. The asymptotic properties of two-nucleon form factors are discussed, and a critique is given of previous approaches, including the recent work of Ibarra. Zero-range DWBA is reformulated in such a way that the effect on the cross section of the assumed form of the interparticle potential can be studied. This also results in a cross section free of arbitrary normalization constants. The cross-section shapes were found to be insensitive to the form of the interaction and the absolute cross section predicted was found to be much too small by a factor of 15.
Energy levels of A = 21-44 nuclei (V)
1973, Nuclear Physics, Section A

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The 42,44Ca(p, t) 40,42Ca reactions at 26.5 MeV

Abstract

Phys. Rev. Lett.

Phys. Rev.

Phys. Lett.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Phys. Rev.

Phys. Rev.

Phys. Rev.

Brookhaven National Laboratory Report No. BNL 6562

The ^42,44Ca(p, t) ^40,42Ca reactions at 26.5 MeV