Directed flow of isospin sensitive fragments within a modified clusterization algorithm in heavy-ion collisions

doi:10.13538/j.1001-8042/nst.2013.05.009

Abstract

Abstract:

By extending the minimum spanning tree （MST）clusterization algorithm for the binding energy cut， the isospin asymmetry dependence of directed flow for isospin sensitive isobar pairs (neutrons-protons, ³H-³He) is studied from low towards high incident energies. The modified clusterization method (MSTB) has the advantage to identify the fragments at quite early time. It enhances (reduces) the production of free nucleons (fragments) over MST method. The directed flow of isobaric pair ³H-³He is more sensitive towards isospin asymmetry caused by MSTB than isobaric pair n-p. This sensitivity becomes quite strong towards the high incident energy and neutron-rich reaction system. In conclusion, the inclusion of binding energy in clusterization method for the flow studies has been uniquely important for understanding the isospin physics, especially for high density behavior of symmetry energy.

Key words: Binding energy, Isospin Physics, Symmetry energy, Directed flow

References

1 Gautam S,Kumari R, Puri R K. Phys Rev C, 2012, 86：034607.

2 Jain A, Kumar S, Puri R K. Phys Rev C, 2012, 85: 064608.

3 Ma Y G and Shen W Q. Phys Rev C，1995, 51: 710–715.

4 Ma Y G,Wei Y B, Shen W Q, et al. Phys Rev C，2006，73: 014604.

5 Kumar S, Ma Y G, Zhang G Q, et al. Phys Rev C，2011，84: 044620.

6 Kumar S, Ma Y G, Zhang G Q, et al. Phys Rev C，2012，85: 024620.

7 Yan T Z, Ma Y G, Cai X Z, et al. Phys Lett B, 2006, 638: 50–54.

8 Russotto P, Wu P Z, Zoric M, et al. Phys Lett B, 2011, 697: 471–476.

9 Wei Y B, Ma Y G, Shen W Q, et al. Phys Lett B，2004，586:225–231.

10 Kumar S and Ma Y G. Nucl Phys A, 2013, 898: 59–77.

11 Hartnack C, Puri R K, Aichelin J, et al. Eur Phys J A，1998, 1: 151–169.

12 Aichelin J. Phys Rep, 1991, 202: 233–360.

13 Puri R K and Aichelin J. J Comput Phys, 2000, 162: 245–266.

14 Zhang Y, Li Z X, Zhou C S, et al. Phys Rev C, 2012, 85: 051602.

15 Singh J and Puri R K. Phys Rev C, 2000, 62: 054602.

16 Ma Y G, Shen W Q, Zhu Z Y.Phys Rev C, 1995, 51：1029–1032.

17 Coupland D D S, Lynch W G, Tsang M B, et al. Phys Rev C, 2011, 84: 054603.

18 Ma Y G, Shen W Q, Feng J, et al. Phys Rev C, 1993, 48： R1492–R1496.

19 Tao C, Ma Y G, Zhang G Q, et al. Nucl Sci Tech, 2013, 24: 030502.

20 Famiano M, Liu T, Lynch W G, et al. Phys Rev Lett，2006, 97: 052701.

21 LiB A. Phys Rev Lett, 2002, 88: 192701.

22 LiB A, Chen L W, Ma H R, et al. Phys Rev C, 2007, 76: 051601(R).

23 Ogul R, Botvina A S, Atav U, et al. Phys Rev C, 2011, 83: 024608.

24 Zhang G Q, Cao X G, Fu Y, et al. Nucl Sci Tech, 2012,23: 61–64.

25 Ma Y G. Phys Rev Lett, 1999, 83: 3617–3620.

26 Fang D Q, Ma Y G, Zhong C et al. J Phys G, 2007, 34: 2173–2181.

27 Ma Y G, Su Q M, Shen W Q, et al. Phys Rev C, 1999, 60: 024607.

28 Vermani Y K and Puri R K, Euro phys Lett, 2009, 85：62001.

29 Dorso C O and Randrup J. Phys Lett B, 1993, 301: 328–333.

30 Goyal S and Puri R K. Phys Rev C, 2011, 83: 047601.

31 Danielewicz P, Lacey R, Lynch W G. Science, 2002, 298：1592–1596.

32 Reisdorf W，Leifels Y, Andronic A, et al. NuclPhysA, 2012, 876: 1–60.

33 Molitoris J J, Hahn D, Stocker H. Nucl Phys A, 1986, 447: 13–26.

34 Sood A D and Puri R K. Phys Rev C, 2006, 73: 067602.

35 Sood A D and Puri R K. Phys Rev C, 2004, 70: 034611.

36 Hartnack C, Oeschler H, Aichelin J. Phys Rev Lett, 2006, 96: 012302.

37 Vermani Y K and Puri R K. Nucl Phys A, 2010, 847: 243–252.

38 Zhang G Q, Ma Y G, Cao X G, et al. Phys Rev C, 2011, 84: 034612.

39 Gautam S, Chugh R, Sood A D, et al.J Phys G, 2010, 37: 085102.

40 Pak R, Li B A, Benenson W, et al. Phys Rev Lett, 1997, 78: 1026–1029.

41 Kumar S, Kumar S, Puri R K. Phys Rev C, 2010, 81: 014601.

42 Han L X, Ma G L, Ma Y G, et al. Phys Rev C, 2011, 84: 064907.

43 Wang J, Ma Y G, Shen W Q, et al.Nucl Sci Tech, 2013, 24: 030501.

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