Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory

ZHANG Hai-Xia; WU Shi-Shu; YAO Yu-Jie

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(12) : 1361-1365

Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory

吉林大学物理学院长春 130023

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Abstract：
There are two methods to take account of the contribution of negative energy states in the relativistic random phase approximation. One is due to Dawson and Furnstahl. They made the ansatz that the dirac sea is empty. The other is the Dirac hole theory, which postulated that the sea should be fully occupied. The two methods seem contradictory concerning the way through which the negative–energy states contribute. The relation between the two theories is studied and the conditions under which the Dawson-Furnstahl theory is a good approximation to the Dirac theory are enunciated.

References

[1]

.Dawson J F, Furnstahl R J. Phys. Rev. C, 1990, 42: 20092. Serot B D. Rep. Prog. Phys. , 1992, 55: 1855; Serot B D, Walecka J D. Int . J. Mod. Phys. E, 1997, 6: 5153. Serot B D, Walecka J D. Adv. Nucl. Phys. , 1986, 16: 1; Ring P. Prog. Part. Nucl. Phys. , 1996, 37: 1934. Ring P et al. Nucl. Phys. A, 2001, 649: 2495. MA Z Y. Commun. Theor. Phys. ( Beijing, China) , 1999, 32: 493;Vretenar D, Wandelt A, Ring P. Phys. Lett . B, 2000, 487: : 334; MA Z Y et al. Nucl . Phys. A, 2001, 686: 173; MA Z Y. et al. Nucl.Phys. A, 2002, 703: 2226. Chin S A. Ann, Phys. , 1977, 108: 3017. Kurasawa H, Suzuki T. Nucl. Phys. A, 1985, 445: 685; 1988, 490:5718. Furnstahl R J, Horowitz C J. Nucl. Phys. A, 1988, 485: 632; Horowitz C J, Piekarewicz J. Nucl. Phys. A, 1990, 511: 461

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ZHANG Hai-Xia, WU Shi-Shu and YAO Yu-Jie. Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory[J]. Chinese Physics C, 2004, 28(12): 1361-1365.

ZHANG Hai-Xia, WU Shi-Shu and YAO Yu-Jie. Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory[J]. Chinese Physics C, 2004, 28(12): 1361-1365. shu

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Received: 2003-11-29
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory

Corresponding author: ZHANG Hai-Xia,

吉林大学物理学院长春 130023

Received Date: 2003-11-29
Accepted Date: 1900-01-01
Available Online: 2004-12-05

Abstract: There are two methods to take account of the contribution of negative energy states in the relativistic random phase approximation. One is due to Dawson and Furnstahl. They made the ansatz that the dirac sea is empty. The other is the Dirac hole theory, which postulated that the sea should be fully occupied. The two methods seem contradictory concerning the way through which the negative–energy states contribute. The relation between the two theories is studied and the conditions under which the Dawson-Furnstahl theory is a good approximation to the Dirac theory are enunciated.