Isospin dependence of isobaric ratio Y(3(H)/Y(3He) and its relation to temperature

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Abstract

A dependence of the isobaric ratio Y(3H)/Y(3He) on the N/Z ratio of the reconstructed quasiprojectile for the reaction of 28Si beam with 112,124Sn targets at two different projectile energies of 30 and 50 MeV/nucleon is presented. We demonstrate a linear dependence of the observable ln(Y(3H)/Y(3He)) on the N/Z ratio of the quasiprojectile and show the dependence of the slope on the reconstructed excitation energy of the quasiprojectile. We relate this slope dependence at a given excitation energy to the temperature of the fragmenting system. Using the model assumptions of the statistical multifragmentation model, a method of temperature determination is proposed. A caloric curve is constructed and compared to the result of the double isotope ratio method for the same set of the data and to the results of other studies.

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Acknowledgements

The authors wish to thank the Cyclotron Institute staff for the excellent beam quality. This work was supported in part by the NSF through grant No. PHY-9457376, the Robert A. Welch Foundation through grant No. A-1266, and the Department of Energy through grant No. DE-FG03-93ER40773. M.V. was partially supported through grant VEGA-2/5121/98.

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    1

    Phone: (979)-845-1411, fax: (979)-845-1899.

    2

    On leave of absence from Institute of Physics of SASc, Bratislava, Slovakia.

    3

    Present address: Brookhaven National Laboratory, Brookhaven, New York, USA.

    4

    Present address: Mallinckrodt Institute of Radiology, St. Louis, Missouri, USA.

    5

    Present address: Microcal Software Inc., One Roundhouse Plaza, Northampton, MA 01060, USA.

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